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CN115130244B - Method and device for selecting target wheel-rail irregularity spectrum for dynamic simulation of wheel-rail system - Google Patents

Method and device for selecting target wheel-rail irregularity spectrum for dynamic simulation of wheel-rail system Download PDF

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CN115130244B
CN115130244B CN202210786435.8A CN202210786435A CN115130244B CN 115130244 B CN115130244 B CN 115130244B CN 202210786435 A CN202210786435 A CN 202210786435A CN 115130244 B CN115130244 B CN 115130244B
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韦凯
王平
宋卓西
赵泽明
任娟娟
张校恺
肖读杰
谢朝川
赵思佳
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Southwest Jiaotong University
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Abstract

The invention provides a method and a device for selecting a target wheel-rail irregularity spectrum for wheel-rail system dynamic simulation, wherein the method comprises the following steps: establishing a vehicle-track coupling vertical dynamic model based on preset vehicle parameters and track parameters; selecting a target long-wave irregularity spectrum from a plurality of pre-acquired long-wave irregularity spectra according to a preset standard track quality index management value; fitting the target long wave irregularity spectrum with a plurality of preset short wave irregularity spectra respectively to obtain a plurality of fitting results; obtaining the vibration acceleration of the wheel corresponding to each wheel-rail irregularity spectrum based on the fitting results and the vehicle-rail coupling vertical dynamic model; and determining a target wheel-rail irregularity spectrum based on the plurality of wheel vibration accelerations. In the method, the target wheel-rail irregularity spectrum is determined based on the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum, and the wheel-rail irregularity spectrum can be reasonably selected according to the actual line state, so that the wheel-rail contact response is accurately predicted.

Description

轮轨系统动力仿真的目标轮轨不平顺谱选取方法和装置Method and device for selecting target wheel-rail irregularity spectrum for dynamic simulation of wheel-rail system

技术领域Technical Field

本发明涉及轮轨系统动力响应预测技术领域,尤其是涉及一种轮轨系统动力仿真的目标轮轨不平顺谱选取方法和装置。The present invention relates to the technical field of wheel-rail system dynamic response prediction, and in particular to a method and device for selecting a target wheel-rail irregularity spectrum for dynamic simulation of a wheel-rail system.

背景技术Background Art

目前,轨道交通在给人们带来方便的同时也带来一系列振动影响,其中轮轨接触产生的振动会对车辆、轨道等造成一定的影响。现阶段,获取轮轨系统动力响应的方式主要有两种,一种是现场监测,另一种是数值仿真预测。若想研究某一具体工况下的轮轨系统振动响应,现场实测的方式耗费较多的人力物力,而数值仿真的方式较为便捷。其中,轮轨不平顺谱是轮轨系统动力仿真中非常重要的一部分,轮轨不平顺谱分为长波不平顺谱和短波不平顺谱,若想要准确地仿真预测轮轨动力响应,轮轨不平顺谱的选取势必要符合线路实际状态,因此,为轮轨系统动力仿真选取符合实际线路运营状态的轮轨不平顺谱是非常必要的。At present, rail transit brings convenience to people while also bringing a series of vibration effects. Among them, the vibration generated by wheel-rail contact will have a certain impact on vehicles, tracks, etc. At present, there are two main ways to obtain the dynamic response of the wheel-rail system, one is on-site monitoring, and the other is numerical simulation prediction. If you want to study the vibration response of the wheel-rail system under a specific working condition, the on-site measurement method consumes more manpower and material resources, while the numerical simulation method is more convenient. Among them, the wheel-rail unevenness spectrum is a very important part of the dynamic simulation of the wheel-rail system. The wheel-rail unevenness spectrum is divided into long-wave unevenness spectrum and short-wave unevenness spectrum. If you want to accurately simulate and predict the wheel-rail dynamic response, the selection of the wheel-rail unevenness spectrum must conform to the actual state of the line. Therefore, it is very necessary to select a wheel-rail unevenness spectrum that conforms to the actual line operation state for the dynamic simulation of the wheel-rail system.

目前现有技术在仿真计算中采用美国六级谱作为长波不平顺谱和短波不平顺谱,首先美国六级谱的谱线属于长波不平顺谱,不可以做短波不平顺谱;其次,短波不平顺谱的选取应该与实际线路相对应,这种方式没有根据实际线路状态合理选取轮轨不平顺谱,无法准确地预测轮轨接触响应。At present, the existing technology uses the American six-level spectrum as the long-wave unevenness spectrum and the short-wave unevenness spectrum in simulation calculations. First, the spectral lines of the American six-level spectrum belong to the long-wave unevenness spectrum and cannot be used as the short-wave unevenness spectrum; secondly, the selection of the short-wave unevenness spectrum should correspond to the actual line. This method does not reasonably select the wheel-rail unevenness spectrum according to the actual line status, and cannot accurately predict the wheel-rail contact response.

发明内容Summary of the invention

本发明的目的在于提供轮轨系统动力仿真的轮轨不平顺谱选取方法和装置,以根据实际线路状态合理选取不平顺谱,从而准确地预测轮轨接触响应。The object of the present invention is to provide a method and device for selecting wheel-rail irregularity spectrum for dynamic simulation of wheel-rail system, so as to reasonably select the irregularity spectrum according to the actual track state, thereby accurately predicting the wheel-rail contact response.

本发明提供的一种目标轮轨系统动力仿真的轮轨不平顺谱选取方法,方法包括:基于预设的车辆参数和轨道参数,建立车辆-轨道耦合垂向动力学模型;按照预设的标准轨道质量指数管理值,从预先获取到的多种长波不平顺谱中,选取目标长波不平顺谱;将目标长波不平顺谱分别与预设的多种短波不平顺谱进行拟合,得到多个拟合结果;基于多个拟合结果和车辆-轨道耦合垂向动力学模型,得到每种轮轨不平顺谱分别对应的车轮振动加速度;其中,每种短波不平顺谱分别与目标长波不平顺谱组合,得到每种轮轨不平顺谱;基于多个车轮振动加速度,确定目标轮轨不平顺谱The present invention provides a method for selecting a wheel-rail irregularity spectrum for dynamic simulation of a target wheel-rail system, the method comprising: establishing a vehicle-rail coupled vertical dynamics model based on preset vehicle parameters and track parameters; selecting a target long-wave irregularity spectrum from a plurality of pre-acquired long-wave irregularity spectra according to a preset standard track quality index management value; fitting the target long-wave irregularity spectrum with a plurality of preset short-wave irregularity spectra to obtain a plurality of fitting results; obtaining wheel vibration accelerations corresponding to each wheel-rail irregularity spectrum based on the plurality of fitting results and the vehicle-rail coupled vertical dynamics model; wherein each short-wave irregularity spectrum is respectively combined with the target long-wave irregularity spectrum to obtain each wheel-rail irregularity spectrum; determining the target wheel-rail irregularity spectrum based on the plurality of wheel vibration accelerations

进一步的,按照预设的标准轨道质量指数管理值,从预先获取到的多种长波不平顺谱中,选取目标长波不平顺谱的步骤包括:计算预先获取到的每种所述长波不平顺谱分别对应的轨道质量指数管理值;将每种轨道质量指数管理值与标准轨道质量指数管理值进行对比,得到多个第一对比结果;根据多个第一对比结果,从多种长波不平顺谱中,选取所述目标长波不平顺谱。Furthermore, the step of selecting a target long-wave unevenness spectrum from a plurality of long-wave unevenness spectra acquired in advance according to a preset standard track quality index management value includes: calculating the track quality index management values corresponding to each of the long-wave unevenness spectra acquired in advance; comparing each track quality index management value with the standard track quality index management value to obtain a plurality of first comparison results; and selecting the target long-wave unevenness spectrum from a plurality of long-wave unevenness spectra according to the plurality of first comparison results.

进一步的,每种长波不平顺谱分别对应的轨道质量指数管理值包括:左高低,右高低,左轨向,右轨向,轨距,水平,三角坑。Furthermore, the track quality index management values corresponding to each long-wave irregularity spectrum include: left high and low, right high and low, left track direction, right track direction, track gauge, level, and triangular pit.

进一步的,基于多个拟合结果和车辆-轨道耦合垂向动力学模型,得到每种轮轨不平顺谱分别对应的车轮振动加速度的步骤包括:对每个拟合结果进行傅里叶变换,生成每个拟合结果分别对应的不平顺空间样本;将每个不平顺空间样本输入到车辆-轨道耦合垂向动力学模型中,得到每种轮轨不平顺谱分别对应的车轮振动加速度。Furthermore, based on multiple fitting results and the vehicle-track coupled vertical dynamics model, the steps of obtaining the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum include: performing Fourier transform on each fitting result to generate an irregularity space sample corresponding to each fitting result; inputting each irregularity space sample into the vehicle-track coupled vertical dynamics model to obtain the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum.

进一步的,基于多个所述车轮振动加速度,确定目标轮轨不平顺谱的步骤包括:计算每个车轮振动加速度的幅值与预先获取到的实际车轮振动加速度的幅值之间的差值,得到多个差值结果;将多个差值结果中,数值最小的结果对应的车轮振动加速度,确定为目标车轮振动加速度;将目标车轮振动加速度对应的轮轨不平顺谱确定为目标轮轨不平顺谱。Furthermore, based on the multiple wheel vibration accelerations, the step of determining the target wheel-rail irregularity spectrum includes: calculating the difference between the amplitude of each wheel vibration acceleration and the amplitude of the actual wheel vibration acceleration acquired in advance, to obtain multiple difference results; determining the wheel vibration acceleration corresponding to the result with the smallest value among the multiple difference results as the target wheel vibration acceleration; and determining the wheel-rail irregularity spectrum corresponding to the target wheel vibration acceleration as the target wheel-rail irregularity spectrum.

进一步的,方法还包括:基于多个拟合结果和车辆-轨道耦合垂向动力学模型,得到每种轮轨不平顺谱分别对应的轮轨力;将每个轮轨力作为激励输入到预先建立的轨道-隧道-土层耦合动力仿真分析模型中,得到每种轮轨不平顺谱分别对应的隧道壁振动源强。Furthermore, the method also includes: obtaining the wheel-rail force corresponding to each wheel-rail irregularity spectrum based on multiple fitting results and the vehicle-track coupled vertical dynamics model; inputting each wheel-rail force as an excitation into a pre-established track-tunnel-soil coupled dynamic simulation analysis model to obtain the tunnel wall vibration source intensity corresponding to each wheel-rail irregularity spectrum.

进一步的,车辆-轨道耦合垂向动力学模型包括:车辆垂向模型和轨道模型;其中,车辆垂向模型为将车辆模拟为具有二系悬挂的半车系统的模型;轨道模型采用长枕埋入式整体道床模拟。Furthermore, the vehicle-track coupled vertical dynamics model includes: a vehicle vertical model and a track model; wherein the vehicle vertical model simulates the vehicle as a half-vehicle system with a secondary suspension; and the track model is simulated using a long-pillow embedded integral ballast bed.

本发明提供的一种轮轨系统动力仿真的目标轮轨不平顺谱选取装置,装置包括:模型建立模块,用于基于预设的车辆参数和轨道参数,建立车辆-轨道耦合垂向动力学模型;选取模块,用于按照预设的标准轨道质量指数管理值,从预先获取到的多种长波不平顺谱中,选取目标长波不平顺谱;拟合模块,用于将目标长波不平顺谱分别与预设的多种短波不平顺谱进行拟合,得到多个拟合结果;获取模块,用于基于多个拟合结果和车辆-轨道耦合垂向动力学模型,得到每种轮轨不平顺谱分别对应的车轮振动加速度;其中,每种短波不平顺谱分别与所述目标长波不平顺谱组合,得到每种轮轨不平顺谱;确定模块,用于基于多个车轮振动加速度,确定目标轮轨不平顺谱。The present invention provides a target wheel-rail irregularity spectrum selection device for dynamic simulation of a wheel-rail system, the device comprising: a model establishment module, used for establishing a vehicle-rail coupling vertical dynamics model based on preset vehicle parameters and track parameters; a selection module, used for selecting a target long-wave irregularity spectrum from a plurality of pre-acquired long-wave irregularity spectra according to a preset standard track quality index management value; a fitting module, used for fitting the target long-wave irregularity spectrum with a plurality of preset short-wave irregularity spectra respectively to obtain a plurality of fitting results; an acquisition module, used for obtaining wheel vibration accelerations corresponding to each wheel-rail irregularity spectrum respectively based on the plurality of fitting results and the vehicle-rail coupling vertical dynamics model; wherein each short-wave irregularity spectrum is respectively combined with the target long-wave irregularity spectrum to obtain each wheel-rail irregularity spectrum; and a determination module, used for determining the target wheel-rail irregularity spectrum based on a plurality of wheel vibration accelerations.

本发明提供的一种电子设备,电子设备包括处理器和存储器,存储器存储有能够被处理器执行的计算机可执行指令,处理器执行计算机可执行指令以实现上述任一项的轮轨系统动力仿真的目标轮轨不平顺谱选取方法。The present invention provides an electronic device, which includes a processor and a memory, wherein the memory stores computer executable instructions that can be executed by the processor, and the processor executes the computer executable instructions to implement any of the above-mentioned target wheel-rail irregularity spectrum selection methods for dynamic simulation of a wheel-rail system.

本发明提供的一种计算机可读存储介质,计算机可读存储介质存储有计算机可执行指令,计算机可执行指令在被处理器调用和执行时,计算机可执行指令促使处理器实现上述任一项的轮轨系统动力仿真的目标轮轨不平顺谱选取方法。The present invention provides a computer-readable storage medium, which stores computer-executable instructions. When the computer-executable instructions are called and executed by a processor, the computer-executable instructions prompt the processor to implement any of the above-mentioned target wheel-rail irregularity spectrum selection methods for dynamic simulation of a wheel-rail system.

本发明提供了一种轮轨系统动力仿真的目标轮轨不平顺谱选取方法和装置,方法包括:基于预设的车辆参数和轨道参数,建立车辆-轨道耦合垂向动力学模型;按照预设的标准轨道质量指数管理值,从预先获取到的多种长波不平顺谱中,选取目标长波不平顺谱;将目标长波不平顺谱分别与预设的多种短波不平顺谱进行拟合,得到多个拟合结果;基于多个拟合结果和车辆-轨道耦合垂向动力学模型,得到每种轮轨不平顺谱分别对应的车轮振动加速度;基于多个车轮振动加速度,确定目标轮轨不平顺谱。该方法中,基于每种轮轨不平顺谱分别对应的车轮振动加速度,确定目标轮轨不平顺谱,可以根据实际线路状态合理选取轮轨不平顺谱,从而准确地预测轮轨接触响应。The present invention provides a method and device for selecting a target wheel-rail irregularity spectrum for dynamic simulation of a wheel-rail system, the method comprising: establishing a vehicle-rail coupling vertical dynamics model based on preset vehicle parameters and track parameters; selecting a target long-wave irregularity spectrum from a plurality of pre-acquired long-wave irregularity spectra according to a preset standard track quality index management value; fitting the target long-wave irregularity spectrum with a plurality of preset short-wave irregularity spectra to obtain a plurality of fitting results; obtaining the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum based on the plurality of fitting results and the vehicle-rail coupling vertical dynamics model; determining the target wheel-rail irregularity spectrum based on the plurality of wheel vibration accelerations. In the method, the target wheel-rail irregularity spectrum is determined based on the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum, and the wheel-rail irregularity spectrum can be reasonably selected according to the actual line state, thereby accurately predicting the wheel-rail contact response.

附图说明BRIEF DESCRIPTION OF THE DRAWINGS

为了更清楚地说明本发明具体实施方式或现有技术中的技术方案,下面将对具体实施方式或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图是本发明的一些实施方式,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the specific implementation methods of the present invention or the technical solutions in the prior art, the drawings required for use in the specific implementation methods or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are some implementation methods of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.

图1为本发明实施例提供的一种轮轨系统动力仿真的目标轮轨不平顺谱选取方法的流程图;FIG1 is a flow chart of a method for selecting a target wheel-rail irregularity spectrum for dynamic simulation of a wheel-rail system provided by an embodiment of the present invention;

图2为本发明实施例提供的一种地铁车辆垂向模型示意图;FIG2 is a schematic diagram of a vertical model of a subway vehicle provided by an embodiment of the present invention;

图3为本发明实施例提供的一种轨道模型示意图;FIG3 is a schematic diagram of a track model provided by an embodiment of the present invention;

图4为本发明实施例提供的另一种轮轨系统动力仿真的目标轮轨不平顺谱选取方法的流程图;FIG4 is a flow chart of another method for selecting a target wheel-rail irregularity spectrum for dynamic simulation of a wheel-rail system provided by an embodiment of the present invention;

图5为本发明实施例提供的一种长波高低不平顺时程曲线示意图;FIG5 is a schematic diagram of a long-wave height irregularity time history curve provided by an embodiment of the present invention;

图6为本发明实施例提供的一种短波高低不平顺时程曲线示意图;FIG6 is a schematic diagram of a shortwave high and low unevenness time history curve provided by an embodiment of the present invention;

图7为本发明实施例提供的一种不同轮轨不平顺仿真得到的车轮垂向振动加速度示意图;FIG7 is a schematic diagram of wheel vertical vibration acceleration obtained by simulating different wheel-rail irregularities provided by an embodiment of the present invention;

图8为本发明实施例提供的一种轨道-隧道-土体ABAQUS有限元模型示意图;FIG8 is a schematic diagram of a track-tunnel-soil ABAQUS finite element model provided by an embodiment of the present invention;

图9为本发明实施例提供的一种不同轮轨不平顺作用下的隧道壁分频振级示意图;FIG9 is a schematic diagram of the frequency division vibration level of a tunnel wall under different wheel-rail irregularities provided by an embodiment of the present invention;

图10为本发明实施例提供的一种轮轨系统动力仿真的目标轮轨不平顺谱选取装置的结构示意图;FIG10 is a schematic structural diagram of a target wheel-rail irregularity spectrum selection device for dynamic simulation of a wheel-rail system provided by an embodiment of the present invention;

图11为本发明实施例提供的一种电子设备的结构示意图。FIG. 11 is a schematic diagram of the structure of an electronic device provided by an embodiment of the present invention.

具体实施方式DETAILED DESCRIPTION

结合实施例对本发明的技术方案进行清楚、完整地描述,显然,所描述的实施例是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solution of the present invention is clearly and completely described in conjunction with the embodiments. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

我国新增轨道交通运营长度超过2000公里,总运营里程超过5700公里,现阶段,获取轮轨系统动力响应的方式主要有两种,一种是现场监测,另一种是数值仿真预测,由于现场实测的方式耗费较多的人力物力,学者们普遍采用较为便捷的数值仿真的手段来研究轮轨系统振动响应。其中,轮轨不平顺是轮轨系统动力仿真中非常重要的一部分,轮轨不平顺分为长波不平顺和短波不平顺,普遍认为波长大于1m的是长波不平顺,波长小于1m的为短波不平顺。受到轮轨不平顺的激扰,车辆-轨道耦合系统会产生随机振动,一方面影响了乘客的舒适性和货物运送平稳性,另一方面影响到车辆结构部件,扣件系统等的疲劳伤损,最终线路变形累积,反过来又加剧了轨道几何状态的恶化,增大轮轨系统动力响应。因此,若想要准确地仿真预测轮轨动力响应,为轮轨系统动力仿真选取符合实际线路运营状态的轮轨不平顺谱是非常必要的。The newly added rail transit operation length in my country exceeds 2,000 kilometers, and the total operation mileage exceeds 5,700 kilometers. At present, there are two main ways to obtain the dynamic response of the wheel-rail system. One is on-site monitoring, and the other is numerical simulation prediction. Since the on-site measurement method consumes more manpower and material resources, scholars generally use more convenient numerical simulation methods to study the vibration response of the wheel-rail system. Among them, wheel-rail unevenness is a very important part of the dynamic simulation of the wheel-rail system. Wheel-rail unevenness is divided into long-wave unevenness and short-wave unevenness. It is generally believed that the wavelength is greater than 1m is long-wave unevenness, and the wavelength is less than 1m is short-wave unevenness. Under the stimulation of wheel-rail unevenness, the vehicle-track coupling system will produce random vibrations, which on the one hand affects the comfort of passengers and the stability of cargo transportation, and on the other hand affects the fatigue damage of vehicle structural components, fastener systems, etc., and finally the line deformation accumulates, which in turn aggravates the deterioration of the track geometry and increases the dynamic response of the wheel-rail system. Therefore, if you want to accurately simulate and predict the dynamic response of the wheel-rail system, it is very necessary to select a wheel-rail unevenness spectrum that conforms to the actual line operation state for the dynamic simulation of the wheel-rail system.

目前现有技术提出了一种在仿真计算中采用美国六级谱作为长波和短波不平顺激励的方法,首先美国六级谱的谱线波长为1.524~304.8m,属于长波不平顺,不可以做短波不平顺;其次,短波不平顺的选取应该与现场不平顺情况一致,因此这种方法选取的短波不平顺是不合理的,且没有根据实际线路运营状态合理选取不平顺,无法准确地预测轮轨接触响应。At present, the existing technology has proposed a method of using the American six-level spectrum as the long-wave and short-wave unevenness excitation in simulation calculations. First, the spectral line wavelength of the American six-level spectrum is 1.524~304.8m, which belongs to long-wave unevenness and cannot be used for short-wave unevenness; secondly, the selection of short-wave unevenness should be consistent with the on-site unevenness. Therefore, the short-wave unevenness selected by this method is unreasonable, and the unevenness is not reasonably selected according to the actual line operation status, and the wheel-rail contact response cannot be accurately predicted.

为便于对本实施例进行理解,首先对本发明实施例所公开的一种轮轨系统动力仿真的目标轮轨不平顺谱选取方法进行详细介绍,如图1所示,该方法包括如下步骤:To facilitate understanding of this embodiment, a method for selecting a target wheel-rail irregularity spectrum for dynamic simulation of a wheel-rail system disclosed in an embodiment of the present invention is first introduced in detail. As shown in FIG1 , the method comprises the following steps:

步骤S102,基于预设的车辆参数和轨道参数,建立车辆-轨道耦合垂向动力学模型。Step S102: establishing a vehicle-track coupled vertical dynamics model based on preset vehicle parameters and track parameters.

上述车辆-轨道耦合垂向动力学模型包括:车辆垂向模型和轨道模型;其中,车辆垂向模型根据具体的车辆类型确定,可以是地铁车辆垂向模型、高铁车辆垂向模型等,以地铁B型车辆为例,在具体实现时,根据车辆-轨道耦合动力学理论在MATLAB数学软件中建立数值仿真模型(相当于上述车辆-轨道耦合垂向动力学模型),具体的地铁B型车辆参数(相当于上述预设的车辆参数)和轨道模型参数(相当于上述预设的轨道参数)如表1 和表2所示:The above-mentioned vehicle-track coupling vertical dynamics model includes: a vehicle vertical model and a track model; wherein, the vehicle vertical model is determined according to the specific vehicle type, and can be a subway vehicle vertical model, a high-speed rail vehicle vertical model, etc. Taking a subway type B vehicle as an example, in specific implementation, a numerical simulation model (equivalent to the above-mentioned vehicle-track coupling vertical dynamics model) is established in MATLAB mathematical software according to the vehicle-track coupling dynamics theory. The specific subway type B vehicle parameters (equivalent to the above-mentioned preset vehicle parameters) and track model parameters (equivalent to the above-mentioned preset track parameters) are shown in Tables 1 and 2:

表1地铁B型车辆参数Table 1 Parameters of Metro Type B Vehicle

Figure BDA0003728691100000061
Figure BDA0003728691100000061

Figure BDA0003728691100000071
Figure BDA0003728691100000071

表2轨道模型参数Table 2 Track model parameters

Figure BDA0003728691100000072
Figure BDA0003728691100000072

当以地铁B型车辆为例时,上述辆垂向模型可以确定为地铁车辆垂向模型,该地铁车辆垂向模型为将车辆模拟为具有二系悬挂的半车系统的模型;如下图2所示,该系统可完整地反映车体的沉浮(Zc)和点头(βc)运动,前后转向架的沉浮(Zt1、Zt2)和点头(βt1,βt2)运动,以及四个车轮的垂向运动(Zwi,i=1~4),共10个自由度。上述轨道模型可以采用长枕埋入式整体道床模拟,该轨道模型可以由钢轨、扣件、混凝土无砟道床板及混凝土底座等组成,如图3所示。When taking a subway B-type vehicle as an example, the above vehicle vertical model can be determined as a subway vehicle vertical model, which simulates the vehicle as a half-vehicle system with a two-stage suspension; as shown in Figure 2 below, the system can fully reflect the body's heave (Z c ) and nodding (β c ) motion, the front and rear bogies' heave (Z t1 , Z t2 ) and nodding (β t1 , β t2 ) motion, and the four wheels' vertical motion (Z wi , i=1-4), with a total of 10 degrees of freedom. The above track model can be simulated using a long-pillow embedded integral roadbed, which can be composed of rails, fasteners, concrete ballastless roadbed plates and concrete bases, as shown in Figure 3.

步骤S104,按照预设的标准轨道质量指数管理值,从预先获取到的多种长波不平顺谱中,选取目标长波不平顺谱。Step S104: selecting a target long-wave roughness spectrum from a plurality of long-wave roughness spectra acquired in advance according to a preset standard track quality index management value.

上述预先获取到的多种长波不平顺谱可以为美国五级谱,美国六级谱,德国高干扰谱,德国低干扰谱和高铁谱等其他长波不平顺谱。上述预设的标准轨道质量指数管理值实际上指的是《普速铁路线路修理规则》(GW 102-2019)中提出的不同设计速度等级下的轨道质量指数管理值,如表3 所示:The above-mentioned multiple long-wave unevenness spectra obtained in advance can be other long-wave unevenness spectra such as the US five-level spectrum, the US six-level spectrum, the German high interference spectrum, the German low interference spectrum and the high-speed rail spectrum. The above-mentioned preset standard track quality index management value actually refers to the track quality index management value under different design speed levels proposed in the "Rules for the Repair of Conventional Railway Lines" (GW 102-2019), as shown in Table 3:

表3轨道质量指数管理值Table 3 Track quality index management values

Figure BDA0003728691100000073
Figure BDA0003728691100000073

Figure BDA0003728691100000081
Figure BDA0003728691100000081

上述表3中当速度等级为V≤80km/h时,左高低轨道质量指数管理值为 2.2~2.5mm,表示在线路验收阶段,其左高低轨道质量指数管理值不能超过 2.2mm,在线路运营阶段,其左高低轨道质量指数管理值不能超过2.5mm。In the above Table 3, when the speed level is V≤80km/h, the left high and low track quality index management value is 2.2~2.5mm, which means that during the line acceptance stage, the left high and low track quality index management value cannot exceed 2.2mm, and during the line operation stage, the left high and low track quality index management value cannot exceed 2.5mm.

由于实际线路是按照《普速铁路线路修理规则》(GW 102-2019)中给出的轨道质量指数管理值进行验收和检查的,因此在仿真计算中按照上述表3中的轨道质量指数管理值选取长波不平顺是合理的。Since the actual line is accepted and inspected according to the track quality index management values given in the "Rules for Repair of Conventional Railway Lines" (GW 102-2019), it is reasonable to select long-wave irregularity according to the track quality index management values in Table 3 above in the simulation calculation.

在具体实现时,可以按照上述表3中的轨道质量指数管理值,从美国五级谱,美国六级谱,德国高干扰谱,德国低干扰谱和高铁谱等其他长波不平顺谱中选取出一种长波不平顺谱,作为目标长波不平顺谱。In specific implementation, according to the track quality index management value in Table 3 above, a long wave unevenness spectrum can be selected from other long wave unevenness spectra such as the US five-level spectrum, the US six-level spectrum, the German high interference spectrum, the German low interference spectrum and the high-speed rail spectrum as the target long wave unevenness spectrum.

步骤S106,将目标长波不平顺谱分别与预设的多种短波不平顺谱进行拟合,得到多个拟合结果。Step S106, fitting the target long-wave roughness spectrum with a plurality of preset short-wave roughness spectra to obtain a plurality of fitting results.

上述预设的多种短波不平顺谱可以为铁科谱,ISO 3095-2005粗糙度谱和ISO3095-2013粗糙度谱等其他短波不平顺谱。在实际实现时,可以从多种短波不平顺谱中选取不同的短波不平顺,然后与上述选取的目标长波不平顺谱拟合成多条不平顺功率谱密度曲线(相当于上述多个拟合结果)。The preset multiple short-wave roughness spectra may be other short-wave roughness spectra such as iron science spectrum, ISO 3095-2005 roughness spectrum and ISO3095-2013 roughness spectrum. In actual implementation, different short-wave roughness can be selected from the multiple short-wave roughness spectra, and then fit with the selected target long-wave roughness spectrum to form multiple roughness power spectrum density curves (equivalent to the multiple fitting results).

步骤S108,基于多个拟合结果和车辆-轨道耦合垂向动力学模型,得到每种轮轨不平顺谱分别对应的车轮振动加速度。Step S108, based on the multiple fitting results and the vehicle-track coupled vertical dynamics model, the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum is obtained.

每种短波不平顺谱分别与目标长波不平顺谱组合,得到每种轮轨不平顺谱;即每种轮轨不平顺谱都包括目标长波不平顺谱和多种短波不平顺谱中的其中一种短波不平顺谱,例如,一种轮轨不平顺谱可以为德国低干扰谱(对应目标长波不平顺谱)+ISO 3095-2013粗糙度谱(对应一种短波不平顺谱)。Each short-wave irregularity spectrum is respectively combined with the target long-wave irregularity spectrum to obtain each wheel-rail irregularity spectrum; that is, each wheel-rail irregularity spectrum includes the target long-wave irregularity spectrum and one of the multiple short-wave irregularity spectra. For example, one wheel-rail irregularity spectrum may be a German low-interference spectrum (corresponding to the target long-wave irregularity spectrum) + an ISO 3095-2013 roughness spectrum (corresponding to one short-wave irregularity spectrum).

步骤S110,基于多个车轮振动加速度,确定目标轮轨不平顺谱。Step S110: determining a target wheel-rail irregularity spectrum based on a plurality of wheel vibration accelerations.

上述轮轨系统动力仿真的目标轮轨不平顺谱选取方法,方法包括:基于预设的车辆参数和轨道参数,建立车辆-轨道耦合垂向动力学模型;按照预设的标准轨道质量指数管理值,从预先获取到的多种长波不平顺谱中,选取目标长波不平顺谱;将目标长波不平顺谱分别与预设的多种短波不平顺谱进行拟合,得到多个拟合结果;基于多个拟合结果和车辆-轨道耦合垂向动力学模型,得到每种轮轨不平顺谱分别对应的车轮振动加速度;其中每种短波不平顺谱分别与目标长波不平顺谱组合,得到每种轮轨不平顺谱;基于多个车轮振动加速度,确定目标轮轨不平顺谱。该方式中,基于每种轮轨不平顺谱分别对应的车轮振动加速度,确定目标轮轨不平顺谱,可以根据实际线路状态合理选取轮轨不平顺谱,从而准确地预测轮轨接触响应。The target wheel-rail irregularity spectrum selection method for the above-mentioned wheel-rail system dynamic simulation includes: establishing a vehicle-rail coupling vertical dynamics model based on preset vehicle parameters and track parameters; selecting a target long-wave irregularity spectrum from a plurality of pre-acquired long-wave irregularity spectra according to a preset standard track quality index management value; fitting the target long-wave irregularity spectrum with a plurality of preset short-wave irregularity spectra to obtain a plurality of fitting results; obtaining the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum based on the plurality of fitting results and the vehicle-rail coupling vertical dynamics model; wherein each short-wave irregularity spectrum is combined with the target long-wave irregularity spectrum to obtain each wheel-rail irregularity spectrum; and determining the target wheel-rail irregularity spectrum based on the plurality of wheel vibration accelerations. In this method, the target wheel-rail irregularity spectrum is determined based on the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum, and the wheel-rail irregularity spectrum can be reasonably selected according to the actual line state, thereby accurately predicting the wheel-rail contact response.

本发明实施例还提供了另一种轮轨系统动力仿真的目标轮轨不平顺谱选取方法,该方法在上述实施例方法的基础上实现;如图4所示,该方法包括如下步骤:The embodiment of the present invention further provides another method for selecting a target wheel-rail irregularity spectrum for dynamic simulation of a wheel-rail system. The method is implemented on the basis of the method in the above embodiment. As shown in FIG4 , the method comprises the following steps:

步骤S202,基于预设的车辆参数和轨道参数,建立车辆-轨道耦合垂向动力学模型。Step S202: establishing a vehicle-track coupled vertical dynamics model based on preset vehicle parameters and track parameters.

步骤S204,计算预先获取到的每种长波不平顺谱分别对应的轨道质量指数管理值。Step S204: Calculate the track quality index management value corresponding to each long-wave irregularity spectrum acquired in advance.

上述每种长波不平顺谱分别对应的轨道质量指数管理值包括:左高低,右高低,左轨向,右轨向,轨距,水平,三角坑。The track quality index management values corresponding to each of the above-mentioned long-wave irregularity spectra include: left high-low, right high-low, left track direction, right track direction, track gauge, level, and triangular pit.

轨道质量指数(TQI)是一种对长波不平顺的评价管理值,《高速铁路工程动态验收技术规范》(TB 10761-2013)中给出了轨道质量指数的计算公式,如下所示:The track quality index (TQI) is an evaluation and management value for long-wave irregularity. The calculation formula for the track quality index is given in the Technical Specifications for Dynamic Acceptance of High-Speed Railway Projects (TB 10761-2013), as shown below:

Figure BDA0003728691100000091
Figure BDA0003728691100000091

式中,σi为各项几何偏差的标准差,各项几何偏差分别可以为左高低,右高低,左轨向,右轨向,轨距,水平和三角坑(mm),σi的计算公式,如下所示:Wherein, σi is the standard deviation of various geometric deviations, and various geometric deviations can be left high-low, right high-low, left track direction, right track direction, track gauge, level and triangular pit (mm). The calculation formula of σi is as follows:

Figure BDA0003728691100000101
Figure BDA0003728691100000101

其中:

Figure BDA0003728691100000102
为各项几何偏差在单元区段中xij的算术平均值(mm);xij为采样点的幅值;N为采样点的个数(200m单元区段,一般0.25m取一个采样点)。in:
Figure BDA0003728691100000102
is the arithmetic mean (mm) of various geometric deviations in the unit section xij ; xij is the amplitude of the sampling point; N is the number of sampling points (200m unit section, generally one sampling point is taken every 0.25m).

目前适合我国高速铁路的长波不平顺谱为高铁谱,但是对于普速铁路,国内还没有与之对应的长波不平顺谱,假设设计时速下的线路为设计速度为80km/h的地铁线路(对应上述普速铁路),则可以假设预先获取到五种长波不平顺谱,分别为美国五级谱,美国六级谱,德国高干扰谱,德国低干扰谱和高铁谱,在实际实现时,根据上述σi的计算公式,分别计算出上述五种长波不平顺谱中每种长波不平顺谱的左高低,右高低,左轨向,右轨向,轨距,水平,三角坑的TQI管理值,具体的,每一种长波不平顺谱均选取2000m的长度,其中200m为一组TQI,表4和表5分别展示了德国低干扰谱和美国六级谱的TQI管理值计算结果:At present, the long-wave unevenness spectrum suitable for China's high-speed railway is the high-speed railway spectrum, but for conventional railways, there is no corresponding long-wave unevenness spectrum in China. Assuming that the line under the design speed is a subway line with a design speed of 80 km/h (corresponding to the above conventional railway), it can be assumed that five long-wave unevenness spectra are pre-acquired, namely the US five-level spectrum, the US six-level spectrum, the German high interference spectrum, the German low interference spectrum and the high-speed railway spectrum. In actual implementation, according to the above calculation formula of σ i , the TQI management values of the left high-low, right high-low, left track direction, right track direction, track gauge, level and triangular pit of each of the above five long-wave unevenness spectra are calculated respectively. Specifically, each long-wave unevenness spectrum selects a length of 2000m, of which 200m is a group of TQI. Tables 4 and 5 show the calculation results of the TQI management values of the German low interference spectrum and the US six-level spectrum respectively:

表4德国低干扰谱七项指标TQI管理值(2000m)Table 4 TQI management values of seven indicators of Germany's low interference spectrum (2000m)

Figure BDA0003728691100000103
Figure BDA0003728691100000103

Figure BDA0003728691100000111
Figure BDA0003728691100000111

表5美国六级谱七项指标TQI管理值(2000m)Table 5 TQI management values of seven indicators in the US six-level spectrum (2000m)

Figure BDA0003728691100000112
Figure BDA0003728691100000112

同理,以同样的方式分别计算2000m的美国五级谱、德国高干扰谱和高铁谱的TQI管理值,得到五种长波不平顺谱的TQI管理值如表6所示:Similarly, the TQI management values of the 2000m American five-level spectrum, the German high interference spectrum and the high-speed rail spectrum are calculated in the same way, and the TQI management values of the five long-wave unevenness spectra are shown in Table 6:

表6七项指标TQI管理值对比(2000m)Table 6 Comparison of TQI management values of seven indicators (2000m)

左高低Left High Low 右高低Right High Low 左轨向Left track 右轨向Right track 轨距gauge 水平level 三角坑Triangle Pit 美国五级谱American Five-Level Spectrum 3.2~4.73.2~4.7 3.1~4.73.1~4.7 2.8~5.02.8~5.0 2.6~5.02.6~5.0 1.7~2.91.7~2.9 1.7~2.81.7~2.8 1.2~1.81.2~1.8 美国六级谱American Sixth Grade 2.1~3.62.1~3.6 2.3~3.62.3~3.6 2.0~3.42.0~3.4 2.2~3.52.2~3.5 1.3~2.31.3~2.3 1.6~2.01.6~2.0 1.0~1.91.0~1.9 德国高干扰谱German High Interference Spectrum 2.6~4.82.6~4.8 2.6~4.42.6~4.4 2.0~3.02.0~3.0 2.0~3.02.0~3.0 0.4~0.70.4~0.7 1.8~3.01.8~3.0 0.3~0.50.3~0.5 德国低干扰谱German low interference spectrum 1.8~2.41.8~2.4 1.8~2.41.8~2.4 1.3~2.01.3~2.0 1.3~2.01.3~2.0 0.4~0.50.4~0.5 1.2~1.71.2~1.7 0.3~0.40.3~0.4 高铁谱High-speed rail spectrum 0.5~0.60.5~0.6 0.5~0.70.5~0.7 0.5~0.60.5~0.6 0.4~0.70.4~0.7 0.3~0.50.3~0.5 0.4~0.60.4~0.6 0.3~0.4 0.3~0.4

步骤S206,将每种轨道质量指数管理值与标准轨道质量指数管理值进行对比,得到多个第一对比结果。Step S206: Compare each track quality index management value with the standard track quality index management value to obtain a plurality of first comparison results.

步骤S208,根据多个第一对比结果,从多种长波不平顺谱中,选取目标长波不平顺谱。Step S208 : selecting a target long-wave roughness spectrum from a plurality of long-wave roughness spectra according to the plurality of first comparison results.

具体实现时,可以将上述表6中五种谱的七项指标TQI管理值与《普速铁路线路修理规则》(GW 102-2019)中给出的不同设计时速等级的TQI 管理值(如表3所示)进行对比,根据多个对比结果为不同设计时速下的线路选取合理的长波不平顺谱,选取的长波不平顺谱对应的七项TQI管理值需同时满足表3中的七项TQI管理值。不同设计时速下的长波不平顺谱选取如下表7In specific implementation, the TQI management values of the seven indicators of the five spectra in Table 6 above can be compared with the TQI management values of different design speed levels given in the "Rules for Repair of Conventional Railway Lines" (GW 102-2019) (as shown in Table 3). According to multiple comparison results, a reasonable long-wave unevenness spectrum is selected for the line at different design speeds. The seven TQI management values corresponding to the selected long-wave unevenness spectrum must simultaneously meet the seven TQI management values in Table 3. The selection of long-wave unevenness spectra at different design speeds is shown in Table 7 below.

表7不同设计时速下的长波不平顺谱选取Table 7 Selection of long wave irregularity spectra at different design speeds

Figure BDA0003728691100000121
Figure BDA0003728691100000121

在实际实现时,符合表3中某一速度等级对应的七项TQI管理值的长波不平顺谱可以有很多条,表7中针对每一速度等级只给出了符合该速度等级对应的七项TQI管理值的一条长波不平顺谱。In actual implementation, there may be many long-wave roughness spectra that meet the seven TQI management values corresponding to a certain speed level in Table 3. Table 7 only provides one long-wave roughness spectrum that meets the seven TQI management values corresponding to each speed level.

对于设计时速下的线路为设计速度为80km/h的地铁线路来说,选取的目标长波不平顺谱对应的七项TQI管理值均应满足表3中V≤80km/h这个速度等级对应的七项TQI管理值,其中,表3中V≤80km/h这个速度等级对应的左高低、右高低,左轨向,右轨向,轨距,水平,三角坑的TQI管理值分别为2.2~2.5mm、2.2~2.5mm、1.8~2.2mm、1.8~2.2mm、1.4~1.6mm、 1.7~1.9mm、1.9~2.1mm,德国低干扰功率谱对应的左高低、右高低、左轨向、右轨向、轨距、水平、三角坑的TQI管理值分别为1.8~2.4mm、1.8~2.4 mm、1.3~2.0mm、1.3~2.0mm、0.4~0.5mm、1.2~1.7mm、0.3~0.4mm;对于德国低干扰功率谱来说,在线路运营阶段,其对应的左高低和右高低最大值均为2.4mm,小于表3中V≤80km/h这个速度等级对应的左高低和右高低最大值2.5mm,其对应的左轨向和右轨向最大值均为2.0mm,小于表 3中V≤80km/h这个速度等级对应的左轨向和右轨向最大值2.2mm,其对应的轨距最大值为0.5mm,小于表3中V≤80km/h这个速度等级对应的轨距最大值1.6mm,其对应的水平最大值为1.7mm,小于表3中V≤80km/h这个速度等级对应的水平最大值1.9mm,其对应的三角坑最大值为0.4mm,小于表3中V≤80km/h这个速度等级对应的三角坑最大值2.1mm,因此,在运营阶段,选取德国低干扰谱作为目标长波不平顺谱是合理的。For a subway line with a design speed of 80 km/h, the seven TQI management values corresponding to the selected target long-wave unevenness spectrum shall all meet the seven TQI management values corresponding to the speed level of V≤80 km/h in Table 3. Among them, the TQI management values of left high-low, right high-low, left track direction, right track direction, track gauge, horizontal, and triangular pit corresponding to the speed level of V≤80 km/h in Table 3 are 2.2-2.5 mm, 2.2-2.5 mm, 1.8-2.2 mm, 1.8-2.2 mm, 1.4-1.6 mm, 1.7-1.9 mm, and 1.9-2.1 mm, respectively. The TQI management values of left high-low, right high-low, left track direction, right track direction, track gauge, horizontal, and triangular pit corresponding to the German low interference power spectrum are 1.8-2.4 mm, 1.8-2.4 mm, and 1.8-2.4 mm, respectively. mm, 1.3~2.0mm, 1.3~2.0mm, 0.4~0.5mm, 1.2~1.7mm, 0.3~0.4mm; for the German low interference power spectrum, during the line operation stage, the corresponding left high-low and right high-low maximum values are both 2.4mm, which is less than the left high-low and right high-low maximum values of 2.5mm corresponding to the speed level of V≤80km/h in Table 3, and the corresponding left track direction and right track direction maximum values are both 2.0mm, which is less than the left high-low and right high-low maximum values of 2.5mm in Table 3. The maximum values of the left and right rail directions corresponding to the speed level of V≤80km/h in Table 3 are 2.2mm, and the corresponding maximum value of the track gauge is 0.5mm, which is smaller than the maximum value of the track gauge of 1.6mm corresponding to the speed level of V≤80km/h in Table 3. The corresponding maximum value of the horizontal track is 1.7mm, which is smaller than the maximum value of the horizontal track of 1.9mm corresponding to the speed level of V≤80km/h in Table 3. The corresponding maximum value of the triangular pit is 0.4mm, which is smaller than the maximum value of the triangular pit of 2.1mm corresponding to the speed level of V≤80km/h in Table 3. Therefore, it is reasonable to select the German low interference spectrum as the target long-wave unevenness spectrum during the operation stage.

步骤S210,将目标长波不平顺谱分别与预设的多种短波不平顺谱进行拟合,得到多个拟合结果。Step S210 , fitting the target long-wave roughness spectrum with a plurality of preset short-wave roughness spectra to obtain a plurality of fitting results.

步骤S212,对每个拟合结果进行傅里叶变换,生成每个拟合结果分别对应的不平顺空间样本。Step S212, performing Fourier transform on each fitting result to generate a non-smooth space sample corresponding to each fitting result.

上述不平顺空间样本包括长波不平顺空间样本和短波不平顺空间样本,长波不平顺空间样本还可以包括长波高低不平顺空间样本(相当于长波高低不平顺时程曲线),短波不平顺空间样本还可以包括短波高低不平顺空间样本(相当于短波高低不平顺时程曲线);其中美国五级谱,美国六级谱,德国高干扰谱,德国低干扰谱和高铁谱的高低不平顺时程曲线如图5所示;铁科谱,ISO 3095-2005粗糙度谱和ISO 3095-2013粗糙度谱的高低不平顺时程曲线如图6所示。The above-mentioned roughness space samples include long-wave roughness space samples and short-wave roughness space samples. The long-wave roughness space samples can also include long-wave high and low roughness space samples (equivalent to long-wave high and low roughness time-history curves), and the short-wave roughness space samples can also include short-wave high and low roughness space samples (equivalent to short-wave high and low roughness time-history curves); among which the high and low roughness time-history curves of the US five-level spectrum, the US six-level spectrum, the German high interference spectrum, the German low interference spectrum and the high-speed rail spectrum are shown in Figure 5; the high and low roughness time-history curves of the rail science spectrum, the ISO 3095-2005 roughness spectrum and the ISO 3095-2013 roughness spectrum are shown in Figure 6.

步骤S214,将每个不平顺空间样本输入到车辆-轨道耦合垂向动力学模型中,得到每种轮轨不平顺谱分别对应的车轮振动加速度。Step S214: input each irregularity spatial sample into the vehicle-track coupled vertical dynamics model to obtain the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum.

步骤S216,计算每个车轮振动加速度的幅值与预先获取到的实际车轮振动加速度的幅值之间的差值,得到多个差值结果。Step S216, calculating the difference between the amplitude of each wheel vibration acceleration and the amplitude of the actual wheel vibration acceleration acquired in advance, and obtaining a plurality of difference results.

步骤S218,将多个差值结果中,数值最小的结果对应的车轮振动加速度,确定为目标车轮振动加速度。Step S218: The wheel vibration acceleration corresponding to the result with the smallest value among the multiple difference results is determined as the target wheel vibration acceleration.

步骤S220,将目标车轮振动加速度对应的轮轨不平顺谱确定为目标轮轨不平顺谱。Step S220: determining the wheel-rail irregularity spectrum corresponding to the target wheel vibration acceleration as the target wheel-rail irregularity spectrum.

具体实现时,分别将不同的不平顺空间样本输入到车辆-轨道耦合动力学模型中,试算长波+不同短波的不平顺谱激励下的车轮振动加速度,将试算得到的车轮振动加速度幅值与实测车轮振动加速度的幅值进行对比,选取与实测车轮振动加速度对照最好(最贴合)的一组长波+短波不平顺谱,该组长波+短波不平顺谱即为最符合实际线路的轮轨不平顺谱(相当于上述目标轮轨不平顺谱)。In specific implementation, different irregularity spatial samples are respectively input into the vehicle-track coupled dynamics model, and the wheel vibration acceleration under the excitation of long-wave + different short-wave irregularity spectra is calculated. The calculated wheel vibration acceleration amplitude is compared with the amplitude of the measured wheel vibration acceleration, and a group of long-wave + short-wave irregularity spectra that best matches (closest to) the measured wheel vibration acceleration is selected. This group of long-wave + short-wave irregularity spectra is the wheel-rail irregularity spectrum that best conforms to the actual line (equivalent to the above-mentioned target wheel-rail irregularity spectrum).

为了更好的理解上述实施例,下面仍以设计速度80km/h的地铁线路为例,按照上述目标轮轨不平顺的选取方法选取目标轮轨不平顺谱,计算环境振动源强。In order to better understand the above embodiment, a subway line with a design speed of 80 km/h is still taken as an example below. The target wheel-rail irregularity spectrum is selected according to the above method for selecting the target wheel-rail irregularity, and the environmental vibration source intensity is calculated.

由上述表7可知,可以选取德国低干扰谱作为设计速度80km/h的地铁线路的目标长波不平顺谱。目前国内外常用的短波谱为中国铁科谱和ISO 3095-2013粗糙度谱,分别选取这两种短波谱与长波德国低干扰谱生成完整的轮轨不平顺谱(表8中工况2和3),并生成一组短波不平顺谱极其良好的轮轨不平顺谱(表8中工况1)。为了证明车轮振动加速度主要由短波不平顺谱决定,再加一组长波为美国五级谱,短波为铁科谱的轮轨不平顺谱 (表8中工况4)。所有工况如表8所示:It can be seen from Table 7 above that the German low-interference spectrum can be selected as the target long-wave unevenness spectrum for subway lines with a design speed of 80 km/h. The short-wave spectra commonly used at home and abroad are the China Railway Science Spectrum and the ISO 3095-2013 roughness spectrum. These two short-wave spectra and the long-wave German low-interference spectrum are selected to generate a complete wheel-rail unevenness spectrum (working conditions 2 and 3 in Table 8), and a set of wheel-rail unevenness spectra with extremely good short-wave unevenness spectra are generated (working condition 1 in Table 8). In order to prove that the wheel vibration acceleration is mainly determined by the short-wave unevenness spectrum, another set of wheel-rail unevenness spectra with long waves as the US five-level spectrum and short waves as the Railway Science spectrum is added (working condition 4 in Table 8). All working conditions are shown in Table 8:

表8不平顺工况设置Table 8 Unsmooth working condition settings

工况Working conditions 长波不平顺Long wave is not smooth 短波不平顺Shortwave is not smooth 11 德国低干扰谱German low interference spectrum 0.01ISO 3095-2013(几乎没有短波)0.01ISO 3095-2013 (almost no shortwave) 22 德国低干扰谱German low interference spectrum ISO 3095-2013粗糙度谱ISO 3095-2013 Roughness Spectrum 33 德国低干扰谱German low interference spectrum 铁科谱Iron Science 44 美国五级谱American Five-Level Spectrum 铁科谱 Iron Science

不同轮轨不平顺谱(表8中工况1、2、3和4)对应的仿真车轮垂向振动加速度如图7所示;不同轮轨不平顺谱对应的车轮垂向振动加速度幅值如表9所示:The simulated wheel vertical vibration acceleration corresponding to different wheel-rail irregularity spectra (conditions 1, 2, 3 and 4 in Table 8) is shown in Figure 7; the wheel vertical vibration acceleration amplitude corresponding to different wheel-rail irregularity spectra is shown in Table 9:

表9不同不平顺对应的车轮垂向振动加速度幅值Table 9 Amplitude of wheel vertical vibration acceleration corresponding to different unevenness

工况Working conditions 轮轨不平顺(长波+短波)Wheel-rail unevenness (long wave + short wave) 车轮垂向振动加速度幅值Wheel vertical vibration acceleration amplitude 11 德国低干扰谱+0.01ISO 3095-2013粗糙度谱German low interference spectrum + 0.01ISO 3095-2013 roughness spectrum 2.6m/s2 2.6m/s 2 22 德国低干扰谱+ISO 3095-2013粗糙度谱German low interference spectrum + ISO 3095-2013 roughness spectrum 25.5m/s2 25.5m/s 2 33 德国低干扰谱+铁科谱German low interference spectrum + iron science spectrum 69.1m/s2 69.1m/s 2 44 美国五级谱+铁科谱American five-level spectrum + iron science spectrum 69.5m/s2 69.5m/s 2

根据表9中的结果可知,不同轮轨不平顺谱条件下的车轮垂向振动加速度主要由短波不平顺谱决定,在长波不平顺谱相同的情况下,不同短波不平顺会对车轮振动加速度造成较大影响。According to the results in Table 9, the wheel vertical vibration acceleration under different wheel-rail irregularity spectra is mainly determined by the short-wave irregularity spectra. When the long-wave irregularity spectra are the same, different short-wave irregularities will have a greater impact on the wheel vibration acceleration.

通过车辆-轨道耦合动力学计算,将现场实测到的车轮振动加速度峰值与数值计算得到的车轮振动加速度幅值(表9中工况2和3)进行对比,假设实测振动加速度幅值为40.5m/s2,则表9中工况2对应的车轮振动加速度幅值与该测振动加速度幅值的差值为15m/s2,表9中工况3对应的车轮振动加速度幅值与该测振动加速度幅值的差值为28.6m/s2,由于15m/s2 小于28.6m/s2,因此工况2对应的车轮振动加速度幅值为目标车轮振动加速度,该目标车轮振动加速度对应的轮轨不平顺谱德国低干扰谱+ISO 3095-2013粗糙度谱(目标轮轨不平顺谱)则为符合现场实际情况的轮轨不平顺谱。Through vehicle-track coupling dynamics calculation, the wheel vibration acceleration peak value measured on site is compared with the wheel vibration acceleration amplitude obtained by numerical calculation (working conditions 2 and 3 in Table 9). Assuming that the measured vibration acceleration amplitude is 40.5m/s2, the difference between the wheel vibration acceleration amplitude corresponding to working condition 2 in Table 9 and the measured vibration acceleration amplitude is 15m/s2, and the difference between the wheel vibration acceleration amplitude corresponding to working condition 3 in Table 9 and the measured vibration acceleration amplitude is 28.6m/s2. Since 15m/s2 is less than 28.6m/s2, the wheel vibration acceleration amplitude corresponding to working condition 2 is the target wheel vibration acceleration, and the wheel-rail unevenness spectrum corresponding to the target wheel vibration acceleration, the German low interference spectrum + ISO 3095-2013 roughness spectrum (target wheel-rail unevenness spectrum), is the wheel-rail unevenness spectrum that conforms to the actual situation on site.

步骤S222,基于多个拟合结果和车辆-轨道耦合垂向动力学模型,得到每种轮轨不平顺谱分别对应的轮轨力。Step S222: based on the multiple fitting results and the vehicle-track coupled vertical dynamics model, the wheel-rail forces corresponding to each wheel-rail irregularity spectrum are obtained.

步骤S224,将每个轮轨力作为激励输入到预先建立的轨道-隧道-土层耦合动力仿真分析模型中,得到每种轮轨不平顺谱分别对应的隧道壁振动源强。Step S224, input each wheel-rail force as an excitation into a pre-established track-tunnel-soil coupling dynamic simulation analysis model to obtain the tunnel wall vibration source intensity corresponding to each wheel-rail irregularity spectrum.

轮轨不平顺谱会对环境振动源强造成较大影响,如果选取不适当,将可能造成过高的减振投入或振动不达标的改造费用,在实际实现时,上述符合现场实际情况的轮轨不平顺谱(德国低干扰谱+ISO 3095-2013粗糙度谱)可以作为后续轮轨系统动力仿真所需的符合现场实际情况的轮轨不平顺谱,从而计算得到较小的隧道壁振动源强。The wheel-rail irregularity spectrum will have a great impact on the environmental vibration source intensity. If it is not selected properly, it may result in excessive vibration reduction investment or reconstruction costs that do not meet the vibration standards. In actual implementation, the wheel-rail irregularity spectrum (German low interference spectrum + ISO 3095-2013 roughness spectrum) that conforms to the actual situation on site can be used as the wheel-rail irregularity spectrum that conforms to the actual situation on site required for the subsequent wheel-rail system dynamic simulation, thereby calculating a smaller tunnel wall vibration source intensity.

具体的,将符合现场实际情况的轮轨不平顺谱(德国低干扰谱+ISO 3095-2013粗糙度谱)重新输入到车辆-轨道耦合动力学模型中,计算得到符合实际线路运行状态的轮轨系统动力学响应(相当于上述轮轨力),将所述轮轨系统动力学响应输入到预先建立的轨道-隧道-土层耦合动力仿真分析模型中获取对应的隧道壁振动源强,该隧道壁振动源强的值较小,因此,具有良好的减震效果。Specifically, the wheel-rail irregularity spectrum (German low interference spectrum + ISO 3095-2013 roughness spectrum) that meets the actual on-site conditions is re-input into the vehicle-track coupling dynamics model, and the wheel-rail system dynamic response (equivalent to the above-mentioned wheel-rail force) that meets the actual line operation state is calculated. The wheel-rail system dynamic response is input into the pre-established track-tunnel-soil coupling dynamic simulation analysis model to obtain the corresponding tunnel wall vibration source strength. The tunnel wall vibration source strength has a small value, and therefore has a good shock absorption effect.

下面根据某线路隧道结构以及线路所在地区的地层资料,采用有限元仿真软件ABAQUS建立了轨道-隧道-土层耦合动力仿真分析模型,分别将不同的不平顺空间样本输入到车辆-轨道耦合动力学模型中,试算长波+ 不同短波的不平顺谱激励下的轮轨力,将试算得到的轮轨力作为激励输入到ABAQUS有限元模型(相当于上述轨道-隧道-土层耦合动力仿真分析模型)中进行仿真,从而模拟隧道壁振动源强(隧道壁振动加速度)。表10 给出了轨道-隧道-土层耦合动力仿真分析模型的尺寸和材料参数。在计算列车引起的环境振动预测分析中,土层参数对计算结果的影响也十分重要。本申请可以根据该线路所在地区的地勘资料,设置有限元模型中各土层的参数,如表11所示:Based on the tunnel structure of a certain line and the stratigraphic data of the area where the line is located, the finite element simulation software ABAQUS is used to establish a track-tunnel-soil coupling dynamic simulation analysis model. Different uneven spatial samples are input into the vehicle-track coupling dynamic model, and the wheel-rail force under the excitation of the long wave + different short wave uneven spectrum is calculated. The calculated wheel-rail force is input as excitation into the ABAQUS finite element model (equivalent to the above-mentioned track-tunnel-soil coupling dynamic simulation analysis model) for simulation, thereby simulating the tunnel wall vibration source strength (tunnel wall vibration acceleration). Table 10 gives the dimensions and material parameters of the track-tunnel-soil coupling dynamic simulation analysis model. In the prediction and analysis of environmental vibration caused by trains, the influence of soil parameters on the calculation results is also very important. This application can set the parameters of each soil layer in the finite element model according to the geological survey data of the area where the line is located, as shown in Table 11:

表10 ABAQUS有限元模型仿真参数Table 10 ABAQUS finite element model simulation parameters

项目project 类型type 主要参数Main parameters 道床类型Track bed type 双块式无砟轨道Double-block ballastless track C40混凝土C40 Concrete 隧道管片Tunnel Segments C50C50 管片厚度300mmSegment thickness 300mm 隧道半径Tunnel radius 内径2.8m,外径3.1mInner diameter 2.8m, outer diameter 3.1m 隧道埋深Tunnel depth 18m 18m

表11该地铁线路地层分布参数Table 11 Strata distribution parameters of the subway line

Figure BDA0003728691100000161
Figure BDA0003728691100000161

实际实现时,为避免荷载激励(相当于上述轮轨力)引起的弹性波将在该模型边界产生反射现象,在远离隧道的两侧采用无限元边界,土层上表面为自由边界,底面为固定边界,如图8轨道-隧道-土体ABAQUS有限元模型(相当于上述轨道-隧道-土层耦合动力仿真分析模型)所示。该轨道-隧道-土层耦合有限元模型采用了车辆-轨道耦合动力学模型中计算得到的轮轨力时程结果来模拟列车运营时引起隧道壁的振动。根据《环境影响评价技术导则城市轨道交通》(HJ 453-2018)的要求(隧道壁振动源强测点应高于轨顶面1.25m±0.25m),本仿真按照该规范选取观察点。In actual implementation, in order to avoid the reflection of elastic waves caused by load excitation (equivalent to the above wheel-rail force) on the model boundary, infinite element boundaries are used on both sides away from the tunnel, with the upper surface of the soil layer as a free boundary and the bottom surface as a fixed boundary, as shown in Figure 8 Track-tunnel-soil ABAQUS finite element model (equivalent to the above track-tunnel-soil coupled dynamic simulation analysis model). The track-tunnel-soil coupled finite element model uses the wheel-rail force time history results calculated in the vehicle-track coupled dynamic model to simulate the vibration of the tunnel wall caused by the train operation. According to the requirements of the "Technical Guidelines for Environmental Impact Assessment of Urban Rail Transit" (HJ 453-2018) (the tunnel wall vibration source strength measurement point should be 1.25m±0.25m above the rail top surface), this simulation selects observation points according to this specification.

当列车运行速度为80km/h时,通过仿真计算,得到不同轮轨不平顺谱作用下的隧道壁振动源强,其分频振级如图9所示:When the train runs at a speed of 80 km/h, the tunnel wall vibration source intensity under the action of different wheel-rail irregularity spectra is obtained through simulation calculation, and its frequency division vibration level is shown in Figure 9:

根据图9可知,长波不平顺相同时,隧道壁振动分频振级在低频处差异不大,但不同的短波不平顺会导致10Hz以上频段的振级差异较大,不同轮轨不平顺谱作用下的隧道壁振动源强如表12所示:According to Figure 9, when the long-wave irregularities are the same, the vibration levels of the tunnel wall at low frequencies are not much different, but different short-wave irregularities will lead to large differences in the vibration levels above 10 Hz. The tunnel wall vibration source strength under different wheel-rail irregularity spectra is shown in Table 12:

表12不同短波不平顺作用下的隧道壁振动源强Table 12 Tunnel wall vibration source strength under different short-wave irregularities

Figure BDA0003728691100000171
Figure BDA0003728691100000171

根据表12可以看出,不同短波不平顺谱引起的隧道壁振动源强的差异较大,这是由于隧道壁振动加速度的主频出现在50~80Hz,这段频率下的振动由短波不平顺决定,故短波不平顺直接决定了隧道壁振动源强的大小。相同长波不平顺条件下,不同短波不平顺引起的隧道壁振动源强相差 9~24dB,接近2~4个减振等级,这对减振设计成本影响很大。According to Table 12, it can be seen that the tunnel wall vibration source strength caused by different short-wave unevenness spectra is quite different. This is because the main frequency of the tunnel wall vibration acceleration appears in 50-80Hz. The vibration in this frequency range is determined by the short-wave unevenness, so the short-wave unevenness directly determines the size of the tunnel wall vibration source strength. Under the same long-wave unevenness conditions, the tunnel wall vibration source strength caused by different short-wave unevenness differs by 9-24dB, which is close to 2-4 vibration reduction levels, which has a great impact on the vibration reduction design cost.

综上所述,轮轨不平顺谱的选取直接影响了车辆,轨道,甚至隧道的振动,只有依据线路运营状态合理地选取轮轨动力学系统中的轮轨不平顺谱,才能准确地预测轮轨系统动力响应,准确评价乘客舒适性,科学评估结构疲劳伤损,精准预测环境振动噪声,给出经济的治理措施等。In summary, the selection of wheel-rail irregularity spectrum directly affects the vibration of vehicles, tracks, and even tunnels. Only by reasonably selecting the wheel-rail irregularity spectrum in the wheel-rail dynamics system according to the line operation status can we accurately predict the dynamic response of the wheel-rail system, accurately evaluate passenger comfort, scientifically assess structural fatigue damage, accurately predict environmental vibration and noise, and provide economical control measures.

上述轮轨系统动力仿真的目标轮轨不平顺谱选取方法,首先计算多种长波不平顺谱的TQ管理值,通过与《普速铁路线路修理规则》(GW 102-2019)中不同设计速度级下的TQI管理值对比,选取与实际线路养护维修运营状态较为贴合的长波不平顺谱,这种选取长波不平顺谱的方式,符合实际线路的养护维修管理规范,与实际线路状态的契合度较高。The target wheel-rail irregularity spectrum selection method for the above-mentioned wheel-rail system dynamic simulation first calculates the TQ management values of various long-wave irregularity spectra, and then selects the long-wave irregularity spectrum that is more in line with the actual line maintenance and operation status by comparing them with the TQI management values at different design speed levels in the "Rules for Repair of Conventional Railway Lines" (GW 102-2019). This method of selecting the long-wave irregularity spectrum conforms to the maintenance and management specifications of the actual line and has a high degree of fit with the actual line status.

鉴于我国目前没有短波不平顺谱的管理规范,且短波不平顺谱的实测较为耗时耗力,上述轮轨系统动力仿真的目标轮轨不平顺谱选取方法通过在确定好合理的长波不平顺谱后,分别选取不同的短波不平顺谱与长波拟合成多条不平顺功率谱密度曲线,经过傅里叶变换生成随线路里程变化的不平顺空间样本,分别将不同的不平顺空间样本输入到车辆-轨道耦合动力学模型中,试算长波+不同短波的不平顺谱激励下的车轮振动加速度,将试算得到的车轮振动加速度幅值与实测车轮振动加速度幅值进行对比,以此为依据确定轮轨不平顺谱,选取与车轮振动加速度幅值最为相近的一组轮轨不平顺谱,该长波+短波的轮轨不平顺谱即为与实际线路运营状态匹配的轮轨不平顺谱,而与车轮振动加速度幅值最为相近的一组轮轨不平顺谱中的短波即为要选取的短波不平顺,这种通过计算已确定的长波+不同短波不平顺谱引起的车轮振动加速度,并与现场实测的车轮振动加速度对比,选择最接近工况的短波不平顺谱的方法既经济又便捷,选取的轮轨不平顺与现场轮轨不平顺谱状态有良好的匹配性,且省时省力。In view of the fact that there are currently no management regulations for short-wave unevenness spectra in my country, and the actual measurement of short-wave unevenness spectra is relatively time-consuming and labor-intensive, the target wheel-rail unevenness spectrum selection method for the dynamic simulation of the wheel-rail system is to select different short-wave unevenness spectra and long-wave fitting into multiple unevenness power spectrum density curves after determining a reasonable long-wave unevenness spectrum, generate unevenness space samples that vary with line mileage through Fourier transform, input different unevenness space samples into the vehicle-track coupling dynamic model, calculate the wheel vibration acceleration under the excitation of long-wave + different short-wave unevenness spectra, and compare the calculated wheel vibration acceleration amplitude with the measured wheel vibration acceleration amplitude. , based on this, the wheel-rail unevenness spectrum is determined, and a group of wheel-rail unevenness spectra closest to the wheel vibration acceleration amplitude is selected. The long-wave + short-wave wheel-rail unevenness spectrum is the wheel-rail unevenness spectrum that matches the actual line operation status, and the short-wave in the group of wheel-rail unevenness spectra closest to the wheel vibration acceleration amplitude is the short-wave unevenness to be selected. This method of calculating the wheel vibration acceleration caused by the determined long-wave + different short-wave unevenness spectra and comparing it with the wheel vibration acceleration measured on site to select the short-wave unevenness spectrum closest to the working condition is both economical and convenient, the selected wheel-rail unevenness has a good match with the on-site wheel-rail unevenness spectrum status, and saves time and effort.

上述轮轨系统动力仿真的轮轨不平顺谱选取方法,在确定好符合实际线路运营状态的长波不平顺谱和短波不平顺谱后,输入不平顺激励到车辆- 轨道耦合动力学模型中,计算得到符合实际线路运行状态的轮轨系统动力学响应。这种根据实际线路状态合理选取轮轨不平顺谱的方法,可以准确地预测轮轨接触响应。The wheel-rail irregularity spectrum selection method for the wheel-rail system dynamic simulation, after determining the long-wave irregularity spectrum and short-wave irregularity spectrum that meet the actual line operation status, inputs the irregularity excitation into the vehicle-track coupling dynamic model, and calculates the wheel-rail system dynamic response that meets the actual line operation status. This method of reasonably selecting the wheel-rail irregularity spectrum according to the actual line status can accurately predict the wheel-rail contact response.

本发明实施例还提供了一种轮轨系统动力仿真的目标轮轨不平顺谱选取装置,如图10所示,装置包括:模型建立模块30,用于基于预设的车辆参数和轨道参数,建立车辆-轨道耦合垂向动力学模型;选取模块31,用于按照预设的标准轨道质量指数管理值,从预先获取到的多种长波不平顺谱中,选取目标长波不平顺谱;拟合模块32,用于将目标长波不平顺谱分别与预设的多种短波不平顺谱进行拟合,得到多个拟合结果;获取模块33,用于基于多个拟合结果和车辆-轨道耦合垂向动力学模型,得到每种轮轨不平顺谱分别对应的车轮振动加速度;其中,每种短波不平顺谱分别与所述目标长波不平顺谱组合,得到每种轮轨不平顺谱;确定模块34,用于基于多个车轮振动加速度,确定目标轮轨不平顺谱。The embodiment of the present invention further provides a device for selecting a target wheel-rail irregularity spectrum for dynamic simulation of a wheel-rail system, as shown in FIG10 , the device comprising: a model building module 30, for building a vehicle-rail coupled vertical dynamics model based on preset vehicle parameters and track parameters; a selection module 31, for selecting a target long-wave irregularity spectrum from a plurality of pre-acquired long-wave irregularity spectra according to a preset standard track quality index management value; a fitting module 32, for fitting the target long-wave irregularity spectrum with a plurality of preset short-wave irregularity spectra, respectively, to obtain a plurality of fitting results; an acquisition module 33, for obtaining the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum based on the plurality of fitting results and the vehicle-rail coupled vertical dynamics model; wherein each short-wave irregularity spectrum is respectively combined with the target long-wave irregularity spectrum to obtain each wheel-rail irregularity spectrum; and a determination module 34, for determining the target wheel-rail irregularity spectrum based on a plurality of wheel vibration accelerations.

上述轮轨系统动力仿真的目标轮轨不平顺谱选取装置,装置包括:基于预设的车辆参数和轨道参数,建立车辆-轨道耦合垂向动力学模型;按照预设的标准轨道质量指数管理值,从预先获取到的多种长波不平顺谱中,选取目标长波不平顺谱;将目标长波不平顺谱分别与预设的多种短波不平顺谱进行拟合,得到多个拟合结果;基于多个拟合结果和车辆-轨道耦合垂向动力学模型,得到每种轮轨不平顺谱分别对应的车轮振动加速度;基于多个车轮振动加速度,确定轮轨不平顺谱。该装置中,基于每种轮轨不平顺谱分别对应的车轮振动加速度,确定目标轮轨不平顺谱,可以根据实际线路状态合理选取轮轨不平顺谱,从而准确地预测轮轨接触响应。The above-mentioned target wheel-rail irregularity spectrum selection device for dynamic simulation of wheel-rail system comprises: establishing a vehicle-rail coupling vertical dynamics model based on preset vehicle parameters and track parameters; selecting a target long-wave irregularity spectrum from a plurality of long-wave irregularity spectra acquired in advance according to a preset standard track quality index management value; fitting the target long-wave irregularity spectrum with a plurality of preset short-wave irregularity spectra to obtain a plurality of fitting results; obtaining the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum based on the plurality of fitting results and the vehicle-rail coupling vertical dynamics model; and determining the wheel-rail irregularity spectrum based on the plurality of wheel vibration accelerations. In the device, the target wheel-rail irregularity spectrum is determined based on the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum, and the wheel-rail irregularity spectrum can be reasonably selected according to the actual line state, thereby accurately predicting the wheel-rail contact response.

进一步的,选取模块还用于:计算预先获取到的每种所述长波不平顺谱分别对应的轨道质量指数管理值;将每种轨道质量指数管理值与标准轨道质量指数管理值进行对比,得到多个第一对比结果;根据多个第一对比结果,从多种长波不平顺谱中,选取目标长波不平顺谱。Furthermore, the selection module is also used to: calculate the track quality index management values corresponding to each of the long-wave unevenness spectra acquired in advance; compare each track quality index management value with the standard track quality index management value to obtain multiple first comparison results; and select a target long-wave unevenness spectrum from a plurality of long-wave unevenness spectra based on the multiple first comparison results.

进一步的,每种长波不平顺谱分别对应的轨道质量指数管理值包括:左高低,右高低,左轨向,右轨向,轨距,水平,三角坑。Furthermore, the track quality index management values corresponding to each long-wave irregularity spectrum include: left high and low, right high and low, left track direction, right track direction, track gauge, level, and triangular pit.

进一步的,获取模块还用于:对每个拟合结果进行傅里叶变换,生成每个拟合结果分别对应的不平顺空间样本;将每个不平顺空间样本输入到车辆-轨道耦合垂向动力学模型中,得到每种轮轨不平顺谱分别对应的车轮振动加速度。Furthermore, the acquisition module is also used to: perform Fourier transform on each fitting result to generate a roughness space sample corresponding to each fitting result; input each roughness space sample into the vehicle-track coupled vertical dynamics model to obtain the wheel vibration acceleration corresponding to each wheel-rail roughness spectrum.

进一步的,确定模块还用于:计算每个车轮振动加速度的幅值与预先获取到的实际车轮振动加速度的幅值之间的差值,得到多个差值结果;将多个差值结果中,数值最小的结果对应的车轮振动加速度,确定为目标车轮振动加速度;将目标车轮振动加速度对应的轮轨不平顺谱确定为目标轮轨不平顺谱。Furthermore, the determination module is also used to: calculate the difference between the amplitude of each wheel vibration acceleration and the amplitude of the actual wheel vibration acceleration obtained in advance, and obtain multiple difference results; determine the wheel vibration acceleration corresponding to the result with the smallest value among the multiple difference results as the target wheel vibration acceleration; determine the wheel-rail irregularity spectrum corresponding to the target wheel vibration acceleration as the target wheel-rail irregularity spectrum.

进一步的,装置还包括:基于多个拟合结果和车辆-轨道耦合垂向动力学模型,得到每种轮轨不平顺谱分别对应的轮轨力;将每个轮轨力作为激励输入到预先建立的轨道-隧道-土层耦合动力仿真分析模型中,得到每种轮轨不平顺谱分别对应的隧道壁振动源强。Furthermore, the device also includes: obtaining the wheel-rail force corresponding to each wheel-rail irregularity spectrum based on multiple fitting results and the vehicle-track coupled vertical dynamics model; inputting each wheel-rail force as an excitation into a pre-established track-tunnel-soil coupling dynamic simulation analysis model to obtain the tunnel wall vibration source intensity corresponding to each wheel-rail irregularity spectrum.

进一步的,车辆-轨道耦合垂向动力学模型包括:车辆垂向模型和轨道模型;其中,车辆垂向模型为将车辆模拟为具有二系悬挂的半车系统的模型;轨道模型采用长枕埋入式整体道床模拟。Furthermore, the vehicle-track coupled vertical dynamics model includes: a vehicle vertical model and a track model; wherein the vehicle vertical model simulates the vehicle as a half-vehicle system with a secondary suspension; and the track model is simulated using a long-pillow embedded integral ballast bed.

本发明实施例所提供的轮轨系统动力仿真的目标轮轨不平顺谱选取装置,其实现原理及产生的技术效果和前述轮轨系统动力仿真的目标轮轨不平顺谱选取方法实施例相同,轮轨系统动力仿真的目标轮轨不平顺谱选取装置实施例部分,可参考前述轮轨系统动力仿真的目标轮轨不平顺谱选取装置方法实施例中相应内容。The target wheel-rail irregularity spectrum selection device for wheel-rail system dynamic simulation provided in the embodiment of the present invention has the same implementation principle and technical effects as those of the target wheel-rail irregularity spectrum selection method embodiment for the aforementioned wheel-rail system dynamic simulation. For the embodiment of the target wheel-rail irregularity spectrum selection device for wheel-rail system dynamic simulation, reference may be made to the corresponding contents in the embodiment of the target wheel-rail irregularity spectrum selection method for the aforementioned wheel-rail system dynamic simulation.

本发明实施例还提供了一种电子设备,参见图11所示,该电子设备包括处理器130和存储器131,该存储器131存储有能够被处理器130执行的机器可执行指令,该处理器130执行机器可执行指令以实现上述轮轨系统动力仿真的目标轮轨不平顺谱选取方法。An embodiment of the present invention also provides an electronic device, as shown in Figure 11, the electronic device includes a processor 130 and a memory 131, the memory 131 stores machine executable instructions that can be executed by the processor 130, and the processor 130 executes the machine executable instructions to implement the target wheel-rail irregularity spectrum selection method for the above-mentioned wheel-rail system dynamic simulation.

进一步地,图11所示的电子设备还包括总线132和通信接口133,处理器130、通信接口133和存储器131通过总线132连接。Furthermore, the electronic device shown in FIG. 11 further includes a bus 132 and a communication interface 133 , and the processor 130 , the communication interface 133 and the memory 131 are connected via the bus 132 .

其中,存储器131可能包含高速随机存取存储器(RAM,Random Access Memory),也可能还包括非不稳定的存储器(non-volatile memory),例如至少一个磁盘存储器。通过至少一个通信接口133(可以是有线或者无线) 实现该系统网元与至少一个其他网元之间的通信连接,可以使用互联网,广域网,本地网,城域网等。总线132可以是ISA总线、PCI总线或EISA 总线等。所述总线可以分为地址总线、数据总线、控制总线等。为便于表示,图11中仅用一个双向箭头表示,但并不表示仅有一根总线或一种类型的总线。Among them, the memory 131 may include a high-speed random access memory (RAM), and may also include a non-volatile memory (non-volatile memory), such as at least one disk storage. The communication connection between the system network element and at least one other network element is realized through at least one communication interface 133 (which can be wired or wireless), and the Internet, wide area network, local area network, metropolitan area network, etc. can be used. The bus 132 can be an ISA bus, a PCI bus or an EISA bus, etc. The bus can be divided into an address bus, a data bus, a control bus, etc. For ease of representation, only one bidirectional arrow is used in Figure 11, but it does not mean that there is only one bus or one type of bus.

处理器130可能是一种集成电路芯片,具有信号的处理能力。在实现过程中,上述方法的各步骤可以通过处理器130中的硬件的集成逻辑电路或者软件形式的指令完成。上述的处理器130可以是通用处理器,包括中央处理器(Central Processing Unit,简称CPU)、网络处理器(Network Processor,简称NP)等;还可以是数字信号处理器(DigitalSignal Processor,简称DSP)、专用集成电路(Application Specific IntegratedCircuit,简称 ASIC)、现场可编程门阵列(Field-Programmable Gate Array,简称FPGA)或者其他可编程逻辑器件、分立门或者晶体管逻辑器件、分立硬件组件。可以实现或者执行本发明实施例中的公开的各方法、步骤及逻辑框图。通用处理器可以是微处理器或者该处理器也可以是任何常规的处理器等。结合本发明实施例所公开的方法的步骤可以直接体现为硬件译码处理器执行完成,或者用译码处理器中的硬件及软件模块组合执行完成。软件模块可以位于随机存储器,闪存、只读存储器,可编程只读存储器或者电可擦写可编程存储器、寄存器等本领域成熟的存储介质中。该存储介质位于存储器 131,处理器130读取存储器131中的信息,结合其硬件完成前述实施例的方法的步骤。The processor 130 may be an integrated circuit chip with signal processing capabilities. In the implementation process, each step of the above method can be completed by the hardware integrated logic circuit or software instructions in the processor 130. The above processor 130 can be a general-purpose processor, including a central processing unit (CPU), a network processor (NP), etc.; it can also be a digital signal processor (DSP), an application-specific integrated circuit (ASIC), a field-programmable gate array (FPGA) or other programmable logic devices, discrete gates or transistor logic devices, discrete hardware components. The methods, steps and logic block diagrams disclosed in the embodiments of the present invention can be implemented or executed. The general-purpose processor can be a microprocessor or the processor can also be any conventional processor, etc. The steps of the method disclosed in conjunction with the embodiments of the present invention can be directly embodied as a hardware decoding processor for execution, or a combination of hardware and software modules in the decoding processor for execution. The software module may be located in a storage medium mature in the art, such as a random access memory, a flash memory, a read-only memory, a programmable read-only memory, or an electrically erasable programmable memory, a register, etc. The storage medium is located in the memory 131, and the processor 130 reads the information in the memory 131 and completes the steps of the method of the aforementioned embodiment in combination with its hardware.

本发明实施例还提供了一种计算机可读存储介质,该计算机可读存储介质存储有计算机可执行指令,该计算机可执行指令在被处理器调用和执行时,该计算机可执行指令促使处理器实现上述轮轨系统动力仿真的目标轮轨不平顺谱选取方法,具体实现可参见方法实施例,在此不再赘述。An embodiment of the present invention further provides a computer-readable storage medium storing computer-executable instructions. When the computer-executable instructions are called and executed by a processor, the computer-executable instructions prompt the processor to implement the target wheel-rail irregularity spectrum selection method for dynamic simulation of the wheel-rail system. The specific implementation can be found in the method embodiment and will not be repeated here.

本发明实施例所提供的轮轨系统动力仿真的目标轮轨不平顺谱选取装置方法和装置,包括存储了程序代码的计算机可读存储介质,所述程序代码包括的指令可用于执行前面方法实施例中所述的方法,具体实现可参见方法实施例,在此不再赘述。The target wheel-rail irregularity spectrum selection device method and device for dynamic simulation of a wheel-rail system provided in an embodiment of the present invention include a computer-readable storage medium storing program code, and the instructions included in the program code can be used to execute the method described in the previous method embodiment. The specific implementation can be found in the method embodiment, which will not be repeated here.

所述功能如果以软件功能单元的形式实现并作为独立的产品销售或使用时,可以存储在一个计算机可读取存储介质中。基于这样的理解,本发明的技术方案本质上或者说对现有技术做出贡献的部分或者该技术方案的部分可以以软件产品的形式体现出来,该计算机软件产品存储在一个存储介质中,包括若干指令用以使得一台计算机设备(可以是个人计算机,服务器,或者网络设备等)执行本发明各个实施例所述方法的全部或部分步骤。而前述的存储介质包括:U盘、移动硬盘、只读存储器(ROM,Read-Only Memory)、随机存取存储器(RAM,Random Access Memory)、磁碟或者光盘等各种可以存储程序代码的介质。If the functions are implemented in the form of software functional units and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, or the part that contributes to the prior art or the part of the technical solution, can be embodied in the form of a software product. The computer software product is stored in a storage medium, including several instructions for enabling a computer device (which can be a personal computer, a server, or a network device, etc.) to perform all or part of the steps of the methods described in each embodiment of the present invention. The aforementioned storage medium includes: various media that can store program codes, such as a USB flash drive, a mobile hard disk, a read-only memory (ROM), a random access memory (RAM), a magnetic disk or an optical disk.

最后应说明的是:以上各实施例仅用以说明本发明的技术方案,而非对其限制;尽管参照前述各实施例对本发明进行了详细的说明,本领域的普通技术人员应当理解:其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分或者全部技术特征进行等同替换;而这些修改或者替换,并不使相应技术方案的本质脱离本发明各实施例技术方案的范围。Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit it. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or replace some or all of the technical features therein by equivalents. However, these modifications or replacements do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present invention.

Claims (10)

1.一种轮轨系统动力仿真的目标轮轨不平顺谱选取方法,其特征在于,所述方法包括:1. A method for selecting a target wheel-rail irregularity spectrum for dynamic simulation of a wheel-rail system, characterized in that the method comprises: 基于预设的车辆参数和轨道参数,建立车辆-轨道耦合垂向动力学模型;Based on the preset vehicle parameters and track parameters, a vehicle-track coupled vertical dynamics model is established; 按照预设的标准轨道质量指数管理值,从预先获取到的多种长波不平顺谱中,选取目标长波不平顺谱;According to the preset standard track quality index management value, a target long-wave irregularity spectrum is selected from a plurality of long-wave irregularity spectra acquired in advance; 将所述目标长波不平顺谱分别与预设的多种短波不平顺谱进行拟合,得到多个拟合结果;Fitting the target long-wave roughness spectrum with a plurality of preset short-wave roughness spectra to obtain a plurality of fitting results; 基于多个所述拟合结果和所述车辆-轨道耦合垂向动力学模型,得到每种轮轨不平顺谱分别对应的车轮振动加速度;其中,每种短波不平顺谱分别与所述目标长波不平顺谱组合,得到每种轮轨不平顺谱;Based on the plurality of fitting results and the vehicle-track coupled vertical dynamics model, the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum is obtained; wherein each short-wave irregularity spectrum is combined with the target long-wave irregularity spectrum to obtain each wheel-rail irregularity spectrum; 基于多个所述车轮振动加速度,确定目标轮轨不平顺谱。Based on the plurality of wheel vibration accelerations, a target wheel-rail irregularity spectrum is determined. 2.根据权利要求1所述的方法,其特征在于,所述按照预设的标准轨道质量指数管理值,从预先获取到的多种长波不平顺谱中,选取目标长波不平顺谱的步骤包括:2. The method according to claim 1, characterized in that the step of selecting a target long-wave roughness spectrum from a plurality of long-wave roughness spectra acquired in advance according to a preset standard track quality index management value comprises: 计算预先获取到的每种所述长波不平顺谱分别对应的轨道质量指数管理值;Calculating the track quality index management value corresponding to each of the long-wave irregularity spectra acquired in advance; 将每种所述轨道质量指数管理值与所述标准轨道质量指数管理值进行对比,得到多个第一对比结果;Comparing each of the track quality index management values with the standard track quality index management value to obtain a plurality of first comparison results; 根据多个所述第一对比结果,从多种所述长波不平顺谱中,选取所述目标长波不平顺谱。The target long-wave roughness spectrum is selected from a plurality of the long-wave roughness spectra according to the plurality of the first comparison results. 3.根据权利要求2所述的方法,其特征在于,每种所述长波不平顺谱分别对应的轨道质量指数管理值包括:左高低,右高低,左轨向,右轨向,轨距,水平,三角坑。3. The method according to claim 2 is characterized in that the track quality index management values corresponding to each of the long-wave irregularity spectra include: left high and low, right high and low, left track direction, right track direction, track gauge, level, and triangular pit. 4.根据权利要求1所述的方法,其特征在于,所述基于多个所述拟合结果和所述车辆-轨道耦合垂向动力学模型,得到每种轮轨不平顺谱分别对应的车轮振动加速度的步骤包括:4. The method according to claim 1, characterized in that the step of obtaining the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum based on the plurality of fitting results and the vehicle-track coupled vertical dynamics model comprises: 对每个所述拟合结果进行傅里叶变换,生成每个所述拟合结果分别对应的不平顺空间样本;Performing Fourier transform on each of the fitting results to generate an uneven space sample corresponding to each of the fitting results; 将每个所述不平顺空间样本输入到所述车辆-轨道耦合垂向动力学模型中,得到每种轮轨不平顺谱分别对应的车轮振动加速度。Each of the irregularity spatial samples is input into the vehicle-track coupled vertical dynamics model to obtain the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum. 5.根据权利要求1所述的方法,其特征在于,所述基于多个所述车轮振动加速度,确定目标轮轨不平顺谱的步骤包括:5. The method according to claim 1, characterized in that the step of determining the target wheel-rail irregularity spectrum based on the plurality of wheel vibration accelerations comprises: 计算每个所述车轮振动加速度的幅值与预先获取到的实际车轮振动加速度的幅值之间的差值,得到多个差值结果;Calculating the difference between the amplitude of each wheel vibration acceleration and the amplitude of the actual wheel vibration acceleration acquired in advance to obtain a plurality of difference results; 将多个所述差值结果中,数值最小的结果对应的车轮振动加速度,确定为目标车轮振动加速度;Determine the wheel vibration acceleration corresponding to the result with the smallest value among the plurality of difference results as the target wheel vibration acceleration; 将所述目标车轮振动加速度对应的轮轨不平顺谱确定为所述目标轮轨不平顺谱。The wheel-rail irregularity spectrum corresponding to the target wheel vibration acceleration is determined as the target wheel-rail irregularity spectrum. 6.根据权利要求1所述的方法,其特征在于,所述方法还包括:6. The method according to claim 1, characterized in that the method further comprises: 基于多个所述拟合结果和所述车辆-轨道耦合垂向动力学模型,得到每种轮轨不平顺谱分别对应的轮轨力;Based on the plurality of fitting results and the vehicle-track coupled vertical dynamics model, the wheel-rail force corresponding to each wheel-rail irregularity spectrum is obtained; 将每个所述轮轨力作为激励输入到预先建立的轨道-隧道-土层耦合动力仿真分析模型中,得到每种轮轨不平顺谱分别对应的隧道壁振动源强。Each of the wheel-rail forces is input as an excitation into a pre-established track-tunnel-soil coupling dynamic simulation analysis model to obtain the tunnel wall vibration source intensity corresponding to each wheel-rail irregularity spectrum. 7.根据权利要求1所述的方法,其特征在于,所述车辆-轨道耦合垂向动力学模型包括:车辆垂向模型和轨道模型;7. The method according to claim 1, characterized in that the vehicle-track coupled vertical dynamics model comprises: a vehicle vertical model and a track model; 其中,所述车辆垂向模型为将车辆模拟为具有二系悬挂的半车系统的模型;所述轨道模型采用长枕埋入式整体道床模拟。Among them, the vehicle vertical model is a model that simulates the vehicle as a half-vehicle system with a secondary suspension; the track model is simulated by a long-pillow embedded integral roadbed. 8.一种轮轨系统动力仿真的目标轮轨不平顺谱选取装置,其特征在于,所述装置包括:8. A device for selecting target wheel-rail irregularity spectrum for dynamic simulation of wheel-rail system, characterized in that the device comprises: 模型建立模块,用于基于预设的车辆参数和轨道参数,建立车辆-轨道耦合垂向动力学模型;A model building module, used to build a vehicle-track coupled vertical dynamics model based on preset vehicle parameters and track parameters; 选取模块,用于按照预设的标准轨道质量指数管理值,从预先获取到的多种长波不平顺谱中,选取目标长波不平顺谱;A selection module is used to select a target long-wave irregularity spectrum from a plurality of long-wave irregularity spectra acquired in advance according to a preset standard track quality index management value; 拟合模块,用于将所述目标长波不平顺谱分别与预设的多种短波不平顺谱进行拟合,得到多个拟合结果;A fitting module, used for fitting the target long-wave roughness spectrum with a plurality of preset short-wave roughness spectra to obtain a plurality of fitting results; 获取模块,用于基于多个所述拟合结果和所述车辆-轨道耦合垂向动力学模型,得到每种轮轨不平顺谱分别对应的车轮振动加速度;其中,每种短波不平顺谱分别与所述目标长波不平顺谱组合,得到每种轮轨不平顺谱;An acquisition module is used to obtain the wheel vibration acceleration corresponding to each wheel-rail irregularity spectrum based on the plurality of fitting results and the vehicle-track coupled vertical dynamics model; wherein each short-wave irregularity spectrum is combined with the target long-wave irregularity spectrum to obtain each wheel-rail irregularity spectrum; 确定模块,用于基于多个所述车轮振动加速度,确定目标轮轨不平顺谱。The determination module is used to determine a target wheel-rail irregularity spectrum based on the plurality of wheel vibration accelerations. 9.一种电子设备,其特征在于,包括处理器和存储器,所述存储器存储有能够被所述处理器执行的机器可执行指令,所述处理器执行所述机器可执行指令以实现权利要求1-7任一项所述的轮轨系统动力仿真的目标轮轨不平顺谱选取方法。9. An electronic device, characterized in that it comprises a processor and a memory, wherein the memory stores machine executable instructions that can be executed by the processor, and the processor executes the machine executable instructions to implement the target wheel-rail irregularity spectrum selection method for wheel-rail system dynamic simulation according to any one of claims 1 to 7. 10.一种计算机可读存储介质,其特征在于,所述计算机可读存储介质存储有计算机可执行指令,所述计算机可执行指令在被处理器调用和执行时,所述计算机可执行指令促使所述处理器实现权利要求1-7任一项所述的轮轨系统动力仿真的目标轮轨不平顺谱选取方法。10. A computer-readable storage medium, characterized in that the computer-readable storage medium stores computer-executable instructions, and when the computer-executable instructions are called and executed by a processor, the computer-executable instructions prompt the processor to implement the target wheel-rail irregularity spectrum selection method for wheel-rail system dynamic simulation according to any one of claims 1 to 7.
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