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CN110516393A - A Design Method for Wheel Tread Profile of Variable Gauge Bogie - Google Patents

A Design Method for Wheel Tread Profile of Variable Gauge Bogie Download PDF

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CN110516393A
CN110516393A CN201910823569.0A CN201910823569A CN110516393A CN 110516393 A CN110516393 A CN 110516393A CN 201910823569 A CN201910823569 A CN 201910823569A CN 110516393 A CN110516393 A CN 110516393A
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wheel
profile
rail
wheel tread
tread
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CN110516393B (en
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干锋
戴焕云
曾京
邬平波
高�浩
石怀龙
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Southwest Jiaotong University
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Abstract

The invention discloses a kind of gauge-changeable bogie wheel tread profile design methods.The present invention uses multi-level optimization cyclic design method, the gauge-changeable bogie wheel tread profile that can be designed while be suitable under different gauges and different rail cants.The wheel tread profile designed, while guaranteeing initial Equivalent conicity design object, additionally it is possible to good wheel rail geometry parametric sensitivity and the dynamics of vehicle performance met the requirements of the standard.

Description

一种变轨距转向架车轮踏面廓形设计方法A Design Method for Wheel Tread Profile of Variable Gauge Bogie

技术领域technical field

本申请涉及铁路轨道技术领域,具体涉及一种变轨距转向架车轮踏面廓形设计方法。The present application relates to the field of railway track technology, in particular to a method for designing the profile of a wheel tread of a variable-gauge bogie.

背景技术Background technique

与中国丝绸之路经济带密切相关的国家之间的铁路轨距存在较大差异,其中欧洲大部分国家、土耳其、伊朗以及中国为标准轨距1435mm;俄罗斯以及其他前苏联国家采用的是轨距为1520mm的宽轨;孟加拉国、巴基斯坦、印度等南亚国家多数采用1676mm的宽轨;东南亚地区的缅甸、越南等国则多数采用轨距为1000mm的窄轨。There are large differences in railway gauge between countries closely related to China's Silk Road Economic Belt. Among them, most European countries, Turkey, Iran and China have a standard gauge of 1435mm; Russia and other former Soviet countries use a gauge of 1435mm. The wide gauge is 1520mm; Bangladesh, Pakistan, India and other South Asian countries mostly use 1676mm wide gauge; most Southeast Asian countries such as Myanmar and Vietnam use narrow gauge with a gauge of 1000mm.

为实现不同轨距轨道系统联运,可以采取统一轨距、转运、更换转向架、铁路驼背运输车和变轨距转向架等方案。变轨距转向架方案,即轮对的内侧距可以自行调整以适应不同轨距,完全避免了如转运、更换转向架等方案在车站花费大量换装时间的问题,同时也不需要像铁路驼背运输车那样需要借助其他运输设备,车辆只需经过地面变轨设施即可自行完成轮对内侧距调整,从而适应不同轨距。In order to realize intermodal transport of different gauge track systems, schemes such as unifying the gauge, transshipment, replacement of bogies, railway humpback transport vehicles and variable gauge bogies can be adopted. The variable-gauge bogie scheme, that is, the inner distance of the wheel set can be adjusted to suit different gauges, which completely avoids the problem of spending a lot of time at the station for transshipment, bogie replacement, etc., and does not need to be like a railway hump The transport vehicle needs to use other transportation equipment, and the vehicle can complete the adjustment of the inner distance of the wheel set by itself only through the ground track changing facility, so as to adapt to different gauges.

国外在20世纪60年代~90年代已经进行了大量的变轨距转向架应用研究。研发最早且最具代表性的是西班牙Talgo独立旋转车轮变轨距转向架,兼容西班牙宽轨1668mm与法国准轨1435mm。德国继西班牙之后于20世纪80年代研制出基于传统整体轮对形式的DBAG/Rafil V型货车变轨距转向架,波兰在20世纪90年代研制出基于传统整体轮对形式的SUW2000型客车变轨距转向架,俄罗斯研制了货运罐车变轨距转向架,用于兼容准轨1435mm和宽轨1520mm。日本于20世纪90年代研制出独立旋转车轮的E30型变轨距转向架,用于兼容准轨1435mm和窄轨1067mm。Abroad in the 1960s to 1990s has carried out a large number of variable gauge bogie application research. The earliest and most representative of the research and development is the Spanish Talgo variable gauge bogie with independent rotating wheels, which is compatible with the Spanish wide gauge 1668mm and the French standard gauge 1435mm. Following Spain, Germany developed the DBAG/Rafil V-type freight car variable gauge bogie based on the traditional integral wheel set in the 1980s, and Poland developed the SUW2000 passenger car track change based on the traditional integral wheel set in the 1990s. As for the bogie, Russia has developed a variable-gauge bogie for freight tank cars, which is compatible with standard gauge 1435mm and wide gauge 1520mm. In the 1990s, Japan developed the E30 variable gauge bogie with independent rotating wheels, which is compatible with standard gauge 1435mm and narrow gauge 1067mm.

中国在2000年后开始变轨距转向架技术相关研究,参考了西班牙Talgo变轨距转向架方案,设计了一种最高运营速度160km/h的客车变轨距转向架,用于准轨和宽轨间转换。我国科技部2016年重点专项已进行260km/h以上变轨距转向架技术研究和样机研制,覆盖多种轨距轨道系统。After 2000, China began research on variable-gauge bogie technology. Referring to the Spanish Talgo variable-gauge bogie scheme, a passenger car variable-gauge bogie with a maximum operating speed of 160km/h was designed, which is used for standard gauge and wide Transition between tracks. The 2016 key project of the Ministry of Science and Technology of my country has carried out technical research and prototype development of variable gauge bogies above 260km/h, covering various gauge track systems.

日本通过滚振试验研究了变轨距转向架的临界速度,左右侧车轮独立旋转时车辆临界速度达到450km/h以上,而两侧车轮耦合时车辆临界速度仅为150km/h,在1435mm和1067mm两种轨距条件下的结果基本相同。针对我国标准钢轨廓形CHN60及其打磨廓形60D和60N,钢轨廓形对轮轨接触几何关系、滚动接触行为和车辆动力学性能有显著影响,合理的轮轨型面匹配应从局部的轮轨接触关系和宏观的车辆动力学性能两方面综合评价。Japan has studied the critical speed of variable-gauge bogies through rolling vibration tests. When the left and right wheels rotate independently, the critical speed of the vehicle reaches more than 450km/h, while when the wheels on both sides are coupled, the critical speed of the vehicle is only 150km/h, at 1435mm and 1067mm The results under the two gauge conditions are basically the same. For my country's standard rail profile CHN60 and its polished profile 60D and 60N, the rail profile has a significant impact on the wheel-rail contact geometry, rolling contact behavior and vehicle dynamics performance, and a reasonable wheel-rail profile matching should start from the local wheel-rail profile Comprehensive evaluation of contact relationship and macroscopic vehicle dynamics performance.

针对我国主流的3种车轮踏面LM、LMA和S1002CN,轨距变化会带来轮轨接触关系和车辆运行安全性和平稳性的变化。LM和LMA踏面与标准钢轨CHN60匹配的轮轨接触关系和接触应力分布表明,1/20轨底坡时LM踏面优于LMA踏面,因为LM踏面常接触区近似锥形,对轨底坡适应性好,而LMA仅在1/40轨底坡情况下接触关系良好。For the three mainstream wheel treads LM, LMA and S1002CN in China, the change of the gauge will bring changes in the wheel-rail contact relationship and the safety and stability of the vehicle operation. The wheel-rail contact relationship and contact stress distribution of LM and LMA treads matched with standard rail CHN60 show that LM treads are better than LMA treads at 1/20 rail bottom slopes, because the constant contact area of LM treads is approximately conical and adaptable to rail bottom slopes Well, while the LMA only makes good contact with 1/40 of the rail bottom slope.

沈钢等研究根据轮径差、接触角和轨面外形为边界条件和设计目标,对车轮踏面廓形进行反向设计。干锋等给出一种根据轮轨初始接触点、轮径差和轨面外形的车轮踏面反向优化设计方法,并应用于低速踏面LM和高速踏面S1002CN的车轮踏面廓形设计中。目前,上述踏面反向设计方法仅针对一种轨距轨道系统展开,若针对两种轨距系统必须考虑踏面在两种轨距轨道系统的兼容性,需要设定更复杂的边界条件,得出的踏面廓形与原始廓形有一定的差异。可以采用优化算法设计适应两种轨距以上轨道系统的车轮踏面。Based on the wheel diameter difference, contact angle and rail surface shape as the boundary conditions and design objectives, Shen Gang et al. carried out reverse design of the wheel tread profile. Gan Feng et al. proposed a method of inverse optimal design of wheel treads based on the initial wheel-rail contact point, wheel diameter difference, and rail surface shape, and applied it to the wheel tread profile design of low-speed tread LM and high-speed tread S1002CN. At present, the above-mentioned tread reverse design method is only carried out for one gauge track system. If the compatibility of the tread surface in the two gauge track systems must be considered for two gauge systems, more complex boundary conditions need to be set. The profile of the tread differs somewhat from the original profile. An optimization algorithm can be used to design wheel treads suitable for track systems with more than two gauges.

因此现有研究并未掌握不同轨距轨道系统的轮轨接触关系特征,缺乏适应不同轨距轨道系统的车轮踏面设计方法或轮轨接触关系目标。Therefore, the existing research has not grasped the characteristics of the wheel-rail contact relationship of different gauge rail systems, and lacks the wheel tread design method or the wheel-rail contact relationship target for different gauge rail systems.

发明内容Contents of the invention

针对现有技术中的上述不足,本发明提供的一种变轨距转向架车轮踏面廓形设计方法解决了缺乏适应不同轨距轨道系统的车轮踏面设计方法的问题。Aiming at the above-mentioned shortcomings in the prior art, the invention provides a method for designing wheel tread profiles of variable gauge bogies, which solves the problem of lack of wheel tread design methods suitable for different gauge rail systems.

为了达到上述发明目的,本发明采用的技术方案为:一种变轨距转向架车轮踏面廓形设计方法,包括以下步骤:In order to achieve the above-mentioned purpose of the invention, the technical solution adopted in the present invention is: a method for designing the wheel tread profile of a variable-gauge bogie, comprising the following steps:

S1、设置轮轨的初始接触位置;S1. Set the initial contact position of the wheel and rail;

S2、选取轨面廓形,并将其轨底坡设置为1/20;S2, select the profile of the rail surface, and set its rail bottom slope to 1/20;

轨面廓形包括CHN60轨面廓形、60D轨面廓形、P65轨面廓形和60R2轨面廓形。The rail profile includes CHN60 rail profile, 60D rail profile, P65 rail profile and 60R2 rail profile.

S3、根据轮轨的初始接触位置和轨面廓形,通过车轮踏面反向优化设计算法计算车轮踏面设计参数,并根据车轮踏面设计参数得到车轮踏面廓形;S3. According to the initial contact position of the wheel-rail and the profile of the rail surface, calculate the design parameters of the wheel tread through the reverse optimization design algorithm of the wheel tread, and obtain the profile of the wheel tread according to the design parameters of the wheel tread;

S4、计算车轮踏面廓形的第一轮轨接触特征;S4, calculating the first wheel-rail contact feature of the wheel tread profile;

S5、判断第一轮轨接触特征中的等效锥度是否符合标准等效锥度,若是则进入步骤S6,否则返回步骤S2;S5. Judging whether the equivalent taper in the first wheel-rail contact feature meets the standard equivalent taper, if so, enter step S6, otherwise return to step S2;

S6、将轨面廓形的轨底坡设置为1/40,将轨面廓形与车轮踏面廓形匹配,计算第二轮轨接触特征;S6. The rail bottom slope of the rail surface profile is set to 1/40, the rail surface profile is matched with the wheel tread profile, and the second wheel-rail contact feature is calculated;

S7、判断第二轮轨接触特征中的等效锥度是否符合标准等效锥度,若是则进入步骤S8,否则返回步骤S2;S7, judging whether the equivalent taper in the second wheel-rail contact feature meets the standard equivalent taper, if so, enter step S8, otherwise return to step S2;

S8、计算车轮踏面廓形在不同轨距和不同轨底坡下的第三轮轨接触特征;S8, calculating the third wheel-rail contact characteristics of the wheel tread profile under different gauges and different rail bottom slopes;

S9、判断第三轮轨接触特征中的等效锥度是否符合标准等效锥度,若是则进入步骤S10,否则返回步骤S2;S9, judging whether the equivalent taper in the third wheel-rail contact feature meets the standard equivalent taper, if so, enter step S10, otherwise return to step S2;

S10、将车轮踏面廓形带入动力学仿真模型中进行仿真验证;S10, bringing the wheel tread profile into the dynamic simulation model for simulation verification;

S11、判断仿真验证结果是否满足标准,若是则输出该车轮踏面廓形,否则返回步骤S2。S11. Determine whether the simulation verification result meets the standard, if yes, output the wheel tread profile, otherwise return to step S2.

进一步地:所述步骤S1中轮轨的初始接触位置为在轮对没有横移时将车轮放置在轨道上,车轮踏面与轨面的接触点距轨道中心的距离范围为-5~15mm。Further: the initial contact position of the wheel-rail in the step S1 is to place the wheel on the track when the wheel set does not move laterally, and the distance between the contact point of the wheel tread and the rail surface from the center of the track is -5-15mm.

进一步地:所述步骤S2中轨面廓形包括CHN60轨面廓形、60D轨面廓形、P65轨面廓形和60R2轨面廓形。Further: the rail profile in step S2 includes CHN60 rail profile, 60D rail profile, P65 rail profile and 60R2 rail profile.

进一步地:所述步骤S3中车轮踏面反向优化设计算法公式为:Further: in the step S3, the wheel tread reverse optimization design algorithm formula is:

上式中,y为车轮踏面横坐标,z为车轮踏面垂坐标,g为误差最小优化目标,设计的车轮踏面廓形,Δfw(y)为参考车轮踏面廓形fw(y)与设计车轮踏面廓形的差值,RL(s)和RR(s)分别为轮对横移s时左右车轮接触点的半径差,Δs为轮对横移步长,ΔR(s)为相连轮对横移步长间轮径差的变化量,μ为ΔR(s)在左右侧车轮踏面轮径差ΔRL(s)和ΔRR(s)间的分配系数,θ为左侧车轮踏面相邻点间斜率变化率控制系数,κ为设计的左侧车轮踏面斜率,分别为设计的左右侧车轮踏面的垂坐标,ymax为车轮踏面横坐标最大值,ymin为车轮踏面横坐标最小值,R(s)为轮对横移s时的轮径差,R(s-Δs)为轮对横移量s-Δs时的轮径差,为左侧车轮踏面在轮对横移s-Δs时轨面接触点处的斜率,z0为初始轮对横移量y0对应的踏面垂向位置。In the above formula, y is the abscissa of the wheel tread, z is the vertical coordinate of the wheel tread, and g is the optimization target of the minimum error, The designed wheel tread profile, Δf w (y) is the difference between the reference wheel tread profile f w (y) and the designed wheel tread profile, R L (s) and R R (s) are the wheel set lateral movement s is the radius difference between the contact points of the left and right wheels, Δs is the lateral movement step length of the wheelset, ΔR(s) is the change in wheel diameter difference between the lateral movement steps of the connected wheelset, and μ is the difference between the left and right wheel treads of ΔR(s) The distribution coefficient between the wheel diameter difference ΔR L (s) and ΔR R (s), θ is the control coefficient of the slope change rate between adjacent points on the left wheel tread, κ is the designed slope of the left wheel tread, and are the vertical coordinates of the designed left and right wheel treads respectively, y max is the maximum value of the abscissa coordinates of the wheel treads, y min is the minimum value of the abscissa coordinates of the wheel treads, R(s) is the wheel diameter difference when the wheelset moves laterally s, R( s-Δs) is the wheel diameter difference when the wheel set lateral displacement s-Δs, is the slope of the left wheel tread at the contact point of the rail surface when the wheel set traverses s-Δs, and z 0 is the vertical position of the tread corresponding to the initial wheel set traverse amount y 0 .

进一步地:所述轮对横移s时的轮径差R(s)的计算公式为:Further: the formula for calculating the wheel diameter difference R(s) when the wheelset moves laterally s is:

R(s)=2s*E(s)R(s)=2s*E(s)

上式中,E(s)为轮轨初始接触点的等效锥度曲线。In the above formula, E(s) is the equivalent taper curve of the initial contact point of the wheel and rail.

进一步地:所述步骤S3中车轮踏面廓形包括LMA车轮踏面廓形、LMB_10车轮踏面廓形、S1002CN车轮踏面廓形、XP55车轮踏面廓形、LM车轮踏面廓形、S1002车轮踏面廓形、S3G车轮踏面廓形和SY8车轮踏面廓形。Further: the wheel tread profile in step S3 includes LMA wheel tread profile, LMB_10 wheel tread profile, S1002CN wheel tread profile, XP55 wheel tread profile, LM wheel tread profile, S1002 wheel tread profile, S3G Wheel tread profile and SY8 wheel tread profile.

进一步地:所述第一轮轨接触特征、第二轮轨接触特征和第三轮轨接触特征均包括轮轨初始接触点位置、接触点分布、接触带宽大小、接触应力大小、接触角和等效锥度。Further: the first wheel-rail contact feature, the second wheel-rail contact feature and the third wheel-rail contact feature all include the initial wheel-rail contact point position, contact point distribution, contact bandwidth size, contact stress size, contact angle and etc. Effective taper.

进一步地:所述步骤S11中标准包括GB5599-85标准、UIC518标准、UIC513标准和EN12299标准。Further: the standards in the step S11 include GB5599-85 standard, UIC518 standard, UIC513 standard and EN12299 standard.

本发明的有益效果为:本发明采用多层优化循环设计方法,能够设计出同时适用于不同轨距和不同轨底坡下的变轨距转向架车轮踏面廓形。设计出的车轮踏面廓形,在保证初始等效锥度设计目标的同时,还能够具有很好的轮轨几何参数灵敏度和符合标准要求的车辆动力学性能。The beneficial effects of the present invention are: the present invention adopts a multi-layer optimization cycle design method, and can design the wheel tread profile of variable gauge bogies applicable to different gauges and different rail bottom slopes at the same time. The designed wheel tread profile can not only ensure the initial equivalent taper design target, but also have good sensitivity to wheel-rail geometric parameters and vehicle dynamic performance that meets the requirements of the standard.

附图说明Description of drawings

图1为本发明流程图;Fig. 1 is a flowchart of the present invention;

图2为本发明中轮轨的几何参数示意图;Fig. 2 is the geometric parameter schematic diagram of wheel rail among the present invention;

图3为本发明中车轮踏面设计示意图;Fig. 3 is a schematic diagram of wheel tread design in the present invention;

图4为本发明中不同类型的钢轨型面外形差异示意图;Fig. 4 is a schematic diagram of the differences in the profiles of different types of rail profiles in the present invention;

图5为本发明中设计的车轮踏面廓形示意图;Fig. 5 is a schematic diagram of the wheel tread profile designed in the present invention;

图6为本发明中轨底坡为1/20时设计的轮轨接触关系示意图;Fig. 6 is a schematic diagram of the wheel-rail contact relationship designed when the bottom slope of the middle rail of the present invention is 1/20;

图7为本发明中轨底坡为1/40时设计的轮轨接触关系示意图。Fig. 7 is a schematic diagram of the wheel-rail contact relationship designed when the bottom slope of the middle rail is 1/40 in the present invention.

具体实施方式Detailed ways

下面对本发明的具体实施方式进行描述,以便于本技术领域的技术人员理解本发明,但应该清楚,本发明不限于具体实施方式的范围,对本技术领域的普通技术人员来讲,只要各种变化在所附的权利要求限定和确定的本发明的精神和范围内,这些变化是显而易见的,一切利用本发明构思的发明创造均在保护之列。The specific embodiments of the present invention are described below so that those skilled in the art can understand the present invention, but it should be clear that the present invention is not limited to the scope of the specific embodiments. For those of ordinary skill in the art, as long as various changes Within the spirit and scope of the present invention defined and determined by the appended claims, these changes are obvious, and all inventions and creations using the concept of the present invention are included in the protection list.

如图1所示,一种变轨距转向架车轮踏面廓形设计方法,包括以下步骤:As shown in Figure 1, a method for designing the wheel tread profile of a variable-gauge bogie includes the following steps:

S1、设置轮轨的初始接触位置;S1. Set the initial contact position of the wheel and rail;

轮轨的初始接触位置为在轮对没有横移时将车轮放置在轨道上,车轮踏面与轨面的接触点距轨道中心的距离范围为-5~15mm。The initial contact position of the wheel-rail is to place the wheel on the track when the wheel set does not move laterally, and the distance between the contact point between the wheel tread and the rail surface and the center of the track is -5 to 15 mm.

S2、选取轨面廓形,并将其轨底坡设置为1/20;S2, select the profile of the rail surface, and set its rail bottom slope to 1/20;

轨面廓形包括CHN60轨面廓形、60D轨面廓形、P65轨面廓形和60R2轨面廓形。其中,CHN60为中国标准60轨廓形,60D为中国预打磨轨面廓形,P65为俄罗斯铁路轨面廓形,60R2为欧洲铁路轨面廓形。The rail profile includes CHN60 rail profile, 60D rail profile, P65 rail profile and 60R2 rail profile. Among them, CHN60 is the Chinese standard 60 rail profile, 60D is the Chinese pre-polished rail profile, P65 is the Russian rail profile, and 60R2 is the European rail track profile.

S3、根据轮轨的初始接触位置和轨面廓形,通过车轮踏面反向优化设计算法计算车轮踏面设计参数,并根据车轮踏面设计参数得到车轮踏面廓形;S3. According to the initial contact position of the wheel-rail and the profile of the rail surface, calculate the design parameters of the wheel tread through the reverse optimization design algorithm of the wheel tread, and obtain the profile of the wheel tread according to the design parameters of the wheel tread;

车轮踏面廓形包括LMA车轮踏面廓形、LMB_10车轮踏面廓形、S1002CN车轮踏面廓形、XP55车轮踏面廓形、LM车轮踏面廓形、S1002车轮踏面廓形、S3G车轮踏面廓形和SY8车轮踏面廓形。其中,LMA、LMB_10、S1002CN、XP55、LM均为中国5种车轮踏面廓形,S3G为俄罗斯游隼号列车车轮踏面廓形,SY8为国内低地板车轮踏面廓形。Wheel tread profiles include LMA wheel tread profile, LMB_10 wheel tread profile, S1002CN wheel tread profile, XP55 wheel tread profile, LM wheel tread profile, S1002 wheel tread profile, S3G wheel tread profile and SY8 wheel tread profile Contour. Among them, LMA, LMB_10, S1002CN, XP55, and LM are five wheel tread profiles in China, S3G is the wheel tread profile of the Russian Peregrine train, and SY8 is the domestic low-floor wheel tread profile.

LMA车轮踏面廓形与CHN60轨面廓形匹配时等效维度为0.04,S1002CN车轮踏面廓形与CHN60轨面廓形时等效维度为0.17。When the LMA wheel tread profile matches the CHN60 rail profile, the equivalent dimension is 0.04, and when the S1002CN wheel tread profile matches the CHN60 rail profile, the equivalent dimension is 0.17.

如图2所示,RL和RR分别为左右车轮半径,LW为两车轮名义滚动圆半径间距离之半,θ为轮对侧滚角;LR为轨距之半;β为轨底坡;b为轨面测量点的垂向距离。其中标准轮对名义滚动圆间距有1493、1500、1520和1580mm等取值,车轮直径范围为780~920mm,轨距取值有1000、1435和1520mm,轨距测量点位置取值有14mm和16mm,轨底坡取值有1/20和1/40。As shown in Figure 2, R L and R R are the radii of the left and right wheels, L W is half the distance between the nominal rolling circle radii of the two wheels, θ is the side roll angle of the wheel pair; L R is half the gauge; bottom slope; b is the vertical distance of the measuring point on the rail surface. Among them, the nominal rolling circle spacing of the standard wheel set has values such as 1493, 1500, 1520 and 1580mm, the wheel diameter ranges from 780 to 920mm, the gauge values include 1000, 1435 and 1520mm, and the gauge measurement point positions range from 14mm to 16mm , the values of rail bottom slope are 1/20 and 1/40.

车轮踏面反向优化设计算法公式为:The formula of wheel tread inverse optimization design algorithm is:

上式中,y为车轮踏面横坐标,z为车轮踏面垂坐标,g为误差最小优化目标,设计的车轮踏面廓形,Δfw(y)为参考车轮踏面廓形fw(y)与设计车轮踏面廓形的差值,RL(s)和RR(s)分别为轮对横移s时左右车轮接触点的半径差,Δs为轮对横移步长,ΔR(s)为相连轮对横移步长间轮径差的变化量,μ为ΔR(s)在左右侧车轮踏面轮径差ΔRL(s)和ΔRR(s)间的分配系数,θ为左侧车轮踏面相邻点间斜率变化率控制系数,κ为设计的左侧车轮踏面斜率,分别为设计的左右侧车轮踏面的垂坐标,ymax为车轮踏面横坐标最大值,ymin为车轮踏面横坐标最小值,R(s)为轮对横移s时的轮径差,R(s-Δs)为轮对横移量s-Δs时的轮径差,为左侧车轮踏面在轮对横移s-Δs时轨面接触点处的斜率,z0为初始轮对横移量y0对应的踏面垂向位置。In the above formula, y is the abscissa of the wheel tread, z is the vertical coordinate of the wheel tread, and g is the optimization target of the minimum error, The designed wheel tread profile, Δf w (y) is the difference between the reference wheel tread profile f w (y) and the designed wheel tread profile, R L (s) and R R (s) are the wheel set lateral movement s is the radius difference between the contact points of the left and right wheels, Δs is the lateral movement step length of the wheelset, ΔR(s) is the change in wheel diameter difference between the lateral movement steps of the connected wheelset, and μ is the difference between the left and right wheel treads of ΔR(s) The distribution coefficient between the wheel diameter difference ΔR L (s) and ΔR R (s), θ is the control coefficient of the slope change rate between adjacent points on the left wheel tread, κ is the designed slope of the left wheel tread, and are the vertical coordinates of the designed left and right wheel treads respectively, y max is the maximum value of the abscissa coordinates of the wheel treads, y min is the minimum value of the abscissa coordinates of the wheel treads, R(s) is the wheel diameter difference when the wheelset moves laterally s, R( s-Δs) is the wheel diameter difference when the wheel set lateral displacement s-Δs, is the slope of the left wheel tread at the contact point of the rail surface when the wheel set traverses s-Δs, and z 0 is the vertical position of the tread corresponding to the initial wheel set traverse amount y 0 .

轮对横移s时的轮径差R(s)的计算公式为:The formula for calculating the wheel diameter difference R(s) when the wheel set traverses s is:

R(s)=2s*E(s)R(s)=2s*E(s)

上式中,E(s)为轮轨初始接触点的等效锥度曲线。In the above formula, E(s) is the equivalent taper curve of the initial contact point of the wheel and rail.

由于输入的轮径差曲线R(s)范围有限,只能反向推导出部分车轮踏面坐标点,如图3中踏面设计部分所示。Due to the limited range of the input wheel diameter difference curve R(s), only part of the wheel tread coordinate points can be deduced in reverse, as shown in the tread design part of Figure 3.

S4、计算车轮踏面廓形的第一轮轨接触特征;S4, calculating the first wheel-rail contact feature of the wheel tread profile;

S5、判断第一轮轨接触特征中的等效锥度是否符合标准等效锥度,若是则进入步骤S6,否则返回步骤S2;S5. Judging whether the equivalent taper in the first wheel-rail contact feature meets the standard equivalent taper, if so, enter step S6, otherwise return to step S2;

S6、将轨面廓形的轨底坡设置为1/40,将轨面廓形与车轮踏面廓形匹配,计算第二轮轨接触特征;S6. The rail bottom slope of the rail surface profile is set to 1/40, the rail surface profile is matched with the wheel tread profile, and the second wheel-rail contact feature is calculated;

S7、判断第二轮轨接触特征中的等效锥度是否符合标准等效锥度,若是则进入步骤S8,否则返回步骤S2;S7, judging whether the equivalent taper in the second wheel-rail contact feature meets the standard equivalent taper, if so, enter step S8, otherwise return to step S2;

S8、计算车轮踏面廓形在不同轨距和不同轨底坡下的第三轮轨接触特征;S8, calculating the third wheel-rail contact characteristics of the wheel tread profile under different gauges and different rail bottom slopes;

不同轨距的变化范围为1425~1445mm和1510~1530mm,按1mm依次进行计算,不同轨底坡的变化范围按1/10、1/15、1/20...1/50依次进行计算。The variation ranges of different gauges are 1425~1445mm and 1510~1530mm, which are calculated according to 1mm, and the variation ranges of different rail bottom slopes are calculated according to 1/10, 1/15, 1/20...1/50.

S9、判断第三轮轨接触特征中的等效锥度是否符合标准等效锥度,若是则进入步骤S10,否则返回步骤S2;S9, judging whether the equivalent taper in the third wheel-rail contact feature meets the standard equivalent taper, if so, enter step S10, otherwise return to step S2;

S10、将车轮踏面廓形带入动力学仿真模型中进行仿真验证;S10, bringing the wheel tread profile into the dynamic simulation model for simulation verification;

S11、判断仿真验证结果是否满足标准,若是则输出该车轮踏面廓形,否则返回步骤S2。S11. Determine whether the simulation verification result meets the standard, if yes, output the wheel tread profile, otherwise return to step S2.

标准包括GB5599-85标准、UIC518标准、UIC513标准和EN12299标准。Standards include GB5599-85 standard, UIC518 standard, UIC513 standard and EN12299 standard.

第一轮轨接触特征、第二轮轨接触特征和第三轮轨接触特征均包括轮轨初始接触点位置、接触点分布、接触带宽大小、接触应力大小、接触角和等效锥度。The first wheel-rail contact feature, the second wheel-rail contact feature and the third wheel-rail contact feature all include the initial wheel-rail contact point position, contact point distribution, contact width, contact stress, contact angle and equivalent taper.

以LMA型车轮踏面适应不同轨距和轨底坡下轨面廓形为例,不同类型的钢轨型面外形差异较明显,如图4所示,从图4可以看出,P65轨面最宽,轨距角较突出,UIC60E2轨顶最突出。设计的车轮踏面廓形如图5所示。设计的轮轨接触关系图如图6和图7所示。Taking the LMA type wheel tread as an example to adapt to different gauges and rail surface profiles under the rail bottom slope, different types of rail profiles have obvious differences, as shown in Figure 4. From Figure 4, it can be seen that the P65 rail surface is the widest , the track gauge angle is more prominent, and the UIC60E2 rail top is the most prominent. The designed wheel tread profile is shown in Fig. 5. The designed wheel-rail contact diagrams are shown in Fig. 6 and Fig. 7.

与不同轨面在不同轨距和轨底坡下匹配的等效锥度能同时满足要求,如表1所示。The equivalent taper matching different rail surfaces under different gauges and rail bottom slopes can meet the requirements at the same time, as shown in Table 1.

表1设计踏面在不同轨面和轨底坡下等效锥度Table 1 Design tread equivalent taper under different rail surfaces and rail bottom slopes

从上表可以看出,设计的车轮踏面与CHN60、UIC60E1、UIC60E2和P65轨面匹配时等效锥度变化范围较小。It can be seen from the above table that when the designed wheel tread is matched with CHN60, UIC60E1, UIC60E2 and P65 rail surfaces, the range of equivalent taper variation is small.

本发明系统地研究了内侧距可变轮对在多种轨距轨道系统环境下的轮轨接触关系,深入分析了不同轨距、轨底坡、钢轨廓形、车轮踏面条件下的轮轨接触特征,如轮对等效锥度、接触点对分布、接触带宽和接触应力等,提出了一种针对变轨距转向架车轮踏面廓形设计的方法。该方法针对变轨距轨道的轮轨接触特征,即轨距从标准轨距1435mm变至宽轨距1520mm,轨底坡从1/40变至1/20时轮轨接触关系的变化,结合车轮踏面反向优化设计方法,选择以轨距1520mm和轨底坡1/20时轮轨接触状态为设计基准,以给定轮径差外形和轮轨初始接触点位置为设计目标,得到优化设计后的车轮踏面廓形。采用轨距1435mm和1/40轨底坡下的轨道来校核设计的车轮踏面廓形的轮轨接触状态和车辆动力学性能。结果表明采用此方法设计的车轮踏面廓形能很好地适应不同轨距和轨底坡下的轨道,车辆动力学性能均能保持优秀的动力学性能和很高的临界速度,解决了变轨距转向架动车组在不同轨距和轨底坡下运行适应性问题。本发明提出了一种针对高速动车组变轨距转向架车轮踏面廓形设计方法,解决了变轨距转向架车轮踏面适应1435mm和1520mm轨距以及1/40和1/20轨底坡等轨道的难题。The present invention systematically studies the wheel-rail contact relationship of the variable inner gauge wheel set under various gauge track system environments, and deeply analyzes the wheel-rail contact under the conditions of different gauges, rail bottom slopes, rail profiles, and wheel treads Features, such as wheel set equivalent taper, contact point pair distribution, contact bandwidth and contact stress, etc., a method for wheel tread profile design of variable gauge bogies is proposed. This method is aimed at the wheel-rail contact characteristics of variable-gauge track, that is, the change of the wheel-rail contact relationship when the gauge changes from the standard gauge of 1435mm to the wide gauge of 1520mm, and the rail bottom slope changes from 1/40 to 1/20. The reverse optimal design method of the tread surface, choose the wheel-rail contact state when the gauge is 1520mm and the rail bottom slope 1/20 as the design basis, and take the given wheel diameter difference shape and the initial contact point position of the wheel and rail as the design goal, after the optimal design wheel tread profile. The track with a gauge of 1435mm and a 1/40 rail bottom slope is used to check the wheel-rail contact state and vehicle dynamic performance of the designed wheel tread profile. The results show that the wheel tread profile designed by this method can well adapt to the tracks with different gauges and rail bottom slopes, and the dynamic performance of the vehicle can maintain excellent dynamic performance and high critical speed, which solves the problem of track change The problem of the adaptability of the bogie EMU to run under different gauges and rail bottom slopes. The present invention proposes a design method for the wheel tread profile of variable-gauge bogies for high-speed EMUs, which solves the problem that the wheel treads of variable-gauge bogies can adapt to tracks such as 1435mm and 1520mm gauges and 1/40 and 1/20 rail bottom slopes. problem.

Claims (8)

1. a kind of gauge-changeable bogie wheel tread profile design method, which comprises the following steps:
S1, the initial contact location that wheel track is set;
S2, rail level profile is chosen, and sets 1/20 for its rail cant;
S3, initial contact location and rail level profile according to wheel track calculate wheel by wheel tread Reverse optimization algorithm for design Tyre tread design parameter, and wheel tread profile is obtained according to wheel tread design parameter;
S4, the first wheel track contact characteristic for calculating wheel tread profile;
S5, judge whether the Equivalent conicity in the first wheel track contact characteristic complies with standard Equivalent conicity, if then entering step S6, Otherwise return step S2;
S6,1/40 is set by the rail cant of rail level profile, rail level profile is matched with wheel tread profile, calculate the second wheel track Contact characteristic;
S7, judge whether the Equivalent conicity in the second Wheel Rail Contact feature complies with standard Equivalent conicity, if then entering step S8, Otherwise return step S2;
S8, third wheel track contact characteristic of the wheel tread profile under different gauges and different rail cants is calculated;
S9, judge whether the Equivalent conicity in third wheel track contact characteristic complies with standard Equivalent conicity, if then entering step S10, otherwise return step S2;
S10, it wheel tread profile is brought into carries out simulating, verifying in Dynamics Simulation Model;
S11, judge whether simulation results meet standard, if then exporting the wheel tread profile, otherwise return step S2.
2. gauge-changeable bogie wheel tread profile design method according to claim 1, which is characterized in that the step In S1 the initial contact location of wheel track be wheel to it is no traversing when wheel placed in orbit, wheel tread and rail level connect Distance range of the contact away from orbit centre is -5~15mm.
3. gauge-changeable bogie wheel tread profile design method according to claim 1, which is characterized in that the step Rail level profile includes CHN60 rail level profile, 60D rail level profile, P65 rail level profile and 60R2 rail level profile in S2.
4. gauge-changeable bogie wheel tread profile design method according to claim 1, which is characterized in that the step Wheel tread Reverse optimization algorithm for design formula in S3 are as follows:
In above formula, y is wheel tread abscissa, and z is the vertical coordinate of wheel tread, and g is error minimum optimization aim,Design Wheel tread profile, Δ fwIt (y) is reference wheel tyre tread profile fw(y) with design wheel tread profile difference, RL(s) and RRIt (s) is respectively the semidiameter for taking turns left and right wheels contact point when to traversing s, Δ s is wheel to traversing step-length, and Δ R (s) is to be connected to take turns Between the variable quantity of wheel footpath difference traversing step-length, μ is Δ R (s) in left and right sides wheel tread wheel footpath difference Δ RL(s) and Δ RR(s) between Distribution coefficient, θ slope variation rate control coefrficient between left side wheel tyre tread consecutive points, κ are the left side wheel tyre tread slope of design,WithThe vertical coordinate of the left and right sides wheel tread respectively designed, ymaxFor wheel tread abscissa maximum value, yminFor wheel Tyre tread abscissa minimum value, R (s) are that wheel footpath when taking turns to traversing s is poor, and (s- Δ s) is wheel footpath when taking turns to traversing amount s- Δ s to R Difference,For slope of the left side wheel tyre tread when wheel is to traversing s- Δ s at rail level contact point, z0Initially to take turns to traversing Measure y0Corresponding tyre tread vertical position.
5. gauge-changeable bogie wheel tread profile design method according to claim 4, which is characterized in that the wheel pair The calculation formula of wheel footpath difference R (s) when traversing s are as follows:
R (s)=2s*E (s)
In above formula, E (s) is the Equivalent conicity curve of wheel track initial contact point.
6. gauge-changeable bogie wheel tread profile design method according to claim 1, which is characterized in that the step In S3 wheel tread profile include LMA wheel tread profile, LMB_10 wheel tread profile, S1002CN wheel tread profile, XP55 wheel tread profile, LM wheel tread profile, S1002 wheel tread profile, S3G wheel tread profile and SY8 wheel pedal Face profile.
7. gauge-changeable bogie wheel tread profile design method according to claim 1, which is characterized in that described first Wheel Rail Contact feature, the second Wheel Rail Contact feature and third wheel track contact characteristic include wheel track initial contact point position, contact Point distribution, contact amount of bandwidth, contact stress size, contact angle and Equivalent conicity.
8. gauge-changeable bogie wheel tread profile design method according to claim 1, which is characterized in that the step S11 Plays include GB5599-85 standard, UIC518 standard, UIC513 standard and EN12299 standard.
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