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CN106248379B - A kind of bearing with solid lubricant accelerated life test loading spectrum design method - Google Patents

A kind of bearing with solid lubricant accelerated life test loading spectrum design method Download PDF

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CN106248379B
CN106248379B CN201610696760.XA CN201610696760A CN106248379B CN 106248379 B CN106248379 B CN 106248379B CN 201610696760 A CN201610696760 A CN 201610696760A CN 106248379 B CN106248379 B CN 106248379B
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wear
load spectrum
cage
solid lubricated
film
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CN106248379A (en
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张超
王少萍
马仲海
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Beihang University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M13/00Testing of machine parts
    • G01M13/04Bearings

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Abstract

本发明涉及一种固体润滑轴承加速寿命试验载荷谱设计方法,其特征在于,包括以下步骤:1)获得固体润滑轴承的在轨工作剖面;2)将得到的载荷谱块转化为典型载荷谱块;3)根据固体润滑轴承的故障机理和动态磨损规律,对载荷谱块进行分级处理。在不改变固体润滑轴承失效机理的前提下,实现固体润滑轴承的加速寿命试验具有较好的加速效果的目的。

The invention relates to a load spectrum design method for an accelerated life test of a solid lubricating bearing, which is characterized in that it comprises the following steps: 1) obtaining the on-orbit working section of the solid lubricating bearing; 2) converting the obtained load spectrum block into a typical load spectrum block ; 3) According to the failure mechanism and dynamic wear law of solid lubricated bearings, the load spectrum blocks are graded. On the premise of not changing the failure mechanism of the solid lubricating bearing, the accelerated life test of the solid lubricating bearing has a better acceleration effect.

Description

一种固体润滑轴承加速寿命试验载荷谱设计方法A Load Spectrum Design Method for Accelerated Life Test of Solid Lubricated Bearings

技术领域technical field

本发明属于航天星载传动机构关键部件可靠性领域,具体涉及一种获得固体润滑轴承加速寿命试验载荷谱的方法。The invention belongs to the field of reliability of key components of an aerospace on-board transmission mechanism, and in particular relates to a method for obtaining a load spectrum of a solid lubricating bearing accelerated life test.

背景技术Background technique

根据国外卫星统计资料表明:星载传动机构因润滑不良而导致的“卡死”是造成卫星失效的主要原因之一,而星载传动机构的摩擦磨损又是导致其性能下降的重要原因。固体润滑轴承是星载传动机构的关键部件,其长时间运转引起的性能退化和精度丧失是影响卫星在轨寿命的关键因素,因而其高可靠性和长寿命对我国航天器的研制和使用至关重要。通常产品的寿命特征是通过在正常条件下做寿命试验的方法来获得的。但对于固体润滑轴承而言,其设计精密、织造工艺复杂、生产成本高、专用性强,一般不会进行大批量的生产,进行其全生命周期寿命试验和相关的破坏性寿命试验的情况就更少。而随着设计、制造技术的发展,以及新材料的使用,航天用固体润滑轴承的寿命越来越长,从而使得寿命试验需要耗费很长的试验时间和大量的试验费用,甚至有可能导致所需要的试验时间远远大于研制周期,很难在投入使用前完成寿命评估与验证,因而对固体润滑轴承的加速寿命试验逐渐受到人们的重视。According to the statistics of foreign satellites, the "stuck" of the on-board transmission mechanism due to poor lubrication is one of the main reasons for the failure of the satellite, and the friction and wear of the on-board transmission mechanism is an important reason for its performance degradation. Solid lubricated bearings are key components of spaceborne transmission mechanisms. Performance degradation and loss of precision caused by long-term operation are the key factors affecting the life of satellites in orbit. Therefore, their high reliability and long life are of great importance to the development and use of my country's spacecraft. important. Usually the life characteristics of products are obtained by doing life tests under normal conditions. However, for solid lubricated bearings, the design is precise, the weaving process is complex, the production cost is high, and the specificity is strong. Generally, mass production will not be carried out. less. With the development of design and manufacturing technology, and the use of new materials, the life of solid lubricated bearings for aerospace is getting longer and longer, so that the life test requires a long test time and a lot of test costs, and may even cause all The required test time is much longer than the development cycle, and it is difficult to complete the life evaluation and verification before putting it into use. Therefore, the accelerated life test of solid lubricated bearings has gradually attracted people's attention.

目前,在工业界,电子产品恒定应力加速寿命试验方法比较成熟,有完善的试验规范和统计方法可循,但需要的试验样本量大,且试验时间长。机械产品因为故障机理相比电子产品更为复杂,目前尚未形成标准化的加速寿命试验规范。固体润滑轴承作为一种精密的机械部件,其特有的润滑方式、工作时所处的空间环境和周期性应力剖面决定了其故障模式繁多、应力耦合严重的特性,导致传统的恒定应力加速寿命试验载荷谱和现有的加速模型难以给出准确的寿命评估结果。因此,如何深入揭示固体润滑轴承的故障机理、提炼加速应力,如何基于固体润滑轴承特有的故障机理和工作应力剖面设计加速寿命试验载荷谱是突破固体润滑轴承加速寿命试验理论和统计方法的关键。At present, in the industry, the constant stress accelerated life test method of electronic products is relatively mature, and there are complete test specifications and statistical methods to follow, but the required test sample size is large and the test time is long. Because the failure mechanism of mechanical products is more complicated than that of electronic products, standardized accelerated life test specifications have not yet been formed. As a precision mechanical component, solid lubricated bearings have many failure modes and severe stress coupling characteristics due to their unique lubrication method, working space environment and periodic stress profile, which lead to the traditional constant stress accelerated life test. The load spectrum and existing acceleration models are difficult to give accurate life assessment results. Therefore, how to deeply reveal the failure mechanism of solid lubricated bearings, extract the accelerated stress, and how to design the load spectrum of accelerated life tests based on the unique failure mechanism and working stress profile of solid lubricated bearings are the keys to breaking through the theory and statistical methods of accelerated life tests of solid lubricated bearings.

加速寿命试验是在不改变产品失效机理的前提下,通过加强应力的办法,加快产品故障、缩短试验时间,在较短的时间内预测出产品在正常应力作用下寿命特征的方法。不改变失效机理是加速寿命试验的前提,加强产品所承受的环境应力或工作应力是进行加速寿命试验的必要手段。加速寿命试验是通过加强应力来缩短试验时间,但如果应力过大,改变了产品的失效机理,则加速寿命试验就失去了意义。如果应力偏小,则会导致试验时间缩短并不明显,加速寿命试验无法得到最佳的效果。加速寿命试验载荷谱即是指在加速寿命试验中所加强的应力与相对的时间段所对应的关系。如何结合产品的实际工况,确定不改变产品失效机理、且能起到较好的加速作用的加速寿命试验载荷谱一直是困扰设计人员的难题。The accelerated life test is a method to predict the life characteristics of the product under normal stress in a short period of time by increasing the stress without changing the failure mechanism of the product. Not changing the failure mechanism is the premise of the accelerated life test, and strengthening the environmental stress or working stress of the product is a necessary means for the accelerated life test. The accelerated life test is to shorten the test time by strengthening the stress, but if the stress is too large and changes the failure mechanism of the product, the accelerated life test will lose its meaning. If the stress is too small, the shortening of the test time will not be obvious, and the accelerated life test cannot get the best results. The accelerated life test load spectrum refers to the relationship between the stress strengthened in the accelerated life test and the relative time period. How to combine the actual working conditions of the product to determine the accelerated life test load spectrum that does not change the failure mechanism of the product and can play a better accelerated role has always been a difficult problem for designers.

目前可以检索到国外产品加速寿命试验的参考资料,但大多集中在统计方法的研究,关于载荷谱设计的内容非常少。鉴于国外对我国相关技术采取封闭政策,我们对国外航天固体润滑轴承如何设计加速寿命试验载荷谱无从得知,我国对固体润滑轴承的加速寿命试验的研究也刚刚起步,到目前为止我国尚未有适合于工程应用的固体润滑轴承加速寿命试验载荷谱设计方法。At present, the reference materials of accelerated life tests of foreign products can be retrieved, but most of them focus on the research of statistical methods, and there is very little content about load spectrum design. In view of the closed policy adopted by foreign countries on my country's related technologies, we have no way of knowing how to design the accelerated life test load spectrum of foreign aerospace solid lubricated bearings. The research on accelerated life tests of solid lubricated bearings in my country has just started. A load spectrum design method for accelerated life tests of solid lubricated bearings for engineering applications.

发明内容Contents of the invention

本发明为了解决在不改变固体润滑轴承失效机理的前提下,实现固体润滑轴承的加速寿命试验具有较好的加速效果的目的,提出一种固体润滑轴承综合应力加速寿命试验载荷谱设计方法,为固体润滑轴承提供了一种不改变失效机理且加速效果较为明显的加速寿命试验载荷谱设计方法,该方法实用性和可操作性强,是对固体润滑轴承寿命评估的行之有效的加速方法。In order to solve the problem of achieving a better acceleration effect in the accelerated life test of solid lubricated bearings without changing the failure mechanism of solid lubricated bearings, the present invention proposes a load spectrum design method for comprehensive stress accelerated life tests of solid lubricated bearings. Solid lubricated bearings provide a load spectrum design method for accelerated life tests that does not change the failure mechanism and has a more obvious acceleration effect. This method is practical and operable, and is an effective accelerated method for evaluating the life of solid lubricated bearings.

本发明提出的一种固体润滑轴承综合应力加速寿命试验载荷谱设计方法,具体为:A method for designing the load spectrum of a comprehensive stress accelerated life test for solid lubricated bearings proposed by the present invention, specifically:

步骤一、获得固体润滑轴承的在轨工作剖面。Step 1: Obtain the on-orbit working section of the solid lubricating bearing.

在轨工作剖面指该部件为完成在轨飞行任务而绘制的一种工作状况图形,其横坐标为时间,纵坐标为相应任务对应的载荷应力及工作状况。The on-orbit working profile refers to a working status graph drawn by the component to complete the on-orbit flight task. The abscissa is time, and the ordinate is the load stress and working status corresponding to the corresponding task.

步骤二、将得到的载荷谱块转化为典型载荷谱块。Step 2, converting the obtained load spectrum block into a typical load spectrum block.

载荷谱是部件在实际工作中,受到的载荷应力,工作状况以及每档所用时间之间的对应关系。例如本例中轴承所受的轴向载荷,轴承的转速以及持续时间之间的对应关系。The load spectrum is the corresponding relationship between the component's actual work, the load stress, the working condition and the time used for each gear. For example, the axial load on the bearing in this example, the corresponding relationship between the rotational speed of the bearing and the duration.

典型载荷谱块即具有代表性的,能反映实际工作状况的不同等级的载荷谱。Typical load spectrum blocks are representative load spectra of different levels that can reflect actual working conditions.

步骤三、根据固体润滑轴承的故障机理和动态磨损规律,对载荷谱块进行分级处理。Step 3, according to the failure mechanism and dynamic wear law of the solid lubricated bearing, classify the load spectrum blocks.

具体地,本发明通过下属方案得到上述目的。Specifically, the present invention achieves the above objects through the following solutions.

一种固体润滑轴承加速寿命试验载荷谱设计方法,其特征在于,包括以下步骤:A method for designing a load spectrum for an accelerated life test of a solid lubricated bearing, comprising the following steps:

1)获得固体润滑轴承的在轨工作剖面;1) Obtain the on-orbit working profile of the solid lubricated bearing;

2)将得到的载荷谱块转化为典型载荷谱块;2) Convert the obtained load spectrum block into a typical load spectrum block;

3)根据固体润滑轴承的故障机理和动态磨损规律,对载荷谱块进行分级处理。3) According to the failure mechanism and dynamic wear law of solid lubricated bearings, the load spectrum blocks are graded.

根据前述方案所述的方法,其特征在于,步骤1)中包括:通过分析固体润滑轴承中润滑膜的磨损和转移,分别给出镀膜磨损率和保持架润滑材料转移速率与外加应力的关系,得到固体润滑轴承动态复合磨损。According to the method described in the preceding scheme, it is characterized in that step 1) includes: by analyzing the wear and transfer of the lubricating film in the solid lubricating bearing, the relationship between the wear rate of the coating film and the transfer rate of the lubricating material of the cage and the applied stress is respectively given, The dynamic complex wear of solid lubricated bearings is obtained.

根据前述方案所述的方法,其特征在于,步骤2)中包括:通过直接截取将得到的载荷谱转化为典型载荷谱块。According to the method described in the aforementioned solution, it is characterized in that step 2) includes: converting the obtained load spectrum into a typical load spectrum block by direct interception.

根据前述方案所述的方法,其特征在于,步骤3)中包括:对于保持架转移速率高于沟道镀膜消耗速率而导致润滑膜过量的情况和/或保持架转移速率低于沟道镀膜消耗速率而导致润滑膜缺失的载荷谱块进行合并。According to the method described in the preceding scheme, it is characterized in that step 3) includes: for the case where the transfer rate of the cage is higher than the consumption rate of the channel coating, resulting in excessive lubrication film and/or the transfer rate of the cage is lower than the consumption of the channel coating The load spectrum blocks that caused the loss of lubricant film due to the velocity were merged.

根据前述方案所述的方法,其特征在于,步骤3)中包括:According to the method described in the preceding scheme, it is characterized in that step 3) includes:

固体润滑轴承动态复合磨损通过如下方式获得:The dynamic compound wear of solid lubricated bearings is obtained by the following methods:

对于沟道镀膜磨损速率,引入速度和时间来表征滑动距离,得到磨损量公式为:For the wear rate of the channel coating, the speed and time are introduced to characterize the sliding distance, and the wear amount formula is obtained as:

其中W1为沟道镀膜磨损量,p1为压力,v1为滑动速度,t为试验时间,K1、a、b、c都为基于统计数据确定的常数;Among them, W 1 is the wear amount of the channel coating, p 1 is the pressure, v 1 is the sliding velocity, t is the test time, and K 1 , a, b, and c are all constants determined based on statistical data;

通过统计数据拟合出沟道镀膜消耗速率与加速应力之间的关系;考虑到固体润滑轴承常用的加速应力为转速和轴向载荷,此关系表征为:The relationship between the channel coating consumption rate and the accelerated stress is fitted by statistical data; considering that the commonly used accelerated stress of solid lubricated bearings is rotational speed and axial load, this relationship is expressed as:

Ioff=F1(V,P) (2)I off =F 1 (V,P) (2)

其中Ioff表示沟道镀膜消耗速率,V和P分别表示转速和轴向载荷应力的幅值;Where I off represents the channel coating consumption rate, V and P represent the magnitude of the rotational speed and axial load stress, respectively;

基于保持架的磨痕的凹呈椭圆抛物面形,得到保持架润滑膜转移量的表达式:Based on the concavity of the wear scar of the cage in the shape of an elliptical parabola, the expression of the lubricant film transfer amount of the cage is obtained:

其中W2为保持架润滑膜转移量,p2为平均Hertz接触力,D=v2t为滑动距离,K2、j、m为基于统计数据确定的常数,v2为相对滑动速度;保持架润滑材料移速率与加速应力之间的关系为:Among them, W 2 is the amount of lubricating film transfer of the cage, p 2 is the average Hertz contact force, D=v 2 t is the sliding distance, K 2 , j, m are constants determined based on statistical data, v 2 is the relative sliding speed; The relationship between the migration rate of the lubricating material and the accelerated stress is:

Ibr=F2(V,P) (4)I br =F 2 (V,P) (4)

其中Ibr表示保持架润滑材料转移速率;Where I br represents the transfer rate of the cage lubricating material;

基于(2)式和(4)式得到内外沟道上磨损消耗的润滑膜体积Woff(t)和保持架经滚动体向内外沟道上转移的润滑膜体积Wbr(t),从而得到不同应力下润滑膜厚度的动态表达式:Based on formulas (2) and (4), the volume of lubricating film W off (t) consumed by wear on the inner and outer raceways and the volume of lubricating film W br (t) transferred from the cage to the inner and outer raceways through the rolling elements are obtained, so that different stresses can be obtained The dynamic expression of lower lubricating film thickness:

其中δ为润滑膜厚度,δ0为沟道镀膜初始厚度,A为沟道镀膜面积。根据前述方案所述的方法,其特征在于,步骤3)中包括:Where δ is the thickness of the lubricating film, δ 0 is the initial thickness of the trench coating, and A is the area of the trench coating. According to the method described in the preceding scheme, it is characterized in that step 3) includes:

所述合并的表达式为:The combined expression is:

其中N为载荷谱块的个数,△δi为第i个载荷谱块所对应的总的润滑膜改变量,△δA为加速载荷谱块对应的润滑膜改变量。Where N is the number of load spectrum blocks, △δ i is the total lubricant film change corresponding to the i-th load spectrum block, and △δ A is the lubricant film change corresponding to the accelerated load spectrum block.

本发明的优点和积极效果在于:Advantage and positive effect of the present invention are:

(1)在常规寿命试验载荷谱确定的情况下,能够较大程度地加速固体润滑轴承故障进程,加快得到故障试验样本的速度;(1) Under the condition that the routine life test load spectrum is determined, the failure process of solid lubricated bearings can be accelerated to a large extent, and the speed of obtaining failure test samples can be accelerated;

(2)提供了基于谱块分级和等效损伤的载荷谱设计方法,能够更好地反映固体润滑轴承的实际运行载荷剖面;(2) A load spectrum design method based on spectral block classification and equivalent damage is provided, which can better reflect the actual operating load profile of solid lubricated bearings;

(3)在设计固体润滑轴承加速寿命试验载荷谱时,通过调整应力的幅值和时间,保证不改变固体润滑轴承的故障机理。(3) When designing the load spectrum of the accelerated life test of solid lubricated bearings, the failure mechanism of solid lubricated bearings is not changed by adjusting the stress amplitude and time.

附图说明Description of drawings

图1是固体润滑轴承的结构和润滑膜转移示意图;Figure 1 is a schematic diagram of the structure of a solid lubricated bearing and the transfer of a lubricating film;

图2是固体润滑轴承加速寿命试验载荷谱设计方法;Figure 2 is the design method of the load spectrum for the accelerated life test of solid lubricated bearings;

图3是固体润滑轴承动态复合磨损规律的推导过程;Figure 3 is the derivation process of the dynamic compound wear law of solid lubricated bearings;

图4是滚动体与沟道的椭圆接触区域。Figure 4 is the elliptical contact area between the rolling element and the channel.

其中附图是对本发明的内容进行示意性说明,并非采用附图所示的内容对本发明的内容进行具体限定。The accompanying drawings are schematic illustrations of the content of the present invention, and the content shown in the accompanying drawings is not used to specifically limit the content of the present invention.

具体实施方式Detailed ways

下面结合附图及实施方式对本发明的固体润滑轴承加速寿命试验载荷谱设计方法进行详细说明。The method for designing the load spectrum of the accelerated life test of the solid lubricated bearing according to the present invention will be described in detail below in conjunction with the accompanying drawings and the embodiments.

图1是固体润滑轴承的示意图,固体润滑轴承通常采用轴承内外圈、保持架和滚动体相结合的结构形式。其中1为外圈,2为内圈,3为保持架,4为外圈1上的外圈润滑膜,5为内圈2上的内圈润滑膜,6为滚动体。外圈通常保持固定,而内圈通常随轴旋转,实际应用中二者的运动关系也可以需要发生变化,即可以内圈2固定,而外圈1转动。当内圈1和外圈2之间发生相对运动时,滚动体6转动。外圈润滑膜4位于外圈1内表面上的沟道中,内圈润滑膜5则位于内圈2外表面上的沟道中。润滑膜使用最广泛的材料是二硫化钼。润滑膜可以采用镀膜的方式制备。保持架3是一种起自润滑作用的保持架,由“可牺牲的”润滑材料制成,最经常使用的材料为PI(聚酰亚胺)和MoS2。在固体润滑轴承运转过程中,沟道镀膜起润滑作用;而保持架则被设计为可控的速度和方式经滚动体旋转将自身的润滑材料转移到内外沟道上,起到对润滑膜的损耗进行补充的作用,以保持润滑效果。Figure 1 is a schematic diagram of a solid lubricating bearing. A solid lubricating bearing usually adopts a structural form that combines the inner and outer rings of the bearing, the cage and the rolling elements. Among them, 1 is the outer ring, 2 is the inner ring, 3 is the cage, 4 is the lubricating film of the outer ring on the outer ring 1, 5 is the lubricating film of the inner ring on the inner ring 2, and 6 is the rolling element. The outer ring usually remains fixed, while the inner ring usually rotates with the shaft. In practical applications, the kinematic relationship between the two may also need to be changed, that is, the inner ring 2 may be fixed while the outer ring 1 rotates. When a relative movement occurs between the inner ring 1 and the outer ring 2, the rolling elements 6 rotate. The lubricating film 4 of the outer ring is located in the groove on the inner surface of the outer ring 1 , and the lubricating film 5 of the inner ring is located in the groove on the outer surface of the inner ring 2 . The most widely used material for the lubricating film is molybdenum disulfide. The lubricating film can be prepared by coating. Cage 3 is a self-lubricating cage made of "sacrificable" lubricating materials, the most commonly used materials being PI (polyimide) and MoS 2 . During the operation of solid lubricated bearings, the channel coating acts as a lubricant; while the cage is designed to transfer its own lubricating material to the inner and outer channels through the rotation of the rolling elements at a controllable speed and method, thereby reducing the loss of the lubricating film. Supplementary effect to maintain the lubricating effect.

如图2所示,进行加速寿命试验载荷谱设计的方法如下:As shown in Figure 2, the method for designing the load spectrum of the accelerated life test is as follows:

步骤一、获得固体润滑轴承的在轨工作剖面。在运转初期,起润滑作用的主要是沟道镀膜。随着滚动体的旋转以及滚动体与保持架的接触和相互碰撞,保持架的润滑材料通过滚动体的旋转不断向沟道上转移,在此过程中,沟道镀膜逐渐磨损和消耗,沟道镀膜逐渐过渡为转移膜润滑,最终转移膜起主要润滑作用,如图1所示。到沟道镀膜和转移膜都消耗完毕后,轴承逐渐磨损直至失效。实际运转过程中,也可能出现润滑材料转移速度过快的情况,导致润滑材料在内外沟道上堆积。造成摩擦力矩过大,使轴承堵转或难以平稳工作,进而导致失效。因此,需要深入研究固体润滑轴承中润滑膜的磨损和转移规律,分别给出镀膜磨损率和保持架润滑材料转移速率与外加应力的关系,得到固体润滑轴承动态复合磨损规律,以便于后续加速寿命试验载荷谱的设计。Step 1: Obtain the on-orbit working section of the solid lubricating bearing. In the initial stage of operation, the channel coating is mainly used for lubrication. With the rotation of the rolling elements and the contact and collision between the rolling elements and the cage, the lubricating material of the cage is continuously transferred to the channel through the rotation of the rolling elements. During this process, the channel coating is gradually worn and consumed, and the channel coating Gradually transition to transfer film lubrication, and finally the transfer film plays the main role of lubrication, as shown in Figure 1. After the channel coating and the transfer film are consumed, the bearing gradually wears out until it fails. During actual operation, the transfer speed of lubricating material may also be too fast, resulting in the accumulation of lubricating material on the inner and outer channels. The friction torque is too large, which makes the bearing stalled or difficult to work smoothly, which leads to failure. Therefore, it is necessary to study the wear and transfer laws of the lubricating film in solid lubricated bearings, and give the relationship between the wear rate of the coating film and the transfer rate of the lubricating material of the cage and the applied stress, and obtain the dynamic compound wear law of the solid lubricated bearing, so as to facilitate the subsequent accelerated life. Design of test load spectrum.

固体润滑轴承动态复合磨损规律的推导过程如图3所示。对于沟道镀膜磨损速率,引入速度和时间来表征滑动距离,得到磨损量公式为:The derivation process of the dynamic composite wear law of solid lubricated bearings is shown in Fig. 3. For the wear rate of the channel coating, the speed and time are introduced to characterize the sliding distance, and the wear amount formula is obtained as:

其中W1为沟道镀膜磨损量,p1为压力,v1为滑动速度,t为试验时间,K1、a、b、c都为基于统计数据确定的常数。Where W 1 is the wear amount of the channel coating, p 1 is the pressure, v 1 is the sliding velocity, t is the test time, K 1 , a, b, and c are all constants determined based on statistical data.

滚动体与内外沟道的接触属于点接触。根据Hertz接触理论,可以通过受力分析和所施加的外部载荷(即加速应力)得到接触区的应力分布。再基于宏观磨损理论,可以通过统计数据拟合出沟道镀膜消耗速率与加速应力之间的关系。考虑到固体润滑轴承常用的加速应力为转速和轴向载荷,此关系可以表征为:The contact between the rolling elements and the inner and outer channels is a point contact. According to the Hertz contact theory, the stress distribution in the contact area can be obtained through the force analysis and the applied external load (ie accelerated stress). Based on the macroscopic wear theory, the relationship between the channel coating consumption rate and the accelerated stress can be fitted through statistical data. Considering that the acceleration stress commonly used in solid lubricated bearings is rotational speed and axial load, this relationship can be expressed as:

Ioff=F1(V,P) (8)I off =F 1 (V,P) (8)

其中Ioff表示沟道镀膜消耗速率,V和P分别表示转速和轴向载荷应力的幅值。Among them, I off represents the consumption rate of channel coating, and V and P represent the magnitude of rotational speed and axial load stress, respectively.

保持架润滑材料的转移速率同样可以基于摩擦学方法得到。基于保持架的磨痕的凹呈椭圆抛物面形,给出保持架润滑膜转移量的表达式:The transfer rate of the cage lubricating material can also be obtained based on tribological methods. Based on the concavity of the wear scar of the cage in the shape of an ellipse paraboloid, the expression of the amount of lubricating film transfer of the cage is given:

其中W2为保持架润滑膜转移量,p2为平均Hertz接触力,D=v2t为滑动距离,K2、j、m为基于统计数据确定的常数,v2为相对滑动速度。同样基于宏观磨损理论和Hertz接触理论。利用有限元分析等方法,可以得到保持架润滑材料转移速率与加速应力之间的关系,表征为:Where W 2 is the transfer amount of lubricating film on the cage, p 2 is the average Hertz contact force, D=v 2 t is the sliding distance, K 2 , j, m are constants determined based on statistical data, and v 2 is the relative sliding speed. Also based on macro wear theory and Hertz contact theory. Using methods such as finite element analysis, the relationship between the transfer rate of the cage lubricating material and the accelerated stress can be obtained, which is characterized as:

Ibr=F2(V,P) (10)I br =F 2 (V,P) (10)

其中Ibr表示保持架润滑材料转移速率。结合实际的载荷历程,可以分为基于(8)式和(10)式计算得到内外沟道上磨损消耗的润滑膜体积Woff(t)和保持架经滚动体向内外沟道上转移的润滑膜体积Wbr(t),进而可以给出不同应力下润滑膜厚度的动态表达式:Where I br represents the transfer rate of the cage lubricating material. Combined with the actual load history, it can be divided into the lubricating film volume W off (t) consumed by wear on the inner and outer raceways calculated based on (8) and (10) and the lubricating film volume transferred from the cage to the inner and outer raceways through the rolling elements W br (t), and then the dynamic expression of the lubricating film thickness under different stresses can be given as:

其中δ为润滑膜厚度,δ0为沟道镀膜初始厚度,A为沟道镀膜面积。上述润滑膜厚度的动态表达式即表征固体润滑轴承动态复合磨损。根据动态磨损规律和基于统计数据得到的故障阈值可以得到不同应力水平下固体润滑轴承故障机理的物理本质和耦合关系,为其加速寿命试验载荷谱设计奠定基础。Where δ is the thickness of the lubricating film, δ 0 is the initial thickness of the trench coating, and A is the area of the trench coating. The above dynamic expression of lubricating film thickness represents the dynamic complex wear of solid lubricated bearings. According to the dynamic wear law and the failure threshold based on statistical data, the physical essence and coupling relationship of the failure mechanism of solid lubricated bearings under different stress levels can be obtained, which lays the foundation for the design of the load spectrum of the accelerated life test.

步骤二、将得到的载荷谱块转化为典型载荷谱块。因为固体润滑轴承常用的加速应力有两个——转速和轴向载荷,而实际在轨的固体润滑轴承可能承受更为复杂的阶段性载荷谱,所以,可以通过直接截取将得到的载荷谱转化为典型载荷谱块。Step 2, converting the obtained load spectrum block into a typical load spectrum block. Because there are two commonly used acceleration stresses for solid lubricated bearings—rotational speed and axial load, and the actual solid lubricated bearings in orbit may bear a more complex phased load spectrum, so the obtained load spectrum can be transformed by direct interception is a typical load spectrum block.

步骤三、根据固体润滑轴承的故障机理和动态磨损规律,对载荷谱块分为四级,I级表示保持架转移速率过快,在此种应力水平下固体润滑轴承将很快在内外沟道上形成过量润滑膜,造成堵转而很快失效。这类载荷谱块一般不会在工程实际中出现,或者在整个载荷谱中所占的比例很小,但是会很快导致轴承故障,因而属于改变故障机理的载荷谱块,在载荷谱编制时应予以保留。II级表示保持架转移速率高于沟道镀膜消耗速率,但不会在短时间内导致润滑膜过量,在工程实际中往往反映为摩擦力矩偏大,在较长时间后导致失效。III级表示保持架转移速率低于沟道镀膜消耗速率,因而轴承会逐步消耗沟道镀膜和转移膜,最终因润滑膜缺失而导致失效。IV级表示保持架转移速率和沟道镀膜消耗速率都非常慢,此种情况下,轴承润滑膜厚度几乎保持不变,因而此类载荷谱块对固体润滑轴承的性能退化和寿命的影响几乎可以忽略;对于在轨运行的固体润滑轴承,此类载荷占据很大比例,在载荷谱编制时通常可以略去。Step 3. According to the failure mechanism and dynamic wear law of solid lubricated bearings, the load spectrum block is divided into four levels. Level I means that the transfer rate of the cage is too fast. Under this stress level, the solid lubricated bearing will soon be on the inner and outer grooves. Excessive lubricating film is formed, resulting in stall and rapid failure. This kind of load spectrum block generally does not appear in engineering practice, or it occupies a small proportion in the entire load spectrum, but it will quickly lead to bearing failure, so it belongs to the load spectrum block that changes the failure mechanism. When compiling the load spectrum should be retained. Level II indicates that the transfer rate of the cage is higher than the consumption rate of the channel coating, but it will not cause excessive lubrication film in a short period of time. In engineering practice, it is often reflected in the fact that the friction torque is too large, which will lead to failure after a long time. Class III indicates that the transfer rate of the cage is lower than the consumption rate of the channel coating, so the bearing will gradually consume the channel coating and transfer film, and eventually fail due to the lack of lubricating film. Class IV indicates that the cage transfer rate and channel coating consumption rate are very slow. In this case, the thickness of the bearing lubricant film remains almost constant, so the impact of this type of load spectrum on the performance degradation and life of solid lubricated bearings can be almost Neglected; for solid lubricated bearings running on orbit, this kind of load occupies a large proportion, and can usually be omitted when compiling the load spectrum.

对以上II级和III级载荷谱块,在编制加速寿命试验载荷谱时通常采用合并的形式。对固体润滑轴承而言,合并的原则为等效损伤原则(即等效润滑膜厚度改变量)。II级载荷谱块对应的是转移膜过量故障,对应润滑膜厚度增加,其合并原则为:For the above-mentioned level II and level III load spectrum blocks, a combined form is usually adopted when compiling the accelerated life test load spectrum. For solid lubricated bearings, the combined principle is the principle of equivalent damage (that is, the change in thickness of the equivalent lubricating film). The load spectrum block of level II corresponds to the fault of excessive transfer film, which corresponds to the increase of the thickness of the lubricating film. The principle of combination is:

其中N为II级载荷谱块的个数,△δi为第i个II级载荷谱块所对应的总的润滑膜改变量,△δA为加速载荷谱块对应的润滑膜改变量。根据计算得到的△δA,可以基于式(11),采用优化方法计算加速应力V和P的值,实际操作时还需考虑工程可实现性。Among them, N is the number of II-level load spectrum blocks, Δδ i is the total lubricant film change corresponding to the i-th II-level load spectrum block, and Δδ A is the lubricant film change corresponding to the accelerated load spectrum block. According to the calculated △δ A , the acceleration stress V and P can be calculated by using the optimization method based on formula (11). The actual operation also needs to consider the engineering feasibility.

III级载荷谱块对应的是润滑膜缺失故障,对应润滑膜厚度减小,合并原则与II级载荷谱块相同。The third-level load spectrum block corresponds to the failure of the lack of lubrication film, corresponding to the decrease of the thickness of the lubrication film, and the combination principle is the same as that of the second-level load spectrum block.

实例:Example:

采用本发明方法对某星载固体润滑轴承加速寿命试验载荷谱设计如下:Adopt the method of the present invention to the accelerated life test load spectrum design of certain space-borne solid lubricated bearing as follows:

首先分析固体润滑轴承的工作环境以及承受的应力,并进行加速应力的选择。固体润滑轴承是一种基本的航天星载传动组件,广泛用于空间飞行器的各类仪器和机构中。固体润滑轴承承受的环境应力主要有温度、辐射等,工作应力主要有转速、径向载荷、轴向载荷等。Firstly, analyze the working environment and the stress of the solid lubricated bearing, and select the acceleration stress. Solid lubricating bearings are a basic spaceborne transmission component, widely used in various instruments and mechanisms of space vehicles. The environmental stresses suffered by solid lubricated bearings mainly include temperature, radiation, etc., and the main working stresses include rotational speed, radial load, axial load, etc.

实际工作中,固体润滑轴承失效多由润滑不良或磨损导致。固体润滑膜逐渐磨损消耗,润滑膜破坏而导致轴承力矩增加或振动增大,最终导致失效。进行固体润滑轴承加速寿命试验时,主要选择转速和轴向载荷作为加速应力。In actual work, the failure of solid lubricated bearings is mostly caused by poor lubrication or wear. The solid lubricating film is gradually worn out, and the lubricating film is destroyed, resulting in increased bearing torque or vibration, which eventually leads to failure. In the accelerated life test of solid lubricated bearings, the rotational speed and axial load are mainly selected as the accelerated stress.

表1给出了某星载固体润滑轴承在轨的载荷历程,每个周期经历总时间为11min。表1所示载荷历程共分为6个阶段,分别对应相应的在轨工况,即低速正向旋转、低速反向旋转、高速正向旋转、高速反向旋转等阶段。因为固体润滑轴承常用的加速应力有两个,将得到的载荷谱块转化为典型载荷谱块。根据固体润滑轴承的故障机理和动态磨损规律,可以将其载荷谱块分为四级,其中可将表1中1-5阶段截取为II级和III级谱块,第6阶段为I级谱块。Table 1 shows the load history of a spaceborne solid lubricated bearing on orbit, and the total time of each cycle is 11 minutes. The load history shown in Table 1 is divided into six stages, corresponding to the corresponding on-orbit working conditions, that is, low-speed forward rotation, low-speed reverse rotation, high-speed forward rotation, and high-speed reverse rotation. Because there are two accelerated stresses commonly used in solid lubricated bearings, the obtained load spectrum block is transformed into a typical load spectrum block. According to the failure mechanism and dynamic wear law of solid lubricated bearings, its load spectrum block can be divided into four levels, among which the stages 1-5 in Table 1 can be intercepted as II and III spectrum blocks, and the sixth stage is I level spectrum piece.

表1某星载固体润滑轴承在轨的载荷历程Table 1 Load history of a spaceborne solid lubricated bearing in orbit

航天器机构固体润滑轴承一般工作在轻载低速工况下。而对于滚动体轴承,常施加一定的轴向预紧载荷以提高轴承的刚度和旋转精度。为了简化分析计算,本文做以下两点假设:The solid lubricated bearings of spacecraft mechanisms generally work under light load and low speed conditions. For rolling element bearings, a certain axial preload is often applied to improve the stiffness and rotation accuracy of the bearing. In order to simplify the analysis and calculation, this paper makes the following two assumptions:

1)在低速工况下,滚动体运动所产生的惯性载荷忽略不计。1) Under low speed conditions, the inertial load generated by the motion of the rolling elements is negligible.

2)在空间微重力环境下,滚动体轴承仅承受预紧载荷。2) In the space microgravity environment, the rolling element bearing only bears the preload.

当轴承承受中心轴向预紧载荷Fa时,各滚动体的接触载荷Q相同,即When the bearing bears the central axial preload Fa, the contact load Q of each rolling element is the same, that is

式中,Z为滚动体的个数,α为轴承实际接触角。依据点接触Hertz理论,依据点接触赫兹理论,滚动体和内外沟道的接触区为椭圆。建立坐标系s={o,x y z},坐标系s的原点o设在椭圆中心,x轴沿椭圆长轴方向,y轴沿椭圆短轴指向滚动体的滚动方向,z轴沿接触面法线方向,如图4所示,椭圆接触区任意一点(x,y)处的接触力为:In the formula, Z is the number of rolling elements, and α is the actual contact angle of the bearing. According to the Hertz theory of point contact, the contact area between the rolling element and the inner and outer channels is an ellipse. Establish a coordinate system s={o, x y z}, the origin o of the coordinate system s is set at the center of the ellipse, the x-axis is along the long axis of the ellipse, the y-axis points to the rolling direction of the rolling body along the short axis of the ellipse, and the z-axis is along the normal of the contact surface direction, as shown in Figure 4, the contact force at any point (x, y) in the ellipse contact area is:

式中,p0为椭圆接触区的最大接触应力,a、b分别为椭圆的长、短半轴根据最大Hertz接触应力的计算公式,得其最大接触应力为:In the formula, p 0 is the maximum contact stress in the ellipse contact area, a and b are the major and minor semi-axes of the ellipse respectively. According to the calculation formula of the maximum Hertz contact stress, the maximum contact stress is obtained as:

式中πeaeb为常数,可以查Hertz接触系数表得到,∑ρ2为接触物体的主曲率和,这里取εE=1。In the formula, πe a e b is a constant, which can be obtained from the Hertz contact coefficient table, and ∑ρ 2 is the sum of the principal curvatures of the contact object, where ε E =1.

对滚动体轴承的运动分析引入以下几点假设:The kinematic analysis of rolling element bearings introduces the following assumptions:

1)轴承外圈固定、内圈旋转;1) The outer ring of the bearing is fixed and the inner ring rotates;

2)在低速工况下,轴承内外圈的接触角相同,且不考虑滚动体的陀螺运动;2) Under low-speed conditions, the contact angles of the inner and outer rings of the bearing are the same, and the gyroscopic motion of the rolling elements is not considered;

3)滚动体在轴承外圈沟道仅发生滚动,而在内圈沟道既有滚动又有自旋。3) The rolling body only rolls in the outer ring channel of the bearing, while the inner ring channel has both rolling and spin.

4)椭圆接触区点(x,y)处滚动体与内圈沟道的相对滑动速度v(x,y)为该点处沿椭圆短轴方向的差动滑动速度v1(x,y)和自旋滑动速度v2(x,y)的矢量和,见图4。4) The relative sliding speed v(x, y) between the rolling element and the inner ring channel at the point (x, y) of the elliptical contact area is the differential sliding speed v1(x, y) along the short axis of the ellipse at this point and Vector sum of spin-slip velocities v2(x, y), see Fig. 4.

点(x,y)处滑动速度v(x,y)为:The sliding velocity v(x, y) at point (x, y) is:

式中,ω为轴承内圈转动的绝对角速度;g(x,y)为椭圆接触区x,y的函数,与轴承几何特性、工况(载荷)等有关。In the formula, ω is the absolute angular velocity of the inner ring of the bearing; g(x, y) is a function of the elliptical contact area x, y, which is related to the geometric characteristics of the bearing, working conditions (load), etc.

由式(7)可知,滚动体与沟道椭圆接触区内任一点(x,y)处固体润滑膜的线磨损率为:It can be seen from formula (7) that the linear wear rate of the solid lubricating film at any point (x, y) in the elliptical contact area between the rolling element and the raceway is:

如图4所示,在点(x,y)处取微小面积单元dxdy。由式(4)可知,各滚动体与沟道具有相同的接触,将γ(x,y)在椭圆接触区进行积分,可得轴承内圈沟道固体润滑膜体积磨损率w为:As shown in Figure 4, a small area unit dxdy is taken at the point (x, y). It can be known from formula (4) that each rolling element has the same contact with the raceway, and integrating γ(x, y) in the elliptical contact area, the volume wear rate w of the solid lubricating film in the raceway of the inner ring of the bearing can be obtained as:

式中,Ω为滚动体与轴承内圈沟道的椭圆接触区。将式(14)、(16)代入式(18)得到:In the formula, Ω is the elliptical contact area between the rolling element and the inner raceway of the bearing. Substituting equations (14), (16) into equation (18) to get:

式中ai,bi分别为滚动体与轴承内圈沟道椭圆接触区的半长轴和半短轴,下标i表示内圈。In the formula, a i and b i are the semi-major axis and semi-minor axis of the elliptical contact area between the rolling element and the inner raceway of the bearing, respectively, and the subscript i represents the inner ring.

make

参数K3与椭圆接触区形状、轴承工况和轴承几何特性等有关。The parameter K 3 is related to the shape of the elliptical contact area, the working condition of the bearing and the geometric characteristics of the bearing.

此时,式(19)可表示为:At this time, formula (19) can be expressed as:

在稳定磨损阶段可认为固体润滑膜的体积磨损率w1随时间保持不变。此时,式(7)中的参数c=1,取K=K1K3=4.0×10-9。验证真空环境下固体润滑轴承磨损失效模型,需要真空环境下获得寿命试验数据,并依据真空环境下的寿命试验数据获得相应的参数K1、K3、a、b的数值大小,由于实验条件所限,实际在轨固体润滑轴承的工作状况较为复杂,无法在地获得其精确的数值大小,根据统计数据,取a=0.127、b=1.3849。同理,可以求得保持架润滑膜转移量可表示为:In the stable wear stage, it can be considered that the volume wear rate w1 of the solid lubricant film remains unchanged with time. At this time, the parameter c in formula (7)=1, K=K 1 K 3 =4.0×10 −9 . To verify the wear failure model of solid lubricated bearings in a vacuum environment, it is necessary to obtain life test data in a vacuum environment, and obtain the corresponding parameters K 1 , K 3 , a, and b based on the life test data in a vacuum environment. Due to the experimental conditions However, the actual working condition of solid lubricated bearings on orbit is relatively complicated, and its accurate numerical value cannot be obtained locally. According to statistical data, a=0.127 and b=1.3849 are taken. In the same way, the transfer amount of the lubricating film of the cage can be obtained and can be expressed as:

同上,取K2=1.2×10-8、j=0.103、m=1则可以求得:Same as above, take K 2 =1.2×10 -8 , j=0.103, m=1, then it can be obtained:

对应II级和III级的载荷谱块中,第i个谱块的润滑膜的改变量为:Among the load spectrum blocks corresponding to level II and level III, the change amount of the lubricating film of the i-th spectrum block is:

δi=W1-W2 (23)δ i =W 1 -W 2 (23)

将表1对应的前五个阶段截取为II级和III级谱块,Intercept the first five stages corresponding to Table 1 into grade II and grade III spectral blocks,

表2某星载固体润滑轴承前五个阶段截取Table 2 Interception of the first five stages of a certain space-borne solid lubricating bearing

因此可由上式(21)(22)(23)得到:Therefore, it can be obtained by the above formula (21) (22) (23):

δ1=2.5069×10-5-3.0930×10-5=-5.8610×10-6 δ 1 =2.5069×10 -5 -3.0930×10 -5 =-5.8610×10 -6

δ3=4.4105×10-5-3.1727×10-5=1.2379×10-5 δ 3 =4.4105×10 -5 -3.1727×10 -5 =1.2379×10 -5

δ5=0.0011-5.9539×10-4=4.5549×10-4 δ 5 =0.0011-5.9539×10 -4 =4.5549×10 -4

根据在不改变固体润滑轴承失效机理的前提下,根据实际工况,将II和III级谱块合并,使其具有尽可能好的加速效果,在这里我们取轴向载荷20N,转速240rpm作为其合并后工况,则根据式(11)(21)(22)求得加速时间:According to the premise of not changing the failure mechanism of solid lubricated bearings, according to the actual working conditions, the II and III spectrum blocks are combined to make it have the best possible acceleration effect. Here we take the axial load of 20N and the rotational speed of 240rpm as its After the combined working condition, the acceleration time can be obtained according to formula (11)(21)(22):

t=253.5394s=4.2257mint=253.5394s=4.2257min

经历一个周期的时间可等效为5.2257min。最终,固体润滑轴承的加速寿命试验谱如表3示为:The time to go through one cycle can be equivalent to 5.2257min. Finally, the accelerated life test spectrum of solid lubricated bearings is shown in Table 3 as follows:

表3某星载固体润滑轴承加速寿命试验谱Table 3 Accelerated life test spectrum of a spaceborne solid lubricated bearing

通过上述加速寿命试验载荷谱折算方法,可以在不改变固体润滑轴承失效机理的前提下,利用采取的典型工况,将原本六个阶段的固体润滑轴承在轨的载荷历程等效为上述两个典型的阶段,其每个周期所用的总时间也由原来11min减小到了5.2257min,加速效果较为明显,能够较大程度的的加速固体润滑轴承的故障进程,从而获得了有效的加速寿命试验载荷谱。Through the above-mentioned accelerated life test load spectrum conversion method, without changing the failure mechanism of solid lubricating bearings, the load history of the original six stages of solid lubricating bearings on rail can be equivalent to the above two In the typical stage, the total time used for each cycle is also reduced from 11 minutes to 5.2257 minutes, and the acceleration effect is more obvious, which can accelerate the failure process of solid lubricated bearings to a greater extent, thus obtaining an effective accelerated life test load Spectrum.

显然,上述实施例仅仅是为清楚地说明本发明所作的举例,而并非是对本发明的实施方式的限定。对于所属领域的普通技术人员来说,在上述说明的基础上还可以做出其它不同形式的变化或变动。这里无需也无法对所有的实施方式予以穷举。而这些属于本发明的精神所引伸出的显而易见的变化或变动仍处于本发明的保护范围之中。Apparently, the above-mentioned embodiments are only examples for clearly illustrating the present invention, rather than limiting the implementation of the present invention. For those of ordinary skill in the art, other changes or changes in different forms can be made on the basis of the above description. It is not necessary and impossible to exhaustively list all the implementation manners here. And these obvious changes or modifications derived from the spirit of the present invention are still within the protection scope of the present invention.

Claims (4)

1.一种固体润滑轴承加速寿命试验载荷谱设计方法,其特征在于,1. A method for designing a load spectrum of a solid lubricated bearing accelerated life test, characterized in that, 包括以下步骤:Include the following steps: 1)获得固体润滑轴承的在轨工作剖面;通过分析固体润滑轴承中润滑膜的磨损和转移,分别给出镀膜磨损率和保持架润滑材料转移速率与外加应力的关系,得到固体润滑轴承动态复合磨损规律;1) Obtain the on-orbit working section of the solid lubricated bearing; by analyzing the wear and transfer of the lubricating film in the solid lubricated bearing, the relationship between the wear rate of the coating film and the transfer rate of the lubricating material of the cage and the applied stress is respectively given, and the dynamic composite of the solid lubricated bearing is obtained. Wear pattern; 2)将得到的载荷谱块转化为典型载荷谱块;通过直接截取将得到的载荷谱块转化为典型载荷谱块;2) Convert the obtained load spectrum block into a typical load spectrum block; convert the obtained load spectrum block into a typical load spectrum block by direct interception; 3)根据固体润滑轴承的故障机理和动态复合磨损规律,对所述典型载荷谱块进行分级处理。3) According to the failure mechanism and dynamic compound wear law of the solid lubricated bearing, the typical load spectrum blocks are graded. 2.根据权利要求1所述的方法,其特征在于,步骤3)中包括:2. The method according to claim 1, characterized in that step 3) comprises: 对于保持架转移速率高于沟道镀膜磨损速率而导致润滑膜过量的情况和/或保持架转移速率低于沟道镀膜磨损速率而导致润滑膜缺失的载荷谱块进行合并。Load spectrum blocks were combined for cases where the cage transfer rate was higher than the channel coating wear rate resulting in excess lubricant film and/or the cage transfer rate was lower than the channel coating wear rate resulting in loss of lubricant film. 3.根据权利要求1所述的方法,其特征在于,步骤3)中包括:3. The method according to claim 1, characterized in that step 3) comprises: 固体润滑轴承动态复合磨损规律通过如下方式获得:The dynamic composite wear law of solid lubricated bearings is obtained by the following methods: 对于沟道镀膜磨损速率,引入速度和时间来表征滑动距离,得到磨损量公式为:For the wear rate of the channel coating, the speed and time are introduced to characterize the sliding distance, and the wear amount formula is obtained as: 其中W1为沟道镀膜磨损量,p1为压力,v1为滑动速度,t为试验时间,K1、a、b、c都为基于统计数据确定的常数;Among them, W 1 is the wear amount of the channel coating, p 1 is the pressure, v 1 is the sliding velocity, t is the test time, and K 1 , a, b, and c are all constants determined based on statistical data; 通过统计数据拟合出沟道镀膜磨损速率与加速应力之间的关系;考虑到固体润滑轴承常用的加速应力为转速和轴向载荷,此关系表征为:The relationship between the channel coating wear rate and the accelerated stress is fitted by statistical data; considering that the commonly used accelerated stress of solid lubricated bearings is the rotational speed and axial load, this relationship is expressed as: Ioff=F1(V,P) (2)I off =F 1 (V,P) (2) 其中Ioff表示沟道镀膜磨损速率,V和P分别表示转速和轴向载荷应力的幅值;where I off represents the wear rate of the channel coating, and V and P represent the magnitude of the rotational speed and axial load stress, respectively; 基于保持架的磨痕的凹呈椭圆抛物面形,得到保持架润滑膜转移量的表达式:Based on the concavity of the wear scar of the cage in the shape of an elliptical parabola, the expression of the lubricant film transfer amount of the cage is obtained: 其中W2为保持架润滑膜转移量,p2为平均赫兹接触力,D=v2t为滑动距离,K2、j、m为基于统计数据确定的常数,v2为相对滑动速度;Where W 2 is the transfer amount of lubricating film on the cage, p 2 is the average Hertzian contact force, D=v 2 t is the sliding distance, K 2 , j, m are constants determined based on statistical data, and v 2 is the relative sliding speed; 保持架润滑材料转移速率与加速应力之间的关系为:The relationship between the transfer rate of the cage lubricant material and the accelerated stress is: Ibr=F2(V,P) (4)I br =F 2 (V,P) (4) 其中Ibr表示保持架润滑材料转移速率;Where I br represents the transfer rate of the cage lubricating material; 基于(2)式和(4)式得到内外沟道上磨损消耗的润滑膜体积Woff(t)和保持架经滚动体向内外沟道上转移的润滑膜体积Wbr(t),从而得到不同应力下润滑膜厚度的动态表达式,即表征固体润滑轴承动态复合磨损规律:Based on formulas (2) and (4), the volume of lubricating film W off (t) consumed by wear on the inner and outer raceways and the volume of lubricating film W br (t) transferred from the cage to the inner and outer raceways through the rolling elements are obtained, so that different stresses can be obtained The dynamic expression of the thickness of the lubricating film is to characterize the dynamic compound wear law of the solid lubricated bearing: 其中δ为润滑膜厚度,δ0为沟道镀膜初始厚度,A为沟道镀膜面积。Where δ is the thickness of the lubricating film, δ 0 is the initial thickness of the trench coating, and A is the area of the trench coating. 4.根据权利要求2所述的方法,其特征在于,步骤3)中包括:4. The method according to claim 2, characterized in that step 3) comprises: 所述合并的表达式为:The combined expression is: 其中N为典型载荷谱块的个数,Δδi为第i个典型载荷谱块所对应的总的润滑膜改变量,ΔδA为加速载荷谱块对应的润滑膜改变量。Where N is the number of typical load spectrum blocks, Δδ i is the total lubricant film change corresponding to the i-th typical load spectrum block, and Δδ A is the lubricant film change corresponding to the accelerated load spectrum block.
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