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Reliability robust design of tracked vehicle torque axis with multiple failure modes
LIU Zhe, TAO Fenghe , JIA Changzhi
Artillery Engineering Department, Ordnance Engineering College, Shijiazhuang 050003, China
Received: 2015-04-24; Accepted: 2015-07-17; Published online: 2015-09-17 16:50
Foundation items: National Natural Science Foundation of China (51175508); Natural Science Foundation of Hebei Province (E2012506009)
Corresponding author. Tel.: 0311-87994101 E-mail: fhtao63@126.com
Abstract: Several potential failure modes may occur when tracked vehicle torque axis fail, and therefore it is necessary to take each failure mode into account as reliability sensitivity estimation is performed. A reliability sensitivity analysis method for mechanical components with multiple failure modes is proposed. Concerning the unknown distributions of random variables, the random perturbation technique and the fourth moments method are employed to respectively calculate the first four moments and the reliability index of each performance function of the failure mode. According to the characteristic that the overall fails when a failure mode occurs in mechanical parts, the mechanical parts reliability calculation method with correlation between different failure modes is determined. The calculating formulas of reliability sensitivity with respect to the mean and variance of random variables are derived with the gradient method. According to the result of reliability sensitivity analysis, we put forward the model multi-objective optimization design of mechanical parts with multiple failure modes. The numerical example illustrates that the proposed method could quickly and effectively estimate the reliability sensitivity of the mechanical components with multiple failure modes, and could optimize the mechanical robust design.
Key words: mechanical system     multiple failure modes     fourth moments     sensitivity analysis     robust design

1 可靠性分析

2 可靠性灵敏度分析

3 可靠性稳健设计

4 数值算例

 图 1 扭力轴结构简图 Fig. 1 Structure sketch of torque axis

 随机变量 μ σ C3 C4 d/mm 200 0.6 6.793×10-5 4.662×10-5 l/mm 2500 5.0 5.063 1.368×102 M/(N·mm) 3.5×106 1.75×105 1.736×1015 3.296×1021 T/(N·mm) 3.1×106 1.55×105 1.207×1015 2.028×1021

 可靠度参数 静强度失效 疲劳强度失效 扭转刚度失效 βi 1.9276 2.4062 2.5439 Ri 0.9569 0.9907 0.9915 R 0.9421

εrel=|R-RMCS|/RMCS=0.423%

5 结 论

1) 机械系统零部件的失效模式较少,且出现一种失效模式零部件就失效了,故将零部件的失效看作各种失效模式的串联作用,考虑各失效模式的相关性,建立机械系统零部件多失效模式相关性可靠性分析模型,较独立假设模型更接近工程实际需要。

2) 运用可靠性摄动理论和四阶矩技术获得了机械零部件对结构随机变量参数均值和方差的灵敏度计算公式,应用到履带车辆行走系统的扭力轴上进行灵敏度分析计算,其结果是准确的,表明该公式对机械构件是适用的。

3) 基于可靠性灵敏度分析理论提出多目标优化的稳健性设计方法,应用到履带车辆行走系统扭力轴上进行多目标优化的稳健设计,其结果表明本文方法对机械系统构件的稳健性优化设计是可行的,此方法可以推广到其他机械可靠性优化设计领域,具有一定的指导意义。

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#### 文章信息

LIU Zhe, TAO Fenghe, JIA Changzhi

Reliability robust design of tracked vehicle torque axis with multiple failure modes

Journal of Beijing University of Aeronautics and Astronsutics, 2016, 42(4): 815-820.
http://dx.doi.org/10.13700/j.bh.1001-5965.2015.0253