引用本文: | 刘喆,陶凤和,贾长治.考虑载荷作用次数的多失效模式扭力轴灵敏度分析[J].国防科技大学学报,2016,38(5):176-182.[点击复制] |
LIU Zhe,TAO Fenghe,JIA Changzhi.Sensitivity analysis of torque axis considering times of load action with multiple failure modes[J].Journal of National University of Defense Technology,2016,38(5):176-182[点击复制] |
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考虑载荷作用次数的多失效模式扭力轴灵敏度分析 |
刘喆, 陶凤和, 贾长治 |
(军械工程学院 火炮工程系, 河北 石家庄 050003)
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摘要: |
机械构件的不同的失效模式之间具有一定的相关性,而且随机载荷作用次数对机械构件的可靠性有一定程度的影响。因此对机械构件进行可靠性灵敏度分析时,需要充分考虑其不同失效模式和载荷作用次数的影响。通过运用顺序统计量理论考虑载荷多次作用以及多种失效模式条件下机械构件可靠性及可靠性灵敏度的变化规律,运用随机摄动理论和四阶矩技术,建立一种考虑载荷作用次数的多失效模式机械构件可靠性灵敏度分析数值方法的应力强度干涉模型。在随机变量前四阶矩已知的情况下,结合灵敏度分析的梯度算法,推导出关于随机变量均值和方差的灵敏度计算公式。以某履带车辆底盘扭力轴为例进行计算,得到其可靠度随载荷作用次数、随机变量均值和方差而改变的可靠性灵敏度变化曲线,为扭力轴的可靠性优化提供一定的理论依据。研究成果可以推广到相关机械可靠性灵敏度设计和结构优化领域,具有非常重要的实用意义。 |
关键词: 载荷作用次数 多失效模式 四阶矩技术 扭力轴 灵敏度分析 |
DOI:10.11887/j.cn.201605028 |
投稿日期:2015-10-11 |
基金项目:国家自然科学基金资助项目(51175508);河北省自然科学基金资助项目(E2012506009) |
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Sensitivity analysis of torque axis considering times of load action with multiple failure modes |
LIU Zhe, TAO Fenghe, JIA Changzhi |
(Department of Mechanical Engineering, Mechanical Engineering College, Shijiazhuang 050003, China)
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Abstract: |
Several potential failure modes may occur when mechanical components fail, and they have several correlation in some way. For that the conditions of times of load action have an impact on the reliability of mechanical components. Thus it is necessary to take all the failure modes and times of load action into account when analyzing the mechanical reliability sensitivity. Combining the order statistic theory to study the influence of times of load action on the reliability and sensitivity calculation, and applying the probabilistic perturbation method, the research built a reliability calculation model of mechanical components with multiple failure modes and times of load action modes using the stress-strength interference mode. The calculating formulas of reliability sensitivity with respect to the mean and variance of random variables were derived with the gradient method. According to the result of the torque axis reliability sensitivity analysis, the curves of reliabilities and sensitivities can be obtained, and the production can be very useful if it is extended to correlated area of machine sensitivity design. |
Keywords: times of load action multiple failure modes fourth-moment technique torque axis sensitivity analysis |
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