多级载荷作用下剩余强度模型的结构元件疲劳可靠性分析

基金项目:

国家自然科学基金项目(51175398)资助

Analysis of the Fatigue Reliability for Structural Element under Multi-level Loads Based on the Residual Strength Model

摘要: 对于多级载荷作用下的结构元件,利用剩余强度模型分析其疲劳可靠性问题。首先运用等强度退化量原理推导出多级载荷下的剩余强度模型公式,并从此公式出发利用矩法得到剩余强度随载荷循环数下的均值和方差,其中考虑了等效作用次数的随机性。最后利用得到的剩余强度的数字特征,基于其满足正态分布的假设,根据一次二阶矩法计算出结构元件的疲劳可靠度。通过算例考察了本文方法的可行性和有效性。
- 多级载荷 /
- 剩余强度 /
- 矩法 /
- 疲劳可靠性 /
- 一次二阶矩法
Abstract: For structural element under multi-level loads, the fatigue reliability has been analyzed based on the re-sidual strength model.Firstly, residual strength formula considered multi-level loads is derived by principle of equal strength degradation, and from this formula using moments method the mean and variance of residual strength with load cycles can be obtained, when takes into account the randomness of the number of equivalent role.Final-ly, using the numerical characteristics of residual strength, based on the assumptions of normal distribution, fatigue reliability can be calculated by FOSM method.The feasibility and effectiveness of method is investigated.through an example.
- mathematical models /
- fatigue of materials /
- reliability /
- multi-level Loads /
- residual strength

[1]	姚卫星.结构疲劳寿命分析[M].北京:国防工业出版社,2003
[2]	王正,王增全,何洪.随机载荷循环作用下的机械结构疲劳寿命预测模型[J].中国机械工程,2012,23(1):98～101
[3]	Fang Y F,Chen J J.Analysis of structural dynamic reliability un-der together stochastic loads[J].Journal of Applied Mechanics and Technology Physics,2012,53(3):307～316
[4]	Liu Y M,Sankaran Mahadevan.Multiaxial high-cycle fatigue cri-terion and life prediction for metals[J].International Journal of Fatigue,2005,27:790～800
[5]	Santus C,Taylor D.Physically short crack propagation in metals during high cycle fatigue[J].International Journal of Fatigue,2009,31:1356～1365
[6]	熬波,张定华,赵歆波等.多级载荷作用下剩余强度的估算 [J].机械强度,2007,29(3):463～467
[7]	Schaff J R,Davidson B D.Life prediction methodology for com-posite structures,Part I-constant amplitude and two-stress level fatigue[J].Journal of Composite Materials,1997,31(2): 128～157
[8]	谢金标,姚卫星.疲劳 S-N 曲线拟合的双加权最小二乘法[J].宇航学报,2010,31(6):1661～1665
[9]	赵永翔,杨冰.不完善概率疲劳 S-N 曲线的 Monte-Carlo 修正 [J].机械工程学报,2011,47(12):170～174
[10]	李莉,谢里阳,何雪宏,郝广波.疲劳加载下金属材料的强度退化规律[J].机械强度,2010,32(6):967～971