摘要
将影响结构低周疲劳寿命的不确定因素视为随机变量,基于可靠性分析理论,从概率论和数理统计的角度出发对随机载荷作用下的结构低周疲劳进行了可靠性分析。利用Neuber法得到低周疲劳结构的随机应力和应变响应。将随机载荷作用下的结构低周疲劳表示为材料参数、结构尺寸、载荷等随机变量的函数,并推导出了功能函数对随机变量偏导的表达式。算例显示了该方法的有效性和适用性。
Treating uncertain factors which affect the low-cycle fatigue life of the structure as random variables, based on reliability analysis theory, the reliability analysis on the low-cycle fatigue reliability of structure under random load was carried out from the point view of probability theory and mathematical statistics. The random stress and strain response of low-cycle fatigue structure were obtained by using Neuber formula. The structure low-cycle fatigue under random load was expressed as a function of random variables such as material parameters, geometrical dimensions, load and etc. , and the expressions for the partial derivative of random variables against performance function were derived. The numerical example shows that the suggested method is both feasible and applicable.
出处
《机械设计》
CSCD
北大核心
2010年第8期79-82,共4页
Journal of Machine Design
基金
教育部博士点基金资助项目(20060183063)
吉林省科技厅基金资助项目(20060538)
关键词
低周疲劳
可靠性
随机载荷
一次二阶矩法
low-cycle fatigue
reliability
random load
first order second moment method