摘要
针对工程中广泛存在的隐式极限状态函数可靠性灵敏度分析问题,提出用含有交叉项的二次多项式响应面函数代替结构的真实响应,从而得到极限状态函数的显式表达式,再用一次二阶矩法对结构进行可靠性灵敏度分析的方法,得到了基本随机变量分布参数的变化引起的可靠性的变化率信息。因为用响应面方法获取的极限状态函数的显式表达式具有统一的形式,故所推导的可靠性灵敏度计算公式具有通用性。
For reliability sensitivity analysis of implicit limit state function, a reliability sensitivity analysis method is proposed. In this method, quadric polynomial response surface function containing cross-term is used to replace the real response so that the explicit expression of the limit state function is obtained. Then, First Second Order Moment （FSOM） method is used in reliability sensitivity analysis and the information of reliability change rate caused by the change of the distribution parameters of basic random variables is obtained. The method is proved to be feasible by an example, and the relevant calculation formulae are given. Since the unified explicit expression of the limit state function obtained by Response Surface Method （RSM） is of generalized form, the calculation formulae for this reliability sensitivity analysis method are universal.
出处
《机械科学与技术》
CSCD
北大核心
2009年第5期648-651,共4页
Mechanical Science and Technology for Aerospace Engineering
基金
航空推进技术验证计划项目(APTD-1001A-01)资助
关键词
可靠性灵敏度分析
响应面法
一次二阶矩法
极限状态函数
reliability sensitivity analysis
response surface method （RSM）
first second order moment （FSOM） method
limit state function
