摘要
提出利用线性凸区概率的组合,计算结构可靠性的新方法,从而以较好的精度实现设计点附近非线性程度较高时结构可靠性的计算。以重要抽样方向为进给方向,以通过设计点和主线性逼近极限状态超平面与坐标轴的交点的方向为搜索次线性化点方向,构建线性凸区。利用事件概率方法,推导了线性凸区可靠性的计算方法,进而获得以线性凸区可靠性的组合计算结构可靠性的近似方法。算例表明方法简单可行,有效实用,具有较高的计算精度。
A new method for computing structural reliability using the combination of the linear convex areas probability was put forward to realize the high nonlinear reliability calculation nearby the design point. Linear convex areas were built using the important sampling direction as feed direction, and the intersection direction between main linear approximation limit hyperplane and the designed point. The calculation method of linear convex area reliability was derived using the event probability method. Therefore, the approximate structural reliability method was calculated obtained by the reliability combination of linear convex areas. The numerical examples showed that this method was simple and feasible, effective and practical The calculation precision was relative high.
出处
《机械设计》
CSCD
北大核心
2016年第8期48-52,共5页
Journal of Machine Design
关键词
非线性功能函数
线性凸区
线性逼近
可靠性计算
nonlinear performance function
linear convex region
linear approximation
reliability calculation
