隐式结构可靠性灵敏度分析  

Reliability sensitivity analysis for implicit structure

作　　者：陈鹏霏[1] 于泰龙 和鹏 贺宇新[2] CHEN Pengfei;YU Tailong;HE Peng;HE Yuxin(School of Mechatronic Engineering, Changchun University of Technology, Changchun 130012, China;School of Electrical and Mechanical, Changchun Polytechnic, Changchun 130033, China)

机构地区：[1]长春工业大学机电工程学院,吉林长春130012 [2]长春职业技术学院机电学院,吉林长春130033

出　　处：《长春工业大学学报》2020年第5期461-467,共7页Journal of Changchun University of Technology

基　　金：吉林省教育厅基金资助项目(JJKH20191300KJ)。

摘　　要：基于验算点法,首先选择结构失效域内一点(或者均值点)作为初始点,计算其功能函数值和对应的梯度值,以及该点处的可靠度指标值;而后基于Taylor展开法获得过该点的线性化状态方程以及对应的可靠度指标和重要度系数。沿该点的梯度方向搜索靠近极限状态表面的抽样点,以前、后两点的可靠度指标值之差作为判定准则,获得极限状态表面上距离均值点最近的点,将其作为验算点;最后,以过验算点的超平面来近似替代结构的极限状态表面,计算其可靠度和可靠性灵敏度。通过了工程算例分析。Based on checking point method,a point(or mean point)in the failure domain of the structure is selected as the initial point to calculate its function value,corresponding gradient and reliability index.Then the linearization state equation of the point is obtained based on Taylor expansion method to get the reliability index and importance coefficient.Next sampling point closed to the surface of the limit state is searched along the gradient direction of the point,and the reliability index difference between the two points is taken as the judgment criterion to obtain the point most closing to the mean point as checking point.The extreme state surface of the structure is replaced with the hyper plane passing the checking point to calculate its reliability and reliability sensitivity.Engineering examples are analyzed.

关 键 词：一次可靠性分析 验算点法 隐式结构可靠性 

分 类 号：TB114.3[理学—概率论与数理统计]