并联结构系统可靠性分析的非概率等效平面法  

Non-probabilistic equivalent planes method for reliability analysis of parallel structural systems

作　　者：乔心州[1] 赵悦 刘鹏[1] 方秀荣[1] QIAO Xinzhou;ZHAO Yue;LIU Peng;FANG Xiurong(College of Mechanical Engineering,Xi’an University of Science and Technology,710054,Xi’an,China)

机构地区：[1]西安科技大学机械工程学院,西安710054

出　　处：《应用力学学报》2021年第6期2346-2352,共7页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(51775427);陕西省自然科学基础研究计划项目(2019JQ-796);陕西省教育厅专项科研计划项目(18JK0506)。

摘　　要：采用椭球模型描述结构不确定变量,提出一种并联结构系统可靠性分析的非概率等效平面法。首先,基于两个极限状态平面等效为一个极限状态平面的思想,给出等效非概率可靠性指标和等效单位法向量的解析公式;其次,考虑到等效过程受失效模式排序的影响,提出一种按失效模式相关系数从大到小排序的自适应组合策略;最后,通过一个数值算例和一个工程算例验证文中方法有效可行。A non-probabilistic equivalent planes method(NEPM) for reliability analysis of parallel structural systems is proposed in which uncertain variables are described by an ellipsoid model. Based on the consideration that two limit state planes are equivalent to one limit state plane, the analytic formulas of equivalent non-probabilistic reliability index and equivalent unit normal vector are first given respectively. An adaptive combining strategy with a descending order of the correlation coefficients of two failure modes is then proposed to obtain a more precise solution. Finally, a numerical example and an engineering example are provided to demonstrate the effectiveness and feasibility of the proposed method.

关 键 词：并联结构系统 可靠性分析 非概率等效平面法 自适应策略 

分 类 号：TB14.3[一般工业技术]