• 机械基础工程 •

### 非独立区间变量和随机变量下的单步可靠性计算方法

1. 浙江工业大学,杭州,310014
• 出版日期:2016-09-25 发布日期:2016-09-22
• 基金资助:
国家自然科学基金资助项目（51475425,51075365）

### An One-step Reliability Analysis Method with Random and Dependent Interval Variables

Pan Baisong;Xie Shaojun;Jiang Lizheng

1. Zhejiang University of Technology,Hangzhou,310014
• Online:2016-09-25 Published:2016-09-22
• Supported by:

Abstract: Random variables and dependent interval variables often coexisted, and this made the reliability analysis problem into a double-loop optimization problem and reduces the efficiency of the reliability analysis. So an one-step reliability analysis method was proposed. Specifically, the double-loop optimization problem where the dependent interval variables were modelled by the ellipsoid model, was decoupled into a simple one-step problem by using the HDMR. Based on the proposed sampling strategy, a quadratic polynomial was applied to approximate each of the HDMR expression, making the implicit one-step problem into the explicit one. The example results show that the proposed method has good efficiency and accuracy, and may calculate the reliability results with good accuracy at a little cost of calling the origin limit-state function.