基于随机响应面法的可靠性灵敏度分析及可靠性优化设计

Reliability sensitivity analysis and reliability-based design optimization based on stochastic response surfaces method

基于随机响应面法建立了可靠性灵敏度分析方法,并将其用于结构可靠性优化设计。建立的方法利用随机响应面法将隐式的结构响应函数转换成显式函数,在显式的响应函数基础之上求解失效概率和进行可靠性灵敏度分析,得到的可靠性灵敏度能为基于函数梯度的优化算法提供梯度信息。算例表明,本文提出的可靠性灵敏度分析方法具有较高的效率和精度,提高了结构可靠性优化设计的效率。

A reliability sensitivity analysis method is established on the basis of Stochastic Response Surfaces Method （SRSM）, and it is applied to reliability-based design optimization. The implicit structural response function is transformed to an explicit one by SRSM in the present method, then structure failure probability and reliability sensitivity can be obtained from the explicit response function. Furthermore, the reliability sensitivity can also provide gradient information for gradient based optimization algorithm. Two examples demonstrate high efficiency and high precision of the present reliability sensitivity method, on which the design efficiency of the reliability-based design optimization is improved.