系统非线性极限状态可靠性分析在汽车关门力上的应用 - SKY外语计算机学习

In this paper, an efficient method for the reliability analysis of systems with nonlinear limit states is described. It combines optimization-based and simulation-based approaches and is particularly applicable for problems with highly nonlinear and implicit limit state functions, which are difficult to solve by conventional reliability methods. The proposed method consists of two major parts. In the first part, anoptimization-based method is used to search for the most probable point (MPP) on the limit state. This is achieved by using adaptive response surface approximations. In the second part, a multi-modal adaptive importance sampling method is proposed using the MPP information from the first part as the starting point. The proposed method is applied to the reliability estimation of a vehicle body-door subsystem with respect to one of the important quality issues -- the door closing effort. The superiority of the proposed method, in terms of efficiency and accuracy, is demonstrated with a numerical example of highly nonlinear limit state problem, as well as an automotive door closing effort application. A generalized framework for reliability estimation is also proposed for problems with large numbers of random variables and complicated limit States.

本文描述了一种对非线性系统极限状态可靠性分析的有效方法。它结合了优化和仿真的方法，尤其适用于高度非线性和隐式极限状态函数的问题，而这些问题用传统的可靠性方法很难解决。该方法包含了俩个主要部分：在第一部分中，我们利用优化的方法去寻找在极限状态下最有可能的点，具体的方法是通过自适应响应表面近似值来获得；在第二部分中，我们提出了多模态自适应重要性抽样方法，并且把第一部分获得的MPP信息作为起始点。这种方法被用于汽车车身车门子系统的可靠性估计，主要去解决关门力这一非常重要的汽车质量问题。这种方法的优越性体现在高效和精确俩方面。另外，我们通过对高度非线性极限状态问题的数字实例分析和其在汽车关门力方面的应用来说明这一优越性。除此之外，针对大量随机变量和复杂极限状态，我们还提出了一种通用的框架用来解决可靠性估计问题。