Open Access

ARTICLE

AWK-TIS: An Improved AK-IS Based on Whale Optimization Algorithm and Truncated Importance Sampling for Reliability Analysis

Qiang Qin^1,2,*, Xiaolei Cao¹, Shengpeng Zhang¹
1 Aerospace Science and Industry Corporation Defense Technology Research and Test Center, Beijing, 100854, China
2 Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics, Tsinghua University, Beijing, 100084, China
* Corresponding Author: Qiang Qin. Email:
(This article belongs to this Special Issue: Computer-Aided Structural Integrity and Safety Assessment)

Computer Modeling in Engineering & Sciences 2023, 135(2), 1457-1480. https://doi.org/10.32604/cmes.2023.022078

Received 20 February 2022; Accepted 29 June 2022; Issue published 27 October 2022

Abstract

In this work, an improved active kriging method based on the AK-IS and truncated importance sampling (TIS) method is proposed to efficiently evaluate structural reliability. The novel method called AWK-TIS is inspired by AK-IS and RBF-GA previously published in the literature. The innovation of the AWK-TIS is that TIS is adopted to lessen the sample pool size significantly, and the whale optimization algorithm (WOA) is employed to acquire the optimal Kriging model and the most probable point (MPP). To verify the performance of the AWK-TIS method for structural reliability, four numerical cases which are utilized as benchmarks in literature and one real engineering problem about a jet van manipulate mechanism are tested. The results indicate the accuracy and efficiency of the proposed method.

---

Keywords

Structural reliability; active kriging; whale optimization algorithm; AK-IS

---