Distribution reconstruction and reliability assessment of complex LSFs via an adaptive Non-parametric Density Estimation Method

IF 9.4 1区工程技术 Q1 ENGINEERING, INDUSTRIAL

Reliability Engineering & System Safety Pub Date : 2024-10-30 DOI:10.1016/j.ress.2024.110609

Quanfu Yu , Jun Xu

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引用次数: 0

Abstract

Complex limit state functions (LSFs), often characterized by strong nonlinearity, non-smoothness, or discontinuity, pose challenges for structural reliability analysis in engineering practices. Conventional methods for uncertainty propagation and reliability assessment may struggle to handle these issues effectively. This paper introduces a novel approach to adaptively reconstruct the unknown distributions of complex LSFs. The Non-parametric Density Estimation Method based on Harmonic Transform (NDEM-HT) is employed as the tool for this purpose. An adaptive strategy is then proposed to determine the number of harmonic moments required in NDEM-HT for achieving high accuracy. Specifically, the Adaptive Kernel Density Estimation (AKDE) method is also adopted to provide an initial estimation of the rough distribution. Subsequently, the optimal number of harmonic moments is determined by minimizing the relative entropy between the distributions obtained by AKDE and NDEM-HT. The efficacy of the proposed method is demonstrated through five numerical examples, considering various types of complex LSFs. Comparative results are also provided employing MCS along with both conventional and state-of-the-art methods.

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通过自适应非参数密度估计法重建复杂 LSF 的分布和可靠性评估

复杂的极限状态函数（LSFs）通常具有很强的非线性、非平稳性或不连续性，给工程实践中的结构可靠性分析带来了挑战。传统的不确定性传播和可靠性评估方法可能难以有效处理这些问题。本文介绍了一种自适应重建复杂 LSF 未知分布的新方法。为此，本文采用了基于谐波变换的非参数密度估计方法（NDEM-HT）作为工具。然后提出了一种自适应策略，以确定 NDEM-HT 所需的谐波矩数量，从而实现高精度。具体来说，还采用了自适应核密度估计（AKDE）方法来提供粗略分布的初始估计。随后，通过最小化 AKDE 和 NDEM-HT 所得分布之间的相对熵，确定谐波矩的最佳数量。考虑到各种类型的复杂 LSF，通过五个数值示例展示了所提方法的功效。此外，还提供了 MCS 与传统方法和最先进方法的比较结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Reliability Engineering & System Safety 管理科学-工程：工业

CiteScore

15.20

自引率

39.50%

发文量

621

审稿时长

67 days

期刊介绍： Elsevier publishes Reliability Engineering & System Safety in association with the European Safety and Reliability Association and the Safety Engineering and Risk Analysis Division. The international journal is devoted to developing and applying methods to enhance the safety and reliability of complex technological systems, like nuclear power plants, chemical plants, hazardous waste facilities, space systems, offshore and maritime systems, transportation systems, constructed infrastructure, and manufacturing plants. The journal normally publishes only articles that involve the analysis of substantive problems related to the reliability of complex systems or present techniques and/or theoretical results that have a discernable relationship to the solution of such problems. An important aim is to balance academic material and practical applications.