Frequency-domain analysis and dynamic reliability assessment of random vibration for non-classically damped linear structure under non-Gaussian random excitations

IF 9.4 1区工程技术 Q1 ENGINEERING, INDUSTRIAL

Reliability Engineering & System Safety Pub Date : 2025-06-19 DOI:10.1016/j.ress.2025.111363

Xiangqian Sheng , Kuahai Yu , Wenliang Fan , Shihong Xin

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Abstract

Frequency domain analysis is the important component in the random vibration analysis. However, frequency domain analysis for the non-classically damped linear structure under non-Gaussian random excitations remains a challenge. Thus, this paper establishes a unified computational framework of higher-order moment spectra of response, and performs reliability assessment based on moment spectra of response. Firstly, the theoretical expressions of the higher-order moment spectra of response are deduced by the complex mode superposition method and the generalized impulse response function. Secondly, the expressions of the higher-order moment spectra of response are reconstructed with the help of responses for the harmonic excitation. Subsequently, the dynamic reliability is estimated based on the approximation joint probability density function which is constructed through the unified Hermite polynomial model and Gaussian Copula function. Finally, two numerical examples are investigated to verify the accuracy and efficiency of the calculation method of response the higher-order moment spectra and the dynamic reliability.

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非高斯随机激励下非经典阻尼线性结构随机振动频域分析及动力可靠性评估

频域分析是随机振动分析的重要组成部分。然而，非高斯随机激励下非经典阻尼线性结构的频域分析仍然是一个挑战。因此，本文建立了统一的高阶响应矩谱计算框架，并基于响应矩谱进行可靠性评估。首先，利用复模态叠加法和广义脉冲响应函数推导了高阶响应矩谱的理论表达式；其次，借助谐波激励的响应，重构了响应的高阶矩谱表达式。然后，通过统一的Hermite多项式模型和高斯Copula函数构造近似联合概率密度函数，对系统的动态可靠性进行估计。最后，通过两个算例验证了高阶矩谱响应计算方法和动力可靠度计算方法的准确性和有效性。

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.