随机疲劳评估的反应谱法及工程应用

隋国浩; 张亚辉

doi:10.7527/S1000-6893.2025.31473

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DOI: https://doi.org/10.7527/S1000-6893.2025.31473

随机疲劳评估的反应谱法及工程应用

隋国浩 ,
张亚辉

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大连理工大学

收稿日期: 2024-10-31

修回日期: 2025-01-14

网络出版日期: 2025-01-16

基金资助

国家自然科学基金;国家自然科学基金

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Response spectrum method and its engineering application for random fatigue assessment

SUI Guo-Hao ,
ZHANG Ya-Hui

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Received date: 2024-10-31

Revised date: 2025-01-14

Online published: 2025-01-16

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摘要

针对随机载荷作用下结构疲劳寿命高效预示这一工程问题，构造了量化模态响应对结构总疲劳损伤贡献的疲劳损伤反应谱，推导了结构疲劳寿命与固有频率、应力振型等结构特征间的显式关系，建立并梳理了疲劳反应谱法这一高效求解体系。首先基于随机振动理论，从频域疲劳寿命评估的单矩法与功率谱密度函数分解策略这两个方面，对疲劳反应谱法的建立进行论述，给出了三种疲劳反应谱法的计算格式。其次，从模态响应对结构总疲劳损伤贡献中分离反映结构空间特征的应力振型以及振型参与系数，构造无量纲疲劳损伤反应谱，并提出了可行的数据库建立策略。最后，基于疲劳反应谱法在振动疲劳与声疲劳问题中的应用开展算例分析，论证了疲劳反应谱法解决大规模工程问题的能力。结果表明了疲劳反应谱法与雨流计数法、Dirlik法、T-B法等经典方法在精度方面的一致性，并且，由于避免了功率谱密度函数与谱矩等中间变量的计算，疲劳反应谱法能够将随机疲劳评估效率提升2-3个量级不等。

关键词： 高周疲劳; 随机振动; 频域方法; 疲劳反应谱法; 疲劳损伤反应谱

本文引用格式

隋国浩 , 张亚辉 . 随机疲劳评估的反应谱法及工程应用[J]. 航空学报, 0 : 1 -0 . DOI: 10.7527/S1000-6893.2025.31473

Abstract

To address efficient prediction of structural fatigue life under random excitation, the fatigue response spectrum method (FRSM), a high-efficiency algorithm, is established and organized. In the proposed method, a fatigue damage response spectrum (FDRS) is constructed to quantify the contribution of modal response to the total fatigue damage of the structure, and an explicit relationship is deduced to connect the fatigue life of the structure and structural characteristics, such as the natural frequency and the stress mode shape. Firstly, based on the theory of random vibration, the establishment of the FRSM is discussed in terms of the single moment method and the power spectral density (PSD) decomposition strategy of the fatigue life assessment in the frequency domain, and three calculation formats of the FRSM is provided. Then, the dimensionless FDRS is constructed, with the spatial characteristics of the structure (the stress mode and the modal participation coefficient) separated from the modal contribution to the total fatigue damage, and a feasible database establishment strategy is proposed. Finally, numerical examples are carried out based on the engineering application of the FRSM to vibration and acoustic fatigue problems, demonstrating its advancement in dealing with large-scale engineering problems. The result shows that the accuracy of the FRSM is consistent with that of classical methods such as the rainflow counting method, Dirlik method, and T-B method, and the efficiency can be improved by 2-3 orders of magnitude due to the avoidance of the PSD functions as well as the spectral moments.

Key words： High-cycle fatigue; Random vibration; Frequency domain method; Fatigue response spectrum method; Fatigue damage response spectrum

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