随机疲劳评估的反应谱法及工程应用

doi:10.7527/S1000-6893.2025.31473

Abstract

Abstract:

To address efficient prediction of structural fatigue life under random excitation， a 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 with its 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. Then， the dimensionless FDRS is constructed， with the spatial characteristics of the structure， such as 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， analysis of numerical examples is carried out based on engineering application of the FRSM to vibration and acoustic fatigue problems， demonstrating the advantage of the method in dealing with large-scale engineering problems. The results show 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 avoidance of calculation of intermediate variables such as PSD function and spectral moment.

Key words: high-cycle fatigue, random vibration, frequency domain method, fatigue response spectrum method, fatigue damage response spectrum

CLC Number:

Guohao SUI, Yahui ZHANG. Response spectrum method for random fatigue assessment and its engineering applications[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(14): 231473.

Figures/Tables 17

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方法	最大期望损伤率/10^-5	相对误差/%
RFC法	1.198
Dirlik法	1.265	5.59
T-B法	1.297	8.26
单矩法	1.198	0.00
FRSM CQC	1.198	0.00
FRSM SRSS	1.193	-0.42
FRSM c-SRSS	1.198	0.00

方法	计算耗时 /s
Dirlik法	3 307.19
T-B法	3 243.98
单矩法	3 178.55
FRSM CQC	31.92
FRSM SRSS	0.06
FRSM c-SRSS	6.78

方法	最大期望损伤率/10^-8	相对误差/%
RFC法	8.640
Dirlik法	9.030	4.51
T-B法	9.022	4.42
单矩法	9.038	4.61
FRSM CQC	9.038	4.61
FRSM SRSS	9.085	5.15
FRSM c-SRSS	9.038	4.61

方法	计算耗时 /s
方法	计算PSD	疲劳寿命评估	总时间
Dirlik法	4 525.38	202.20	4 727.58
T-B法		172.52	4 697.90
单矩法		74.74	4 600.12
FRSM CQC		126.36	126.36
FRSM SRSS		1.32	1.32
FRSM c-SRSS		45.45	45.45

Response spectrum method for random fatigue assessment and its engineering applications

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