基于功率谱分割的随机振动疲劳寿命估算方法

doi:10.7527/S1000-6893.2024.30265

Abstract

Abstract:

In the presence of sustained random vibration loads， mechanical structures easily induce their own partial-order modes， leading to resonance and fatigue failure. Life expectancy analysis effectively prevents structural fatigue failure， exhibiting important engineering significance. Diverging from traditional approaches that establish empirical models based on probability density functions， this study focuses on the power spectral density segmentation. Combining theoretical derivation and numerical simulation， the research explores the dividing criteria for power spectral density resonance and non-resonance regions， investigates the impact of segmentation forms on damage estimation， and explores the coupling effects among multi-modal responses. The results indicate that considering only the power spectral density resonance region enhances damage estimation accuracy. The segmentation form has no effect on damage estimation. The proposed expression for multi-modal coupled damage estimation demonstrates superior applicability to random vibration fatigue compared to commonly used Dirlik and T-B methods.

Key words: vibration fatigue, power spectrum segmentation, resonance region, multimodal response, mode coupling

CLC Number:

V324.95

Shougen ZHAO, Xianhao WANG, Ruili XIE, Ming LI, Wei CHENG. Fatigue life estimation method for random vibration based on power spectral density segmentation[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(23): 230265.

Figures/Tables 23

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References 21

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分割方式	损伤值/s^-1	参考频率中心/Hz	分割数量	计算时间/s
等频率	5.87×10^-6	27.61	25	4.20
等能量	5.86×10^-6	27.60	21	12.43
等带宽系数	5.89×10^-6	27.71	4	32.44
等损伤	5.84×10^-6	27.50	7	29.37

牌号	100	200	300	400	500	600
均值	-0.15	-0.15	-0.15	-0.15	-0.15	-0.15
标准差	0.06	0.06	0.06	0.06	0.06	0.06

系数	r₁	r₂	r₃	r₄	确定系数
a₁₁	0.000 0	0.000 3	-0.006 9	-0.008 1	0.998 7
a₂₁	-0.000 5	0.006 3	-0.005 5	0.134 9	0.996 9
a₃₁	0.001 8	-0.028 3	0.092 8	-0.360 5	0.995 5
a₄₁	-0.001 8	0.036 1	-0.204 3	0.393 9	0.997 4
a₁₂	-0.002 9	0.055 2	-0.304 5	0.658 6	0.986 3
a₂₂	0.017 3	-0.334 0	1.819 8	-3.871 4	0.984 6
a₃₂	-0.033 9	0.666 4	-3.600 2	7.117 7	0.986 9
a₄₂	0.023 2	-0.490 1	3.005 8	-5.035 5	0.990 9
a₁₃	0.009 2	-0.175 7	0.991 1	-1.908 7	0.983 3
a₂₃	-0.053 0	1.024 2	-5.742 4	10.962 6	0.981 6
a₃₃	0.098 0	-1.925 8	10.780 2	-19.756 8	0.983 0
a₄₃	-0.059 8	1.232 9	-7.523 0	12.641 1	0.989 8
b₁₁	0.011 6	-0.258 1	1.616 9	-2.485 5	0.977 1
b₂₁	-0.045 2	1.027 3	-6.375 7	8.934 0	0.986 8
b₃₁	0.041 2	-0.997 7	6.162 0	-6.674 1	0.991 5
b₄₁	0.003 2	-0.024 9	0.231 8	-6.418 3	0.993 5
b₁₂	-0.045 7	0.940 7	-5.679 3	9.653 6	0.979 8
b₂₂	0.232 8	-4.796 5	28.606 9	-47.471 1	0.982 3
b₃₂	-0.364 0	7.545 5	-44.459 6	70.243 7	0.986 3
b₄₂	0.172 1	-3.637 9	22.259 2	-28.668 8	0.990 4

阶次	频率/Hz
阶次	8 mm	10 mm	12 mm	14 mm	16 mm
1阶	22.48	21.01	19.12	17.86	16.82
2阶	121.58	112.39	103.26	96.54	90.97
3阶	307.80	285.95	243.46	212.47	186.87
4阶	333.20	301.61	282.46	268.13	253.10
5阶	883.24	850.61	785.74	745.53	712.10
6阶	1 613.40	1 590.90	1 540.80	1 508.00	1 477.10

幅值序号	加速度功率谱密度/（g²·Hz^-1）
	单模态	双模态		三模态
	低频	低频	高频	低频	中频	高频
1	0.005	0.003	1	0.002	1	5
2	0.010	0.005	2	0.005	2	10
3	0.015	0.008	5	0.008	5	25
4	0.020	0.010	10	0.010	10	50
5	0.025	0.012	15	0.012	15	75

Fatigue life estimation method for random vibration based on power spectral density segmentation

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