Reliability Evaluation Method of Degraded Structures Based on Random Distribution Characteristics

doi:10.12068/j.issn.1005-3026.2024.10.007

Abstract

Abstract:

To solve such problems as inaccurate results and sensitivity to model parameters in structural reliability evaluation based on random load and strength degradation， a modeling method based on random distribution characteristics was proposed. The distribution characteristics of random load were considered， and the load-strength model and stochastic process theory were used to improve the accuracy of reliability calculation. Taking the counting model of random load as the Poisson process for example， the distribution characteristics of random load arrival time were analyzed and proved. Based on this， the reliability formula of the first load was derived， and the calculation formula of structural reliability was derived theoretically according to the total probability formula. An example analysis showed that the proposed method is consistent with Monte Carlo simulation results， which verifies the correctness of the proposed method and improves the accuracy of reliability calculation compared with the other methods.

Key words: structural reliability, random distribution, degraded structure, load-strength model, Monte Carlo

CLC Number:

TH 122

Zai-you YANG, Hao LYU, Ya-ping ZHAO. Reliability Evaluation Method of Degraded Structures Based on Random Distribution Characteristics[J]. Journal of Northeastern University(Natural Science), 2024, 45(10): 1417-1424.

Figures/Tables 12

References 16

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转数×10^-4	MC仿真可靠度	文献[12]		本文方法		文献[13]
转数×10^-4	MC仿真可靠度	可靠度	RE/%	可靠度	RE/%	可靠度	RE/%
2	0.974 559	0.974 022	0.06	0.974 558	0	0.616 038	36.79
5	0.971 183	0.966 536	0.48	0.971 192	0	0.891 471	8.21
8	0.968 472	0.950 476	1.86	0.968 547	-0.01	0.950 808	1.82

转数×10^-4	MC仿真可靠度	文献[12]		本文方法		文献[13]
转数×10^-4	MC仿真可靠度	可靠度	RE/%	可靠度	RE/%	可靠度	RE/%
2	0.974 559	0.974 022	0.06	0.974 558	0	0.616 038	36.79
5	0.971 183	0.966 536	0.48	0.971 192	0	0.891 471	8.21
8	0.968 472	0.950 476	1.86	0.968 547	-0.01	0.950 808	1.82

参数	数值	来源
D₀/ GPa	1.5	文献[14]
β_d1/（GPa·r^-1）	5×10^-6	近似假设
β_d2/（GPa·r^-1）	1×10^-5	对比假设
μ/ GPa	1.2	文献[13]
σ/ GPa	0.2	文献[13]
λ₁/ r	6×10^-5	对比假设
λ₂/ r	5×10^-5	文献[14]

参数	数值	来源
D₀/ GPa	1.5	文献[14]
β_d1/（GPa·r^-1）	5×10^-6	近似假设
β_d2/（GPa·r^-1）	1×10^-5	对比假设
μ/ GPa	1.2	文献[13]
σ/ GPa	0.2	文献[13]
λ₁/ r	6×10^-5	对比假设
λ₂/ r	5×10^-5	文献[14]

转数×10^-4	MC仿真可靠度	文献[12]		本文方法		文献[13]
转数×10^-4	MC仿真可靠度	可靠度	RE/%	可靠度	RE/%	可靠度	RE/%
3	0.262 698	0.257 366	2.03	0.262 732	0.01	0.204 109	22.30
6	0.083 124	0.074 339	10.57	0.083 143	0.02	0.079 004	4.94
9	0.020 184	0.015 242	24.48	0.020 181	0.01	0.019 957	1.12