A Wiener degradation process with drift‐based approach of determining target reliability index of concrete structures

Quality and Reliability Engineering International - Tập 38 Số 7 - Trang 3710-3725 - 2022
Zhenhao Zhang1,2, Gaoming Liang2, Qinglei Niu2, Fuming Wang1,2, Jigong Chen2, Bing Zhao2, Lu Ke3,1
1Guangxi Key Laboratory of Disaster Prevention and Engineering Safety, Guangxi University, Nanning, China
2School of Civil Engineering, Changsha University of Science and Technology, Changsha, China
3College of Civil Engineering and Architecture, Guangxi University, Nanning, China

Tóm tắt

AbstractIn this paper, a novel approach is proposed to determine target reliability index based on modeling performance degradation of concrete structures as a stochastic process. First, the Wiener process with drift is used to simulate the degradation process of relative dynamic elastic modulus of concrete, and the drift coefficient and diffusion coefficient of Wiener process are estimated according to the experimental data of degradation of relative dynamic elastic modulus. Then, based on the relations between concrete compressive strength, dynamic elastic modulus, and relative dynamic elastic modulus, the relationship between compressive strength and the amount of degradation of relative dynamic elastic modulus are deduced, and then, the statistical parameters of concrete compressive strength under different service time can be calculated. Finally, based on the established limit state equation of flexural capacity of the weak section and the statistical parameters of compressive strength at different times, the reliability index of a structure under different service life is calculated. On the other hand, according to the drift Wiener process model of relative dynamic elastic modulus degradation of concrete, the time‐varying failure probability of structural durability degradation is calculated based on the first‐passage failure probability formula of drift Wiener process. Taking a concrete plant structure as an example, the time‐varying reliability index calculated based on the limit state equation and the time‐varying failure probability obtained based on the first‐passage failure probability analysis of drift Wiener process are compared, and then the recommended values of target reliability index of structural bearing capacity are comprehensively determined.

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Quality and Reliability Engineering International

Tập 38 Số 7

3710-3725

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