When the self-centering structure is subjected to earthquake or strong wind load, significant nonlinear random vibration will occur, which may lead to the structural performance greatly reduced or even complete failure.In this paper, the first-passage failure problem of a self-centering structure with two-degrees-of-freedom under random excitation is studied.The generalized harmonic balance technique is used to decompose the self-centering restoring force and obtain the equivalent random system.The average Ito stochastic differential equation with respect to amplitude is derived by means of stochastic average method.The backward Kolmogorov (BK) equation is solved to obtain the conditional reliability function (CRF) and conditional probability density function of the first pass time (PDF).As an example, Kanai-Tajimi filtered white noise model is used to analyze the influence of the change of excitation strength D and soil damping ratio ξg on conditional reliability function and conditional probability density function.The validity of the analytical solution is verified by comparing with Monte Carlo simulation results.
梁霄,陈林聪,韩琳.随机激励下自复位结构首次穿越失效研究[J].动力学与控制学报,2023,21(5):93~100; . First-Passage of Self-Centering System Under Random Excitation[J]. Journal of Dynamics and Control,2023,21(5):93-100.