Stationary response of self-centering structure under random earthquake excitation#br#

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (3) : 297-302.

HU Huiying1, CHEN Lincong2

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Abstract

Self centering structure is a new type of aseismic structure which can be put into use without repair or with only a small amount of repair after earthquake. At present, most of studies on seismic response of self-centering structure are performed under deterministic excitation, and few involve random excitation environment. Here, the stationary response of a single-DOF self-centering system under random seismic excitation was studied, and the acceleration process of the ground motion was assumed to be Kanai-Tajimi filtered white noise model. The generalized harmonic balance technique was used to decompose restoring force of flag shape, and the equivalent nonlinear stochastic system to the original system was established. By means of Stratonovich-Khasminskii limit theorem and stochastic averaging, an approximate one-dimensional diffusion process for amplitude was obtained. The corresponding FPK equation was established and solved, the analytical solution to the steady-state probability density function for amplitude was obtained and this function’s parametric analysis was done. Numerical results showed that decrease in energy dissipation coefficient and yield displacement can reduce response of the system; with variation of these two parameters, the system can have random P-bifurcation phenomenon. Finally, the effectiveness of the analytical solution was verified with Monte Carlo numerical simulation method.

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self-centering structure / random vibration / Kanai-Tajimi filtered white noise excitation / stochastic averaging method / steady state probability density function

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HU Huiying1, CHEN Lincong2. Stationary response of self-centering structure under random earthquake excitation#br#[J]. Journal of Vibration and Shock, 2021, 40(3): 297-302

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