Random seismic response analysis of high-pier bridges based on partial stratified sampling

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (7) : 214-222.

CHEN Zhiqiang1, ZHENG Shixiong1, DING Zihao1, ZHANG Jin2

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Abstract

To characterize the influence of uncertainty and correlation of structural parameters on the seismic performance of bridge and analysis the seismic performance of bridge via probabilistic method, a nonlinear random seismic response analysis method of bridge under time-frequency non-stationary earthquake was developed based on partially stratified sampling. The non-stationary random seismic record samples were firstly generated based on the evolution power spectrum density of ground motions by using spectral representation method (SRM). The random variables involved into the SPR method were simulated by a random functions based method and the uncertainty of ground motions was characterized by two elementary random variables. Subsequently, the ground motion and structural uncertain parameters were sampled by using the number theory based partially stratified sampling method so as to simulate the nonlinear stochastic seismic response of bridge and also to reduce the sampling variance in the random seismic response analysis; Finally, a practical high-pier continuous rigid frame bridge is taken as an example, the nonlinear random seismic response analysis is carried out, and the influence of uncertainty and correlation of structural random parameters on its seismic reliability is studied in detail. The results indicate that the random seismic response of bridge under the stochastic seismic excitations is a typical non-stationary random process with zero mean. From the beginning to the end of ground motion excitation, the probability density curve of seismic response of bridge has the evolution process from narrow side to wide, and then from wide to narrow. The mean peak factors of critical responses of bridge structure vary from 1.8 to 2.2. The influence of uncertainty and correlation of structural parameters on the extreme value distribution and seismic reliability of high-pier bridges is significant. Ignoring the uncertainty and correlation of random parameters will significantly overestimate the seismic reliability of bridge.

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non-stationary / random seismic response / extreme value distribution / seismic reliability / partially stratified sampling

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CHEN Zhiqiang1, ZHENG Shixiong1, DING Zihao1, ZHANG Jin2. Random seismic response analysis of high-pier bridges based on partial stratified sampling[J]. Journal of Vibration and Shock, 2022, 41(7): 214-222

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