Dynamic reliability analysis for strong nonlinear structures under non-stationary earthquake

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (19) : 121-129.

CHEN Zhiqiang, ZHENG Shixiong, ZHANG Ning, CHEN Zhiwei, LI Xi

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Abstract

Aiming at the problem of a strong nonlinear structure’s seismic reliability being difficult to solve under influences of double-uncertainty of structure-earthquake, based on the extreme value distribution (EVD) theory, a highly efficient numerical method for seismic reliability analysis of strong non-linear structures under non-stationary earthquake was proposed. Firstly, the idea for dimension reduction of random function was used to do dimension reduction simulation, about one thousand high-dimension random variables needed for using the spectrum representation method to simulate a non-stationary earthquake were reduced to 2 elementary random variables to greatly reduce the dimension number of probability space. Then, an improved pseudo correlation reduction Latin hypercube sampling method was proposed to determine integration points, and effectively estimate fractional moments of structure nonlinear seismic response EVD. Finally, the maximum entropy principle for fraction moments was adopted to obtain structure nonlinear seismic response EVD, and realize the accurate estimation of seismic reliability of a non-linear structure under small failure probability level. Numerical example showed that the proposed method can estimate EVD of a strong nonlinear structure seismic response under influences of double-uncertainty of structure-earthquake through 300 hundred times of dynamic analysis; it can accurately calculate structure dynamic reliability under small failure probability level simultaneously considering efficiency and calculation accuracy; compared to the existing methods, its computation amount is only 1/5 of the existing method’s, the proposed method can provide an effective way for seismic risk evaluation of nonlinear structures.

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non-stationary / fractional moment / extreme value distribution (EVD) / seismic reliability / double-uncertainty

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CHEN Zhiqiang, ZHENG Shixiong, ZHANG Ning, CHEN Zhiwei, LI Xi. Dynamic reliability analysis for strong nonlinear structures under non-stationary earthquake[J]. Journal of Vibration and Shock, 2020, 39(19): 121-129

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