Uncertainty based experimental design for hybrid simulation of structures with strength degradation using polynomial chaos expansion

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (24) : 11-16.

ZHANG Rui1，CHEN Cheng1，TIAN Li1，YANG Chengyu2，HOU Hetao1

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Abstract

Hybrid simulation provides an efficient and effective experimental technique for seismic performance evaluation of structures under earthquakes.Conventional applications of hybrid simulation technique, however, often characterize the numerical substructures as deterministic thus unable to account for inherent uncertainties within civil engineering structures.In this study, a nonlinear single-degree-of-freedom structure with strength degradation was explored for experimental design of hybrid simulation to account for uncertainties in substructures.The polynomial chaos expansion (PCE) was utilized with Sobol sequence sampling to establish the meta-model to analyze the effect of parameter uncertainties on hybrid simulation of the SDOF structure close to collapse in terms of maximum displacement response.The leave-one-out (LOO) error analysis shows that the PCE meta-model enables good estimation of structural response statistics through hybrid simulation when the number of Sobol sequence samples reaches around 32.This study further demonstrates that the PCE has good potential for experimental design of hybrid simulation to account uncertainties.

Key words

hybrid simulation / uncertainty propagation / polynomial chaos expansion(PCE) / least angle regression / Bouc-Wen model / strength degradation

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ZHANG Rui1，CHEN Cheng1，TIAN Li1，YANG Chengyu2，HOU Hetao1. Uncertainty based experimental design for hybrid simulation of structures with strength degradation using polynomial chaos expansion[J]. Journal of Vibration and Shock, 2020, 39(24): 11-16

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