Building collapses during recent earthquakes have brought up the need for research on factors pertaining to collapse and the safety of structures.This requires response replication of structures that account for uncertainties from ground motions and structural properties.Structural collapse often implies that the structural system is no longer capable of maintaining its gravity load-carrying capacity,which often points to factors involving strength and stiffness degradation.In this study,the polynomial chaos nonlinear autoregressive with exogenous input form(PC-NARX)model is explored for dynamic response replication of a nonlinear single-degree-of-freedom(SDOF)structure.The generalized hysteretic Bouc-Wen model is applied to emulate stiffness and strength degradation for an SDOF structure close to collapse.A stochastic ground motion model is used to represent the uncertainties in seismic excitation.The PC-NARX model is employed and further evaluated for response replication of an SDOF system with inherent uncertain structural properties.A generic algorithm(GA)is used to select the terms for structural dynamics,and polynomial chaos expansion(PCE)is used to incorporate uncertain parameters into NARX model coefficients.It is demonstrated that the PC-NARX model provides good accuracy to account for both ground motion and structural uncertainties into response replication of SDOF structures with significant strength and stiffness degradation.The PC-NARX model thus presents a promising technique for collapse safety analysis of structures.

Gao Xiaoshu;Chen Cheng;Hou Hetao;Jiao Shenghu

School of Civil Engineering,Shandong University,Jinan 250100,China;School of Engineering,San Francisco State University,San Francisco 94132-1722,USA;Shandong Engineering & Technology Research Center for Green Building and Intelligent Construction,Jinan 250100,China

地震工程与工程振动（英文版）

[1]Gao Xiaoshu;Chen Cheng;Hou Hetao;Jiao Shenghu-.Response prediction using the PC-NARX model for SDOF systems with degradation and parametric uncertainties)[J].地震工程与工程振动（英文版）,2022(02):325-340

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