An approach of dynamic response analysis of nonlinear structures based on least square Volterra kernel function identification

作     者：Zhenhao Zhang Jun Xiong Zhenpeng Zhao Fuming Wang Yi Zeng Bing Zhao Lu Ke Zhenhao Zhang;Jun Xiong;Zhenpeng Zhao;Fuming Wang;Yi Zeng;Bing Zhao;Lu Ke

作者机构：School of Civil EngineeringChangsha University of Science and TechnologyChangsha 410114HunanChina Guangxi Key Laboratory of Disaster Prevention and Engineering SafetyGuangxi UniversityNanning 530004GuangxiChina College of Civil engineering and ArchitectureGuangxi UniversityNanning 530004GuangxiChina 

出 版 物：《Transportation Safety and Environment》 (交通安全与环境（英文）)

年 卷 期：2023年第5卷第2期

页      面：1-13页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the National Key Research and Development programme of China (Grant No.2021YFB2600900) Guangxi Key Laboratory of Disaster Prevention and Engineering Safety,Guangxi University (Grant No.2021ZDK016) Natural Science Foundation of Changsha City,China (Grant No.kp2202210) 

主　　题：nonlinear system Volterra series kernel function dynamic response least square method 

摘      要：Analysis of the dynamic response of a complex nonlinear system is always a difficult *** using Volterra functional series to describe a nonlinear system,its response analysis can be similar to using Fourier/Laplace transform and linear transfer function method to analyse a linear system’s *** this paper,a dynamic response analysis method for nonlinear systems based on Volterra series is ***,the recursive formula of the least square method is established to solve the Volterra kernel function vector,and the corresponding MATLAB programme is ***,the Volterra kernel vector corresponding to the nonlinear response of a structure under seismic excitation is identified,and the accuracy and applicability of using the kernel vector to predict the response of a nonlinear structure are *** results show that the Volterra kernel function identified by the derived recursive formula can accurately describe the nonlinear response characteristics of a structure under an *** a general nonlinear system,the first three order Volterra kernel function can relatively accurately express its nonlinear response *** addition,the obtained Volterra kernel function can be used to accurately predict the nonlinear response of a structure under the similar type of dynamic load.