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  2019,Vol.14no.4 ,page:699-706

A New Explicit Time Integration Algorithm for Nonlinear Seismic Response Analysis of Site
Abstract:      For the linear-elastic structure dynamics equation, the author has proposed a second-order precision single-step explicit time integration algorithm with good stability. In this paper, the method is extended to solve the nonlinear structural dynamics equations, and the modified Euler algorithm with error control is used to calculate the element stress and improve the accuracy of the explicit time integration algorithm. The explicit algorithm for solving nonlinear problems is applied to nonlinear site seismic response analysis. The viscous boundary is used to simulate the radiation damping of the bedrock underlying the soil layer, and the ground motion input is considered. The comparison with the calculation results of the central difference method shows the effectiveness of the new explicit algorithm.
Author NameAffiliation
Zhao Mi Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China 
Wang Yadong Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China 
Gao Zhidong Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China 
Duan Yawei Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China 
Du Xiuli Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China 
Keywords:    Explicit time integration algorithm  Material nonlinearity  Site seismic response  Error control  Artificial boundary
Received on:  April 11, 2019
基于一种新显式时间积分算法的场地非线性地震反应分析
摘要:    针对线弹性结构动力学方程,作者已提出一种具有良好稳定性的二阶精度单步显式时间积分算法。本文将该方法推广到求解材料非线性结构动力学方程中,采用带误差控制的修正欧拉算法计算单元应力,提高显式时间积分算法的精度。将求解非线性问题的显式算法应用于地震波垂直入射时非线性地震反应分析中,使用黏性边界模拟场地土层底部半空间基岩的辐射阻尼,并考虑地震动输入。与中心差分法计算结果进行对比,以表明新显式算法的有效性。
关  键  词:显式时间积分算法  材料非线性  场地地震反应  误差控制  人工边界
基金项目:国家973计划项目课题(2015CB057902);国家自然科学基金项目(51678015);教育部创新团队发展计划项目(IRT_17R03)
作者简介:赵密,男,生于1980年。教授,博士。主要从事重大工程抗震研究。E-mail:zhaomi@bjut.edu.cn
引用本文格式:赵密,王亚东,高志懂,段亚伟,杜修力.基于一种新显式时间积分算法的场地非线性地震反应分析[J].震灾防御技术英文版,2019,14(4):699-706  DOI:10.11899/zzfy20190401
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