EXPLICIT FINITE ELEMENT ARTIFICIAL BOUNDARY SCHEME FOR WAVE EQUATION ON UNBOUNDED DOMAIN

摘要：

Dynamic soil-structure interaction is a wave propagation problem on unbounded domain. An explicit finite element artificial boundary scheme that couples the standard dynamic finite element method and a high-order accurate artificial boundary condition (ABC) is proposed to solve the unbounded wave problem. The out-of-plane wave equation is considered in this paper. An exact dynamic-stiffness ABC that is global in space and time is constructed. A temporal localization method that consists of the rational function approximation and the auxiliary variable realization is developed. This method is applied to the dynamic-stiffness ABC to result in a high-order accurate ABC that is local in time but global in space. By discretizing the high-order accurate ABC along artificial boundary and coupling the result with the standard lumped-mass finite element equation of near field,a coupled dynamic equation is obtained,which is a symmetric system of purely second-order ordinary differential equations in time with the diagonal mass and non-diagonal damping matrices. A new explicit time integration algorithm in structural dynamics is used to solve this equation. Numerical examples demonstrate the effectiveness of the proposed explicit finite element artificial boundary scheme.

关键词： Soil-structure interaction Artificial boundary condition Explicit finite element method Unbounded domain Wave equation

作者: Mi Zhao Xiu-Li Du Jing-Bo Liu

作者单位: The Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education,Beijing Unive The Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education,Beijing Unive Department of Civil Engineering,Tsinghua University,Beijing 100084,P.R.China

会议类型: 国际会议

会议名称: The Eleventh International Symposium on Structural Engineering(第十一届结构工程国际研讨会)

会议地点: 广州

会议语种:英文

页码: 1164-1169

在线出版日期: 2010-12-01（万方平台首次上网日期，不代表论文的发表时间）