A Galerkin Time quadrature element formulation for linear structural dynamics

被引：5
|
作者：
Qin, Junning [1 ]
Zhong, Hongzhi [1 ]
机构：
[1] Tsinghua Univ, Dept Civil Engn, Beijing 100084, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 413卷
关键词：
Weak form quadrature element; Radau quadrature; Generalized differential quadrature analog; Numerical dissipation; INTEGRATION METHOD; FRAMEWORK;
D O I：
10.1016/j.amc.2021.126609
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A well-posed time weak form for linear structural dynamics is used to construct a Galerkin time quadrature element formulation. Radau quadrature rule and the generalized differential quadrature analog are used to turn the well-posed weak form into a set of linear equations. The stability and accuracy properties of the formulation are discussed. Numerical examples are given to show the high computational efficiency of the well-posed weak form time quadrature element formulation, as compared with a time finite element solution based on the same weak form using third-order Hermite interpolations. (C) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页数：19
相关论文
共 50 条
12345