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

页数：19

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