首页|A Galerkin Time quadrature element formulation for linear structural dynamics

A Galerkin Time quadrature element formulation for linear structural dynamics

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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.

Weak form quadrature elementRadau quadratureGeneralized differential quadrature analogNumerical dissipationINTEGRATION METHODFRAMEWORK

Qin, Junning、Zhong, Hongzhi

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Tsinghua Univ

2022

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN:0096-3003
年,卷(期):2022.413
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