A Galerkin Time quadrature element formulation for linear structural dynamics

Junning Qin and Hongzhi Zhong

Applied Mathematics and Computation, 2022, vol. 413, issue C

Abstract: 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.

Keywords: Weak form quadrature element; Radau quadrature; Generalized differential quadrature analog; Numerical dissipation (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:413:y:2022:i:c:s0096300321006937

DOI: 10.1016/j.amc.2021.126609

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