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A Galerkin Time quadrature element formulation for linear structural dynamics

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  • Qin, Junning
  • Zhong, Hongzhi

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.

Suggested Citation

  • Qin, Junning & Zhong, Hongzhi, 2022. "A Galerkin Time quadrature element formulation for linear structural dynamics," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    • Handle: RePEc:eee:apmaco:v:413:y:2022:i:c:s0096300321006937
    DOI: 10.1016/j.amc.2021.126609
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    References listed on IDEAS

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    1. Kim, Jinkyu & Kim, Dongkeon, 2015. "A quadratic temporal finite element method for linear elastic structural dynamics," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 117(C), pages 68-88.
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