A Galerkin Time quadrature element formulation for linear structural dynamics

作者：

Highlights：

• A Galerkin time quadrature element formulation is established.

• Radau quadrature and numerical differentiation are used to form system equations.

• Number of Radau points on stability and numerical dissipation are discussed.

• Examples are given to demonstrate high computational efficiency and accuracy.

摘要

•A Galerkin time quadrature element formulation is established.•Radau quadrature and numerical differentiation are used to form system equations.•Number of Radau points on stability and numerical dissipation are discussed.•Examples are given to demonstrate high computational efficiency and accuracy.

论文关键词：Weak form quadrature element,Radau quadrature,Generalized differential quadrature analog,Numerical dissipation

论文评审过程：Received 17 August 2020, Revised 25 June 2021, Accepted 18 August 2021, Available online 3 September 2021, Version of Record 3 September 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126609