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An Advanced Time-Discontinuous Galerkin Finite Element Method for Structural Dynamics

Chyou-Chi Chien, Tong-Yue Wu1
Department of Civil Engineering, Chung-Yuan University, Chung-Li, 32023, Taiwan. e-mail: chyouchi@cycu.edu.tw

Computer Modeling in Engineering & Sciences 2001, 2(2), 213-226. https://doi.org/10.3970/cmes.2001.002.213

Abstract

This study presents a novel computational method for implementing the time finite element formulation for the equations of linear structural dynamics. The proposed method adopts the time-discontinuous Galerkin method, in which both the displacement and velocity variables are represented independently by second-order interpolation functions in the time domain. The solution algorithm derived utilizes a predictor/multi-corrector technique that can effectively obtain the solutions for the resulting system of coupled equations. The numerical implementation of the time-discontinuous Galerkin finite element method is verified through several benchmark problems. Numerical results are compared with exact and accepted solutions from previous literature. Since a fifth-order accurate algorithm ensues by using quadratic interpolations for displacement and velocity, numerical results significantly improve in stability and accuracy for structural dynamics problems.

Keywords

Time-discontinuous Galerkin method, finite element method, stability, accuracy, structural dynamics.

Cite This Article

Chien, C., Wu, T. (2001). An Advanced Time-Discontinuous Galerkin Finite Element Method for Structural Dynamics. CMES-Computer Modeling in Engineering & Sciences, 2(2), 213–226.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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