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Volume 17, Issue 4
Semi-Discrete and Fully Discrete Partial Projection Finite Element Methods for the Vibrating Timoshenko Beam

Min-Fu Feng, Xiao-Ping Xie & Hua-Xing Xiong

J. Comp. Math., 17 (1999), pp. 353-368.

Published online: 1999-08

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  • Abstract

In this paper, the partial projection finite element method is applied to the time-dependent problem – the damped vibrating Timoshenko beam model. It is proved that this method allows some new combinations of interpolations for stress and displacement fields. When assuming that a smooth solution exists, we obtain optimal convergence rates with constants independent of the beam thickness. 

  • Keywords

Timoshenko beam, Finite element.

  • AMS Subject Headings

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-353, author = {Feng , Min-FuXie , Xiao-Ping and Xiong , Hua-Xing}, title = {Semi-Discrete and Fully Discrete Partial Projection Finite Element Methods for the Vibrating Timoshenko Beam}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {4}, pages = {353--368}, abstract = {

In this paper, the partial projection finite element method is applied to the time-dependent problem – the damped vibrating Timoshenko beam model. It is proved that this method allows some new combinations of interpolations for stress and displacement fields. When assuming that a smooth solution exists, we obtain optimal convergence rates with constants independent of the beam thickness. 

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9108.html} }
TY - JOUR T1 - Semi-Discrete and Fully Discrete Partial Projection Finite Element Methods for the Vibrating Timoshenko Beam AU - Feng , Min-Fu AU - Xie , Xiao-Ping AU - Xiong , Hua-Xing JO - Journal of Computational Mathematics VL - 4 SP - 353 EP - 368 PY - 1999 DA - 1999/08 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9108.html KW - Timoshenko beam, Finite element. AB -

In this paper, the partial projection finite element method is applied to the time-dependent problem – the damped vibrating Timoshenko beam model. It is proved that this method allows some new combinations of interpolations for stress and displacement fields. When assuming that a smooth solution exists, we obtain optimal convergence rates with constants independent of the beam thickness. 

Feng , Min-FuXie , Xiao-Ping and Xiong , Hua-Xing. (1999). Semi-Discrete and Fully Discrete Partial Projection Finite Element Methods for the Vibrating Timoshenko Beam. Journal of Computational Mathematics. 17 (4). 353-368. doi:
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