Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (1): 81-98.doi: https://doi.org/10.1007/s10483-012-1535-6

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Mixed finite element and differential quadrature method for free and orced vibration and buckling analysis of rectangular plates

S. A. EFTEKHARI, A. A. JAFARI   

  1. Department of Mechanical Engineering, K. N. Toosi University of Technology, Pardis Street, olaSadra Avenue, Vanak Square, P. O. Box 19395-1999, Tehran, Iran
  • 收稿日期:2011-02-02 修回日期:2011-12-01 出版日期:2011-12-29 发布日期:2012-01-01

Mixed finite element and differential quadrature method for free and orced vibration and buckling analysis of rectangular plates

S. A. EFTEKHARI, A. A. JAFARI   

  1. Department of Mechanical Engineering, K. N. Toosi University of Technology, Pardis Street, olaSadra Avenue, Vanak Square, P. O. Box 19395-1999, Tehran, Iran
  • Received:2011-02-02 Revised:2011-12-01 Online:2011-12-29 Published:2012-01-01

摘要:

This paper presents a combined application of the finite element method (FEM) and the differential quadrature method (DQM) to vibration and buckling problems of rectangular plates. The proposed scheme combines the geometry flexibility of the FEM and the high accuracy and efficiency of the DQM. The accuracy of the present method is demonstrated by comparing the obtained results with those available in the literature. It is shown that highly accurate results can be obtained by using a small number of finite elements and DQM sample points. The proposed method is suitable for the problems considered due to its simplicity and potential for further development.

Abstract:

This paper presents a combined application of the finite element method (FEM) and the differential quadrature method (DQM) to vibration and buckling problems of rectangular plates. The proposed scheme combines the geometry flexibility of the FEM and the high accuracy and efficiency of the DQM. The accuracy of the present method is demonstrated by comparing the obtained results with those available in the literature. It is shown that highly accurate results can be obtained by using a small number of finite elements and DQM sample points. The proposed method is suitable for the problems considered due to its simplicity and potential for further development.

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