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

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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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Authors and Affiliations

  1. Department of Mechanical Engineering, K. N. Toosi University of Technology, Pardis Street, MolaSadra Avenue, Vanak Square, P. O. Box 19395-1999, Tehran, Iran

    S. A. Eftekhari & A. A. Jafari

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  1. S. A. Eftekhari
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  2. A. A. Jafari
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Correspondence to S. A. Eftekhari.

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Eftekhari, S.A., Jafari, A.A. Mixed finite element and differential quadrature method for free and forced vibration and buckling analysis of rectangular plates. Appl. Math. Mech.-Engl. Ed. 33, 81–98 (2012). https://doi.org/10.1007/s10483-012-1535-6

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  • DOI: https://doi.org/10.1007/s10483-012-1535-6

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Chinese Library Classification

2010 Mathematics Subject Classification

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