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Vibration and Buckling Analyses of Beams by the Modified Differential Quadrature Method

Published online by Cambridge University Press:  05 May 2011

Y.-T. Chou  and
S.-T. Choi
Y.-T. Chou*
Affiliation:
Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
S.-T. Choi*
Affiliation:
Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*Graduate Student
**Associate Professor
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Abstract

In this paper the modified differential quadrature method (MDQM) is proposed for static and vibration analyses of beams. Modified weighting matrices are developed and a new formulation process is presented for incorporating boundary conditions such that the numerical error induced by using the δ-method in the original DQM is reduced. The present method is applied to various beam problems, such as static deflections of Euler beams, buckling loads of columns, and free vibrations of Timoshenko beams. Numerical results of the present method are shown to have excellent accuracy when compared to exact values and are more accurate than those obtained by the original DQM. The accuracy and efficiency of the present method have been demonstrated.

Keywords

BeamModified differential quadrature methodNatural frequencyBuckling
Type
Articles
Information
Journal of Mechanics , Volume 16 , Issue 4 , December 2000 , pp. 189 - 195
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2000

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References

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