A New Approach for Solving Fourth-Order Equations by the Differential Quadrature Method

Chen, W. L.; Striz, A. G.; Bert, C. W.

doi:10.1007/978-3-642-79654-8_108

W. L. Chen⁴,
A. G. Striz⁴ &
C. W. Bert⁴

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1 Citations

Abstract

A generalized and complete approach for applying boundary conditions in the differential quadrature method (DQM) is presented in the following study. This improved scheme eliminates the deficiencies of the previously used 8-type grid arrangement, which is only approximate. Now, boundary conditions can be applied exactly. Two kinds of basis functions, Chebyshev and Lagrange, are used here. It is found that the new approach cures most deficiencies of the current DQM.

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References

Jang, S. K., Bert, C. W., and Striz, A. G, Application of Differential Quadrature to Deflection and Buckling of Structural Components, Int. J. Numer. Meth. Engng. Vol. 28 (1989), pp. 561–577.
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Authors and Affiliations

School of Aerospace and Mechanical Engineering, The University of Oklahoma, Norman, Oklahoma, 73019-0601, USA
W. L. Chen (Former Graduate Student), A. G. Striz (Associate Professor) & C. W. Bert (Perkinson Chair Professor and Director)

Authors

W. L. Chen
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A. G. Striz
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C. W. Bert
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Editors and Affiliations

Computational Modeling Center, Georgia Institute of Technology, Atlanta, GA, 30332-0356, USA
S. N. Atluri
Department of Quantum Engineering & Systems Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan
G. Yagawa
Department of Mechanical Engineering, Vanderbilt University, P.O. Box 1592, Station B, Nashville, TN, 37235, USA
Thomas Cruse

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Chen, W.L., Striz, A.G., Bert, C.W. (1995). A New Approach for Solving Fourth-Order Equations by the Differential Quadrature Method. In: Atluri, S.N., Yagawa, G., Cruse, T. (eds) Computational Mechanics ’95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79654-8_108

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DOI: https://doi.org/10.1007/978-3-642-79654-8_108
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-79656-2
Online ISBN: 978-3-642-79654-8
eBook Packages: Springer Book Archive

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