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Nonlinear Deflection of Rectangular Plates by Differential Quadrature

  • C. W. Bert
  • A. G. Striz
  • S. K. Jang

Summary

Energy, perturbation, analytical, and numerical methods have been the most widely used solution techniques for the problem of geometrically nonlinear bending of plates. These methods, however, have drawbacks such as complexity, lack of generality, need of initial trial solutions, and considerable computational effort. The numerical technique of differential quadratrue overcomes some of these shortcomings. It is used in the present to examine the large deflection behavior of thin rectangular isotropic plates with clamped or simply supported edges. Center deflections are calculated for the cases of uniform pressure or a patch load at the center. The results compare well with existing analytical and numerical solutions and the method is computationally efficient.

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References

  1. 1.
    Bellman, R.E., Kashef, B.G., and Casti, J., “Differential Quadrature: A Technique for the Rapid Solution of Non-Linear Partial Differential Equations,” J. Comp. Phys., Vol. 10, 1972, pp. 40–52.MathSciNetADSCrossRefMATHGoogle Scholar
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    Striz, A.G., Jang, S.K., and Bert, C.W., “Nonlinear Bending Analysis of Thin Circular Plates by Differential Quadrature,” Thin Walled Structures, to appear.Google Scholar
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    Chia, C.Y., Nonlinear Analysis of Plates, McGraw-Hill, New York, 1980, ch. 2.Google Scholar
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    Yang, T.Y., “Finite Displacement Plate Flexure by the Use of Matrix Incremental Approach,” Int. J. Numer. Meth. Engrg., Vol. 4, 1972, pp. 415–432.CrossRefGoogle Scholar
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    Martindale, J.L., M.S. Thesis, University of Oklahoma, 1986, Appendix F.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • C. W. Bert
    • 1
  • A. G. Striz
    • 1
  • S. K. Jang
    • 1
  1. 1.School of Aerospace, Mechanical, and Nuclear EngineeringThe University of OklahomaNormanUSA

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