Wang You-cheng, Wang Zuo-hui. Isotropicalized Spline Integral Equation Method for the Analysis of Anisotropic Plates[J]. Applied Mathematics and Mechanics, 1990, 11(9): 779-784.
Citation: Wang You-cheng, Wang Zuo-hui. Isotropicalized Spline Integral Equation Method for the Analysis of Anisotropic Plates[J]. Applied Mathematics and Mechanics, 1990, 11(9): 779-784.

Isotropicalized Spline Integral Equation Method for the Analysis of Anisotropic Plates

  • Received Date: 1989-07-14
  • Publish Date: 1990-09-15
  • In the view of Reissner's and Kirchhoff's theories, respectively, we formulate the isotropicalized governing equations for the anisotropic plates, and give the proof of the equivalence relation between these two plate-models for the simply-supported rectangular orthotropic plates. The well-known fundamental solutions of the isotrqpic plates are utlized for the spline integral equation analysis of anisotropic plates.Even with sparse meshes the satisfactory results can be obtained. The analysis of plates on two-parameter elastic foundation is so simple as the common case that only a few terms should be added to the formulas of fictitious loads.
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  • [1]
    Wu,B.C.and N.J.Altiero,A new numerical method for the analysis of anisotropic thin platebending problem,Com.Meth.Appl.Mech.Engng.,25(1981),343-353.
    [2]
    Wang,Y.C.et al.,SBEM for plate bending problems,Boundary Elements(Ed.Du Q.H.),Pergamon Press,Beijing(1986),427-436.
    [3]
    Wang,Y.C.et al.,SBEM for Reissner's plates and its application to foundation plates,Boundary ElementsⅨ(Ed.C.A.,Brebbia),Vol.2,Spring-Verlag(1987),111-125.
    [4]
    王有成,Kirchhoff型板样条边界元,计算结构力学及其应用,3, 1 (1986),41-50.
    [5]
    Selvadurai,A.P.S.,Elastic Analysis of Soil-Foundation Interaction,Elsevier Scient.Publ.Comp.,Amsterdam(1979).
    [6]
    列赫尼斯基,《各向异性板》,科学出版社(1983).
    [7]
    Timoshenko,S.,and S.Woinowsky-Krieger,Theory of Plates and Shells,McGraw-Hill(1959).
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