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A series boundary integration method for the bending analysis of anisotropic plates

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Abstract

A series boundary integration method is given which exactly satisfies the fundamental equation of bending analysis of general anisotropic plates or laminated plates in Kirchhoffs sense. With a unified deflection series, the method may be applied to the plates having different planforms and support conditions. Several groups of representative examples are calculated. The examples include circular, square and triangular plates, and their boundaries include clamped edges, simply supported edges, free edges and free corner. Numerical results indicate rapid convergency for both deflection and stress resultants and demonstrate wide applicability of the method.

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References

  1. Ashton, J.E., Anisotropic plate analysis—boundary conditions,J. Comp. Mater.,4, 2 (1970), 162.

    Google Scholar 

  2. Whitney, J.M., Analysis of anisotropic rectangular plates,AIAA J.,10, 10 (1972), 1344.

    Article  Google Scholar 

  3. Whitney, J.M., Fourier analysis of clamped anisotropic plates,J. Appl. Mech.,38, 2 (1971), 530.

    Google Scholar 

  4. Wang, J.T., On the solution of plates of composite materials,J. Comp. Mater.,3, 3 (1969), 590.

    Google Scholar 

  5. Liang Li-ping, A bending analysis of laminated plates under various boundary conditions,Proc. Inter. Symp. Comp. Mater. Struct., Beijing (1986); Ed. T.T. Loo and C.T. Sun, Technomic Publ. Co., Inc. (1986).

    Google Scholar 

  6. Liang Li-ping, A semi-analytic method for bending of angle-ply laminates,Acta Materiae Compositae Sinica,4, 1 (1987). 73 (in Chinese)

    Google Scholar 

  7. Wu, B.C., and N.J. Altierp, A new numerical method for the analysis of anisotropic thin-plate bending problems,Comp Meth. Appl. Mech. Engng.,25 (1981), 343.

    Article  MATH  Google Scholar 

  8. Lekhnitskii, S.G.,Anisotropic Plates, Translated by S.W. Tsai and T. Cheron, Gordon and Breach (1968). (Chinese version)

  9. Liang Li-ping. The. complete systems of homogeneous solutions in the two-dimensional anisotropic problems and the relative matters,proc. of National Symposium on Weighted Residuals Method (1989). (in Chinese)

  10. Ashton, J.E., An analogy for certain anisotropic plates,J. Comp. Mater.,3, 2 (1969), 355.

    Google Scholar 

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Authors and Affiliations

  1. Department of Engineering Mechanics, South China University of Technology, Guangzhou

    Liang Li-ping

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  1. Liang Li-ping
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Communicated by Yun Tian-quan

This subject was supported by the Natural Science Foundation of Guangdong Province.

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Li-ping, L. A series boundary integration method for the bending analysis of anisotropic plates. Appl Math Mech 11, 743–750 (1990). https://doi.org/10.1007/BF02015148

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  • DOI: https://doi.org/10.1007/BF02015148

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