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Boundary integral equations for the bending problem of plates on two-parameter foundation

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Abstract

By means of Fourier integral transformation of generalized function, the fundamental solution for the bending problem of plates on two-parameter foundation is derived in this paper, and the fundamental solution is expanded into a uniformly convergent series. On the basis of the above work, two boundary integral eguations which are suitable to arbitrary shapes and arbitrary boundary conditions are established by means of the Rayleigh-Green identity. The content of the paper provides the powerful theories for the application of BEM in this problem.

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Authors and Affiliations

  1. Chongqing Institute of Architecture and Engineering, Chongqing

    Li Zheng-liang & Deng An-fu

Authors
  1. Li Zheng-liang
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  2. Deng An-fu
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Communicated by Hsuch Dah-wei

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Zheng-liang, L., An-fu, D. Boundary integral equations for the bending problem of plates on two-parameter foundation. Appl Math Mech 13, 657–667 (1992). https://doi.org/10.1007/BF02456090

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  • DOI: https://doi.org/10.1007/BF02456090

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