Boundary Integral Equations for the Bending Problem of Plates on Two-Parameter Foundation

Li Zheng-liang; Deng An-fu

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Li Zheng-liang, Deng An-fu. Boundary Integral Equations for the Bending Problem of Plates on Two-Parameter Foundation[J]. Applied Mathematics and Mechanics, 1992, 13(7): 633-643.

Citation:

Li Zheng-liang, Deng An-fu. Boundary Integral Equations for the Bending Problem of Plates on Two-Parameter Foundation[J]. Applied Mathematics and Mechanics, 1992, 13(7): 633-643.

Citation:

Li Zheng-liang, Deng An-fu. Boundary Integral Equations for the Bending Problem of Plates on Two-Parameter Foundation[J]. Applied Mathematics and Mechanics, 1992, 13(7): 633-643.

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Boundary Integral Equations for the Bending Problem of Plates on Two-Parameter Foundation

Chongqing Institute of Architecture and Engineering, Chongqing

Received Date: 1991-06-27
Publish Date: 1992-07-15

Abstract

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 equations 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.
- two-parameter foundation,
- fundamental solution,
- special functions,
- boundary integral equation

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References(9)

References

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