BOUNDARY INTEGRAL EQUATIONS FOR THE BENDING PROBLEM OF PLATES ON TWO-PARAMETER FOUNDATION

Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (7): 657-667.

BOUNDARY INTEGRAL EQUATIONS FOR THE BENDING PROBLEM OF PLATES ON TWO-PARAMETER FOUNDATION

李正良, 邓安福

Chongqing Institute of Architecture and Engineering, Chongqing

收稿日期:1991-06-27 出版日期:1992-07-18 发布日期:1992-07-18

BOUNDARY INTEGRAL EQUATIONS FOR THE BENDING PROBLEM OF PLATES ON TWO-PARAMETER FOUNDATION

Li Zheng-liang, Deng An-fu

Chongqing Institute of Architecture and Engineering, Chongqing

Received:1991-06-27 Online:1992-07-18 Published:1992-07-18

摘要/Abstract

摘要： 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.

关键词: two-parameter foundation, fundamental solution, special functions, boundary integral equation

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.

Key words: two-parameter foundation, fundamental solution, special functions, boundary integral equation

李正良;邓安福. BOUNDARY INTEGRAL EQUATIONS FOR THE BENDING PROBLEM OF PLATES ON TWO-PARAMETER FOUNDATION[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(7): 657-667.

Li Zheng-liang;Deng An-fu. BOUNDARY INTEGRAL EQUATIONS FOR THE BENDING PROBLEM OF PLATES ON TWO-PARAMETER FOUNDATION[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(7): 657-667.

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BOUNDARY INTEGRAL EQUATIONS FOR THE BENDING PROBLEM OF PLATES ON TWO-PARAMETER FOUNDATION

BOUNDARY INTEGRAL EQUATIONS FOR THE BENDING PROBLEM OF PLATES ON TWO-PARAMETER FOUNDATION

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