BOUNDARY INTEGRAL EQUATIONS FOR BENDING PROBLEM OF REISSNER'S PLATES ON TWO-PARAMETER FOUNDATION

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (4): 351-359.

BOUNDARY INTEGRAL EQUATIONS FOR BENDING PROBLEM OF REISSNER'S PLATES ON TWO-PARAMETER FOUNDATION

李正良, 周永明, 邓安福

Chongqing Jianzhu University, Chongqing 400045, P. R. China

收稿日期:1997-08-15 修回日期:1997-08-15 出版日期:1998-04-18 发布日期:1998-04-18
基金资助:
Projcot supported by the P. H. D. Foundation of National Education Committee of China

BOUNDARY INTEGRAL EQUATIONS FOR BENDING PROBLEM OF REISSNER'S PLATES ON TWO-PARAMETER FOUNDATION

Li Zhengliang, Zhou Yongming, Deng Anfu

Chongqing Jianzhu University, Chongqing 400045, P. R. China

Received:1997-08-15 Revised:1997-08-15 Online:1998-04-18 Published:1998-04-18
Supported by:
Projcot supported by the P. H. D. Foundation of National Education Committee of China

摘要/Abstract

摘要： Two fundamental solutions for bending problem of Reissner's plates on twoparameter foundation are derived by means of Fouier integral transformation of generalized function in this paper.On the basis of virtual work principles,three boundary integral equations which fit for arbitrary shapes,loads and boundary conditions of thick plates are presented according to Hu Haichang's theory about Reissner's plates.It provides the fundamental theories for the application of BEM.A numerical example is given for clamped,simply supported and free boundary conditions.The results obtained are satisfactory as compared with the analytical methods.

关键词: Reissuer's plate, two-parameter foundation, fundamental solution, boundary integral equation

Abstract: Two fundamental solutions for bending problem of Reissner's plates on twoparameter foundation are derived by means of Fouier integral transformation of generalized function in this paper.On the basis of virtual work principles,three boundary integral equations which fit for arbitrary shapes,loads and boundary conditions of thick plates are presented according to Hu Haichang's theory about Reissner's plates.It provides the fundamental theories for the application of BEM.A numerical example is given for clamped,simply supported and free boundary conditions.The results obtained are satisfactory as compared with the analytical methods.

Key words: Reissuer's plate, two-parameter foundation, fundamental solution, boundary integral equation

李正良;周永明;邓安福. BOUNDARY INTEGRAL EQUATIONS FOR BENDING PROBLEM OF REISSNER'S PLATES ON TWO-PARAMETER FOUNDATION[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(4): 351-359.

Li Zhengliang;Zhou Yongming;Deng Anfu . BOUNDARY INTEGRAL EQUATIONS FOR BENDING PROBLEM OF REISSNER'S PLATES ON TWO-PARAMETER FOUNDATION[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(4): 351-359.

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BOUNDARY INTEGRAL EQUATIONS FOR BENDING PROBLEM OF REISSNER'S PLATES ON TWO-PARAMETER FOUNDATION

BOUNDARY INTEGRAL EQUATIONS FOR BENDING PROBLEM OF REISSNER'S PLATES ON TWO-PARAMETER FOUNDATION

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