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

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

Li Zhengliang, Zhou Yongming, Deng Anfu   

  1. 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

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

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