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BOUNDARY INTEGRAL EQUATIONS FOR THE BENDING PROBLEM OF PLATES ON TWO-PARAMETER FOUNDATION 被引量:2

BOUNDARY INTEGRAL EQUATIONS FOR THE BENDING PROBLEM OF PLATES ON TWO-PARAMETER FOUNDATION
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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. 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1992年第7期657-667,共11页 应用数学和力学(英文版)
关键词 Bending (deformation) Boundary element method Convergence of numerical methods Fourier transforms Integral equations Bending (deformation) Boundary element method Convergence of numerical methods Fourier transforms Integral equations
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  • 2DING Fang_yun,L Tao_tao.Boundary element analysis for two dimensional Helmholtz equation nonlinear boundary value problem[].Journal of Lanzhou University.1994
  • 3Sladek V,Sladek J,Tanaka M.Boundary element solution of some structure_acoustic coupling problems using the multiple reciprocity method[].Communications in Numerical Methods in Engineering.1994
  • 4DING Fang_yun.Boundary element method for three dimensional Helmholtz equation Dirichlet problem and its convergence analysis[].Journal of Lanzhou University.1995
  • 5Sladek V,Sladek J,Tanaka M.Multiple reciprocity method for harmonic vibration of thin elastic plates[].Applied Mathematical Modelling.1993
  • 6Kamiya N,Andon E.A note on multiple reciprocity method integral formulation for the Helmholtz equation[].Communications in Numerical Methods in Engineering.1993
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