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Based on Reissner theory, this paper investigates the vibration problems of rectangular thick paltes by applying boundary integral method. This paper presents the concept of the quasi basic system, applies the boundary integral method in it and the actual system, and derives the governing equation and the flexible equation of the forced vibration of rectangular thick plates under a concentrated load with three kinds of boundary conditions respectively. Matlab and Ansys structural analysis software are used for analyzing the equation with numerical calculation and simulation analysis. The result of this paper is used to prove the correctness of the new method, which has solved forced vibration problem of rectangular thick plate

A Study of Solutions Based on Boundary Integral Method for Thick Plate Bending Problems in Several Different Boundary Conditions