Abstract:An improve Fourier series method is employed to establish the vibration mode of skew plates and to analyze the vibration characteristic of plates with arbitrary elastic boundary condition. The vibration displacements are sought as the linear combination of a double Fourier cosine series and auxiliary series functions. The use of these supplementary functions is to solve the discontinuity problems which encountered in the displacement partial differentials along the edges. So this method can be applied to general elastic boundary conditions. Base on Hamilton’s principle, the matrix eigenvalue equation which is equivalent to governing differential equations of the plates is derived. Finally the numerical simulations are presented, the vibration frequencies of plates with different conditions are solved, the comparisons with reported in the literature as well as calculated for FEA validates the accuracy of the method.
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