Abstract
In this paper, the O-shaped plate with different materials are used to analyze their natural frequencies at different boundaries and different plate thicknesses and the forced response under the action of point forces. By the improved Fourier series method, the discontinuity of coupling system at all boundaries in the overall solution domain is overcame. Through the energy principle and the Rayleigh-Ritz technology, the matrix equation of the system governing equations can be obtained. In addition, based on various materials, boundary conditions and thicknesses, some new results have been demonstrated, which may become the foundation for the future research.
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