A computational analysis of the non-linear vibration of a heated orthotropic annular plate with a central rigid mass is examined for the cases of immovably hinged as well as clamped constraint conditions of the outer edge. First, based on the von Karman's plate theory and Hamilton's principles, the governing equations, in terms of the displacements of the middle plane, of the problem are derived. Then, upon assuming that harmonic responses of the system exist, the non-linear partial differential equations are converted into the corresponding non-linear ordinary differential equations through elimination of the time variable by using the Kantorovich time-averaging method. Finally, by applying a shooting method, the fundamental responses of the non-linear vibration of the plate are numerically obtained. For some prescribed values of the parameters, such as the material rigidity ratio, temperature rising and so on, the curves of the fundamental frequency versus specified amplitude of the plate are numerically presented.
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