NON-LINEAR VIBRATION OF A HINGED CIRCULAR PLATE WITH A CONCENTRIC RIGID MASS

A computational analysis of the non-linear vibration of a hinged elastic circular plate with a concentric rigid mass is examined for movable and immovable hinged cases. The non-linear partial differential equations are converted into the corresponding non-linear ordinary differential equations by elimination of the time variable with a Kantorovich time-averaging method. Then, by using a Newton iteration technique and the concept of analytic continuation, the solutions of the fundamental responses of the non-linear vibration of the circular plate with a concentric rigid mass are obtained.