Abstract
This study is an analytical investigation of large amplitude flexural vibration of clamped circular plates with stress-free and immovable edges. The effects of transverse shear deformation and rotatory inertia are included in the governing equations. Solutions are formulated on the basis of Galerkin's method and the Runge-Kutta numerical procedure. An excellent agreement is found between the present results and those reported earlier for nonlinear static and dynamic cases. Numerical results indicate that the effects of transverse shear deformation and rotatory inertia are significant in the nonlinear dynamic analysis of circular plates, particularly for moderately thick plates.
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