Nonlinear Response of Clamped Circular Plates Subjected to Transverse Excitation Load
Based on the von Kármán classical nonlinear plate theory, nonlinear axisymmetric vibrations of a clamped thin circular plate subjected to transverse harmonic load are investigated. Effects of static deformation on the vibration responses are considered. Harmonic motion is assumed. The time variable is eliminated and the partial differential equations are converted into a system of nonlinear ordinary differential equations by employing a Kantorovich time averaging method. The resulting nonlinear ordinary differential boundary-value problem is solved numerically by using shooting method. Effects of static-dynamic load on the transverse deflection, frequencies and amplitudes are examined in details. The resonance phenomenon is discussed emphatically.
Yu Zhou, Shan-Tung Tu and Xishan Xie
Y. G. Zhao et al., "Nonlinear Response of Clamped Circular Plates Subjected to Transverse Excitation Load", Key Engineering Materials, Vols. 353-358, pp. 2720-2723, 2007