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Dynamic analysis of nonlinear elastically supported plates subjected to subsonic flow and external excitation has been discussed in this paper. The plate has been assumed as von-Kàrmàn plate. Kelvin’s structural damping model has been used to derive the governing equation of motion. The elastic support has also been considered as combination of nonlinear springs and linear dampers. The governing equation of motion has been derived in the non-dimensional forms. Transferring the partial differential equation of motion into an ordinary one has been conducted using Galerkin’s approach. The pressure distribution acting on the surface of the plate has been obtained in order to model the flow passing through the plate. Perturbation technique has also been employed to solve the nonlinear equation of motion in the non-resonance condition. The pressure distribution contours, pressure time evolution and the responses of the plate have been demonstrated. Finally, a parametric study on the dynamical behavior of the plate has been carried out. [ABSTRACT FROM AUTHOR]

Frequency analysis of the nonlinear viscoelastic plates subjected to the subsonic fluid flow and external loads is presented in this paper. Von-Kàrmàn plate assumptions have been applied and the governing equation of motion of the plate has been derived considering Kelvin׳s structural damping model. Nono-dimensional forms of the governing equations are derived and the Galerkin׳s approach is employed to discretize the continuous system. Using Bernoulli׳s principal, the pressure distribution formula is obtained to model the fluid flow affecting the plate. Multiple Scales method has been used to solve the nonlinear equation of motion. Frequency response curves, time history responses and state space graphs have been obtained for the non-resonance, primary resonance, super-harmonic resonance and sub-harmonic resonance cases. Stability of the solutions has been analyzed and in a parametric study, effects of different parameters on the frequency responses have been studied. [ABSTRACT FROM AUTHOR]