Nonlinear free vibration analysis of a plate-cavity system

Free vibration of a plate-cavity system is analytically studied in this paper. For this purpose, a rectangular enclosure composed of one flexible and five rigid walls are taken into account. The flexible wall is modeled by the Von-Karman plate theory and the Galerkin method is employed to derive interior acoustic pressure and subsequent equations of motion. Harmonic balance approach, variational iteration method (VIM) and direct integration method are employed to determine nonlinear natural frequencies of the coupled system. A parametric study is then carried out and effects of different parameters on the value of frequency ratio are studied.