Vibration analysis of a pre-stressed curved thin plate

In this study, the free vibration analysis of cantilever isotropic thin plate, which is a large deflected, is investigated. The large deflection is obtained by applying an external distributed vertical load on the cantilever plate then fixing from the other end as the deflection is large. The non linear deflection curve of the largely deflected flexible plate is obtained from the large deflection equation of the beams. The curved thin plate is modeled by using the finite element method considering a four-node quadrilateral flat shell element. The effects of the load parameter on the natural frequency parameters and mode shapes are investigated. The results are given in tables and graphics. In addition, the natural frequency parameters obtained from the present model are compared with those of ANSYS software to verify the reliability and validity of the present model. The load parameter that forms the curved thin plate changes mode shapes of the plate structure.