Vibration and buckling analysis of curved panel subjected to combined internal pressure and axial compression

Combining Carrera Unified Formulation (CUF) with vibration correlaton technique (VCT), this paper discusses the change of the natural frequencies and the relevant modal shapes of an isotropic metallic cylindrical shell subjected to combined internal pessure and axial compression. Tensor calculus is employed to devise the differential operator matrices of the geometrical relation in an orthogonal curvilinear reference system. In the framework of CUF and applying the finite element method, the principle of virtual work is utilized to describe the free vibration of the curved panel subjected to progressive external loading conditions. Finally, numerical examples are provided, and the effects of the material and geometric characteristics are evaluated. The results show that crossing and veering phenomena between natural frequencies appear while varying the curvature of the panel and the value of the inner pressure, and those effects have to be taken into account for a proper design of this type of structure.