Vibration analysis of the porous metal cylindrical curved panel by using the differential quadrature method

In this paper, the natural vibration characteristic of the porous metal cylindrical curved panel under the spring supported boundary conditions is studied. The material of cylindrical curved plate is porous metal, and in thickness direction, three types of porosity distribution are considered. Theoretical formulations for the free vibration of the cylindrical curved panel are established using the first-order shear deformation theory (FSDT) and Hamilton's principle, and a novel dynamics system for porous cylindrical curved panel in physical space is presented. Then, by employing differential quadrature method (DQM), the governing equations of natural vibration in form of partial differential equation and equations describing boundary conditions are discretized into algebraic equations. Unified solution for free vibration of curved panel with arbitrary boundary conditions is obtained. The system's mode shapes and natural frequencies are identified. Moreover, the influence of geometric dimensions, spring stiffness, porosity and types of distribution on the natural vibration of the cylindrical curved panel are studied in detail. The results show that the approach proposed here can efficiently extract analytical expressions of vibration for cylindrical curved plate with arbitrary boundary conditions in physical space