Free vibration response of smear-deformable antisymmetric cross-ply cylindrical panels

摘要

A hitherto unavailable analytical solution to the boundary value problem of free vibration response of shear-flexible antisymmetric cross-ply laminated cylindrical panels is presented. The equivalent single layer approach based on a first order shear deformation theory including rotary and in-plane inertias is incorporated into the shell formulation. The characteristic equations of the panel are defined by five highly coupled second and third order partial differential equations in five unknowns, i.e., three displacements, and two rotations. A recently developed solution methodology, based on a boundary-continuous double Fourier series approach. is utilized to solve the eigenvalue problem. Numerical results presented for various parametric effects such as length-to-thickness ratio, radius-to-thickness ratio, aspect ratio, and major-to-minor modulus ratio, etc., should serve as a bench mark for future comparison. A four-node shear-flexible finite element is selected to compare the results with the present solution. (C) 1998 Academic Press. [References: 46]