Analytical method for vibration of angle-ply cylindrical shells having arbitrary edges

Abstract

A theoretical method is presented for solving the free vibration of angle-ply laminated cylindrical shells. The angle-ply laminated shell is macroscopically modeled as a thin shell of general anisotropy by using the classical lamination theory. The functional derived from the Flugge-type shell theory is minimized by following the Ritz procedure, and arbitrary combinations of boundary conditions at both ends are accommodated by introducing newly developed admissible functions. A computer code is made to verify the validity of the present method, and the natural frequencies and mode shapes of the laminated cylindrical shells are given for some typical edge conditions numerically.