FREE-VIBRATION RESPONSE OF SMEAR-DEFORMABLE ANTISYMMETRIC CROSS-PLY CYLINDRICAL PANELS

A hitherto unavailable analytical solution to the boundary value probl em of free vibration response of shear-flexible antisymmetric cross-pl y laminated cylindrical panels is presented. The equivalent single lay er approach based on a first order shear deformation theory including rotary and in-plane inertias is incorporated into the shell formulatio n. The characteristic equations of the panel are defined by five highl y coupled second and third order partial differential equations in fiv e unknowns, i.e., three displacements, and two rotations. A recently d eveloped solution methodology, based on a boundary-continuous double F ourier series approach. is utilized to solve the eigenvalue problem. N umerical results presented for various parametric effects such as leng th-to-thickness ratio, radius-to-thickness ratio, aspect ratio, and ma jor-to-minor modulus ratio, etc., should serve as a bench mark for fut ure comparison. A four-node shear-flexible finite element is selected to compare the results with the present solution. (C) 1998 Academic Pr ess.