Nonlinear free vibration of cylindrical shells with delamination using high order shear deformation theory:-A finite element approach

Abstract

A dynamic analysis method has been developed to investigate and characterize embedded delamination on the dynamic response of composite laminated structures. A nonlinear finite element model for geometrically large amplitude free vibration intact shallow cylindrical and delamination shell analysis is presented using higher order shear deformation theory where the nonlinearity was introduced in the Green-Lagrange sense. The governing equation of the vibrated shell were derived using the Variational approach. The effect of different orthotropicity ratio, and delamination size on the non-dimenational fundamental frequency and frequency ratios of plate for different stacking sequences. Finally the results were compared with those available in literatures where the discrepancy of the results was (15.8022 % with considering the nonlinearity).