Free vibration analysis of laminated composite plate using new higher order shear deformation plate theory

Abstract EN

In the present work a theoretical analysis depends on the new higher order element in shear deformation theory for simply supported cross-ply laminated plate is developed.

The new displacement field of the middle surface expanded as a combination of exponential and trigonometric function of thickness coordinate with the transverse displacement taken to be constant through the thickness.

The governing equations are derived using Hamilton’s principle and solved using Navier solution method to obtain the natural frequency.

The effect of many design parameters such as number of laminates, aspect ratio and thickness ratio on dynamic behavior of the laminated composite plate have been studied.

The modal of the present work has been verified by comparing the results of shape functions with that obtained by other worker.

Result shows the good agreement with 3D elasticity solution and that published by other researcher.