Vibration Analysis of Composite Laminated Plates Using Higher-Order Shear Deformation Theory with Zig-Zag Function

摘要

The ever increasing use of composite materials in advanced technology areas like aerospace, automotive, and sports equipments, have prompted to play a prominent role. A theory which can predict accurately the behavior of the composite structure and the failure mechanism is very much essential. In this work an analytical procedure is developed, to investigate the free vibration characteristics of different laminated composite plates based on higher order shear displacement model with zig-zag function. This function improves slope discontinuities at the interfaces of laminated composite plates. The related functions are obtained using the dynamic version of principle of virtual work or Hamilton's principle. The solutions are obtained using Navier's and numerical methods for anti-symmetric cross-ply and angle-ply laminates with a specific type of simply supported boundary conditions SS-1 and SS-2 respectively. In this paper the Numerical results are presented for free vibration of anti-symmetric cross-ply and angle-ply laminated plates. All the solutions presented are close agreement with the theory of elasticity and closed form solutions available in the literature.