Free Vibration of Cross-ply Composite Plates by a High-Order Shear Deformable Finite Element

Abstract

Abstract
Free vibration analysis of composite rectangular plates with different thickness ratios, different boundary conditions and different aspect ratios has been investigated using a high-order shear flexible triangular plate element. The first order shear deformation theory (FOSDT) is used to include the effect of transverse shear deformation. The element has eighteen nodes on the sides and seven internal nodes. Element geometry is expressed in terms of three linear shape functions of area coordinates. The formulation is displacement type. The element has seventy-one degrees of freedom, which has been reduced to fifty-seven degrees of freedom by Guyan reduction scheme for the degrees of freedom associated with the internal nodes. Rotary inertia has been included in the consistent mass matrix. Numerical examples are presented to show the accuracy and convergence characteristics of the element.
Keywords: Shear deformation, Guyan reduction scheme, rotary inertia, consistent mass matrix

Cite this Article
Mihir Chandra Manna, Mainak Manna. Free Vibration of Cross-ply Composite Plates by A High-Order Shear Deformable Finite Element. Research & Reviews: Journal of Physics. 2016; 5(3): 36–47p.