Equivalent Stiffness Methods for Free Vibration and Bending of Bimodular Composite Laminated Thick Curved Beam

Abstract

In this research work an attempt has been made to analyzed the bending and free vibration behavior of bimodular composite material laminated thick curved beam based on first order shear deformation theory (FSDT). The effect of coupling parameter is more severe in bimodular laminated beam as compare to unimodular laminated beam. Therefore, equivalent stiffness methods (VS and RC) are used to incorporate the effect of all the coupling parameters. In the present analysis uniformly distributed load in transverse direction is considered. Hamilton’s principle is applied to elaborate governing equations from energy functional, and the equations are solved by analytical method. The position of neutral axis, transverse deflection, through the thickness strain distribution and frequencies for positive and negative side bending are presented for different bimodular composite material laminated curved beam. The results are presented for different stacking sequence and geometric parameter of the beam. The non-dimensional neutral surface location, positive and negative side bending deflections and positive and negative half cycle frequencies are having same magnitude for [00]4 or [00/900]s laminated curved beam of Material 1 (Aramid Rubber), and for Material 2 (Polyester Rubber) they are not same.