Periodic response of bimodular laminated composite cylindrical panels with and without geometric nonlinearity

Abstract

The combined influence of bimodularity, geometric nonlinearity and curvature on the dynamic response characteristics of bimodular material laminated composite cylindrical panels is investigated under periodic excitation. The analysis is carried out using Bert’s constitutive model and first order shear deformation theory based finite element. The geometrically nonlinear forced periodic response is obtained using shooting technique coupled with Newmark time marching, arc length/pseudo-arc length continuation algorithms. The effect of bimodularity, curvature, aspect ratio (a/b), radius to thickness ratio (r/h), boundary conditions, lamination scheme and small initial imperfection on the forced vibration response is analysed. The frequency response curves reveal significant difference in the positive and negative half cycle amplitudes for bimodular material panels which increases with the increase in curvature and bimodularity ratio. The through the thickness variations of normal strain/stress are presented to show the extent of assignment of tensile/compressive properties and restoring force due to combined influence of bimodularity and geometric nonlinearity. Period doubling and sub/super harmonic participations are observed for some cases.