Instability characteristics of damped CNT reinforced laminated shell panels subjected to in-plane excitations and thermal loading

Abstract

The present investigation illustrates the parametric instability of damped functionally graded carbon nanotube (CNT) reinforced composite cylindrical panel subjected to periodic in-plane excitations and thermal environment. The Rayleigh damping is taken into consideration to incorporate the damping in the present formulation. The shell panel model accounts for the shear deformation theory of higher-order and geometric nonlinearity of the von-Kármán type. The functional properties of the material for carbon nanotube reinforced composite (CNTRC) panels are considered to be temperature-dependent. The governing partial differential equations (PDE) are transformed into ordinary differential equations (ODE) through Galerkin’s approach. The dynamic instability regions are obtained for the periods T and 2T as suggested by Bolotin, and the time history responses are evaluated following Newmark’s integration technique. Numerical investigation examined the influence of damping on the parametric instability of CNTRC shell panels. In addition to this, the present analysis also explores the effect of CNT distribution, volume fraction, curvature effect, thermal environment, and static pre-loading on the instability responses of the shell panels.