Free vibration and nonlinear dynamic response of imperfect nanocomposite FG-CNTRC double curved shallow shells in thermal environment

Abstract

Analytical solutions for the nonlinear vibration of imperfect functionally graded nanocomposite (FG-CNTRC) double curved shallow shells on elastic foundations subjected to mechanical load in thermal environments are introduced in this paper. The double curved shallow shells are reinforced by single-walled carbon nanotubes (SWCNTs) which are assumed to be graded through the thickness direction according to the different types of linear functions. Motion and compatibility equations are derived using Reddy's higher order shear deformation shell theory and taking into account the effects of initial geometrical imperfection and temperaturedependent properties. The deflectiontime curve and the natural frequency are determined by using Galerkin method and fourthorder Runge -Kutta method. The effects geometrical parameters, elastic foundations, initial imperfection, temperature increment, mechanical loads and nanotube volume fraction on the nonlinear thermal vibration of the nanocomposite double curved shallow shells are discussed in numerical results. The 2 accuracy of present approach and theoretical results is verified by some comparisons with the known data in the literature.

Nonlinear Dynamic Response and Vibration of 2D Penta-graphene Composite Plates Resting on Elastic Foundation in Thermal Environments

“…The plate made from functionally material with piezoelectric layer, and outside stiffeners. In [20], dynamic response and vibration of double-curved shells which made from functionally graded nanocomposite have been studied base on higher-order shear deformation theory. Li et al [21] investigated the nonlinear dynamic response sheet with triple-layer.…”