Free vibration analysis of honeycomb doubly curved shell integrated with CNT-reinforced piezoelectric layers
Elyas Mohammad-Rezaei Bidgoli, Mohammad Arefi, Mehdi Mohammadimehr
Abstract
The present article studies free vibration analysis of sandwich doubly curved shell composed of a honeycomb core and carbon nanotubes (CNTs) reinforced piezoelectric face-sheets. First-order shear deformation theory as well as Hamilton’s principle is employed to derive the governing equations of motion. The effective material properties of core and face-sheets are estimated using the Gibson's formula and extended rule of mixture, respectively. The governing equations of motion are solved for simply supported boundary conditions to investigate the variation of natural frequencies of sandwich doubly curved shell in terms of important parameters of core and face-sheets such as side length ratio and length to thickness ratio of honeycomb cell, volume fraction, and distribution of CNTs and overall geometric parameters of the sandwich doubly curved shell. It is concluded that the maximum and minimum values of natural frequencies are obtained for FG-VA and FG-AV, respectively.