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.

摘要

本文研究了由蜂窝芯和碳纳米管 (CNTs) 增强的压电面板组成的夹层双曲面壳的自由振动分析。一阶剪切变形理论以及哈密顿原理被用来推导运动的控制方程。芯和面板的有效材料特性分别使用吉布森公式和混合扩展规则进行估计。求解简支边界条件下的运动控制方程，以研究夹层双曲壳的固有频率在核心和面板的重要参数方面的变化，例如蜂窝单元的边长比和长厚比，体积分数，碳纳米管的分布和夹层双曲面壳的整体几何参数。得出的结论是，分别获得了 FG-VA 和 FG-AV 的固有频率的最大值和最小值。