Vibrational analysis of carbon nanocones under different boundary conditions: An analytical approach

Abstract

The purpose of this study is to analytically investigate the free vibration of carbon nanocones (CNCs) under different types of boundary conditions. The Donnell shell theory and nonlocal elasticity are used to derive the governing equations of motion. The analytical Galerkin method together with beam mode shapes as weighting functions is employed to solve the problem. Making use of the beam modal functions enables us to examine the role of boundary condition in the vibrational behavior of CNCs. The effects of boundary conditions, semivertex angle and nonlocal parameter on the response of CNCs are explored. © 2014 Elsevier Ltd. All rights reserved.