Assessment of Timoshenko Beam Models for Vibrational Behavior of Single-Walled Carbon Nanotubes using Molecular Dynamics

作     者：Y.Y.Zhang C.M.Wang V.B.C.Tan 

作者机构：Department of Mechanical EngineeringNational University of SingaporeKent RidgeSingapore 119260 Engineering Science Programme and Department of Civil EngineeringNational University of SingaporeKent RidgeSingapore 117574 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2009年第1卷第1期

页      面：89-106页

核心收录：

学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学] 

主　　题：Vibration carbon nanotubes molecular dynamics Timoshenko beam models 

摘      要：In this paper,we study the flexural vibration behavior of single-walled carbon nanotubes(SWCNTs)for the assessment of Timoshenko beam ***tensive molecular dynamics(MD)simulations based on second-generation reactive empirical bond-order(REBO)potential and Timoshenko beam modeling are performed to determine the vibration frequencies for SWCNTs with various length-todiameter ratios,boundary conditions,chiral angles and initial *** effectiveness of the local and nonlocal Timoshenko beam models in the vibration analysis is assessed using the vibration frequencies of MD simulations as the *** is shown herein that the Timoshenko beam models with properly chosen parameters are applicable for the vibration analysis of *** simulation results show that the fundamental frequencies are independent of the chiral angles,but the chirality has an appreciable effect on higher vibration *** SWCNTs is very sensitive to the initial strain even if the strain is extremely small.