Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/59585
Title: Assessment of timoshenko beam models for vibrational behavior of single-walled carbon nanotubes using molecular dynamics
Authors: Zhang, Y.Y. 
Wang, C.M. 
Tan, V.B.C. 
Keywords: Carbon nanotubes
Molecular dynamics
Timoshenko beam models
Vibration
Issue Date: 2009
Source: Zhang, Y.Y.,Wang, C.M.,Tan, V.B.C. (2009). Assessment of timoshenko beam models for vibrational behavior of single-walled carbon nanotubes using molecular dynamics. Advances in Applied Mathematics and Mechanics 1 (1) : 89-106. ScholarBank@NUS Repository.
Abstract: In this paper, we study the flexural vibration behavior of single-walled carbon nanotubes (SWCNTs) for the assessment of Timoshenko beam models. Extensive 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-to-diameter ratios, boundary conditions, chiral angles and initial strain. The effectiveness of the local and nonlocal Timoshenko beam models in the vibration analysis is assessed using the vibration frequencies of MD simulations as the benchmark. It is shown herein that the Timoshenko beam models with properly chosen parameters are applicable for the vibration analysis of SWCNTs. The simulation results show that the fundamental frequencies are independent of the chiral angles, but the chirality has an appreciable effect on higher vibration frequencies. The SWCNTs is very sensitive to the initial strain even if the strain is extremely small. © 2009 Global Science Press.
Source Title: Advances in Applied Mathematics and Mechanics
URI: http://scholarbank.nus.edu.sg/handle/10635/59585
ISSN: 20700733
Appears in Collections:Staff Publications

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