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Advances in Materials Science and Engineering
Volume 2014, Article ID 815340, 9 pages
Research Article

Numerical Simulation of the Vibration Behavior of Curved Carbon Nanotubes

1Department of Solid Mechanics and Design, Faculty of Mechanical Engineering, Universiti Teknologi Malaysia (UTM), 81310 Skudai, Johor, Malaysia
2Laboratory of Building Physics (LFC), Civil Engineering Department, Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal
3Department of Mechanical Engineering, Federal University of Campina Grande, 58429-900 Campina Grande, PB, Brazil, Brazil
4School of Engineering, Griffith University, Gold Coast Campus, Southport, QLS 4222, Australia
5School of Engineering, The University of Newcastle, Callaghan, NSW 2308, Australia

Received 20 February 2014; Accepted 22 April 2014; Published 29 May 2014

Academic Editor: Bin Li

Copyright © 2014 Sadegh Imani Yengejeh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Several zigzag and armchair single-walled carbon nanotubes (CNTs) were modeled by a commercial finite element package and their vibrational behavior was studied. Numerous computational tests with different boundary conditions and different bending angles were performed. Both computational and analytical results were compared. It was shown that the computational results are in good agreement with the analytical calculations in the case of straight tubes. In addition, it was concluded that the natural frequency of straight armchair and zigzag CNTs increases by increasing the chiral number of both armchair and zigzag CNTs. It was also revealed that the natural frequency of CNTs with higher chirality decreases by introducing bending angles. Nevertheless, the influence of increasing bending angle on the natural frequency of armchair and zigzag CNTs with lower chiral number is almost negligible.