Carbon nanotubes have received a lot of attention since their introduction in 1991 because of novel properties that show substantial promises for use in many applications. Their usage depends on the strength of our knowledge of their properties. In this work, molecular mechanics approach is used to study the mechanical properties of multi-wall carbon nanotubes. In particular this paper investigates fundamental frequency of double walled carbon nanotubes. Carbon nanotubes are big and long molecules that can be regarded as mechanical structures. In modeling of multi-walled carbon nanotubes, two distinct atomic bonds are required to be modeled, i.e. covalent bonds between the neighboring carbon atoms in the same layer and Van der Waals bonds between close atoms in neighboring layers. In this approach, for modeling of each wall; covalent bonds are modeled by beam joints such that atoms are considered to be concentrated masses at the ends. Interactions of neighboring walls that are mainly due to Van der Waals forces are treated to be truss rods in modeling. The most challenging aspect of modeling is to define truss rod properties as they are highly nonlinear. We utilized an averaging method for finding truss rod properties. Finite Element Method is employed to obtain Fundamental frequencies. Results are compared to available researches and a close agreement is observed. Results indicate that by increasing aspect ratio, fundamental frequency of double walled nanotubes decrease. In addition, double walled carbon nanotubes have higher fundamental frequencies at clamp-clamp in comparison to clamp-free condition; however, this difference becomes negligible as aspect ratio increases.
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ASME 2011 International Mechanical Engineering Congress and Exposition
November 11–17, 2011
Denver, Colorado, USA
Conference Sponsors:
- ASME
ISBN:
978-0-7918-5497-6
PROCEEDINGS PAPER
Investigation of the Fundamental Frequency of Double Walled Carbon Nanotubes Using Molecular Mechanics Approach by an Averaging Van Der Waals Forces Modeling
Ehsan Asadi,
Ehsan Asadi
Simon Fraser University, Surrey, BC, Canada
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Ali Karimzade,
Ali Karimzade
Shiraz University, Shiraz, Fars, Iran
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Mehrdad Farid
Mehrdad Farid
Shiraz University, Shiraz, Fars, Iran
Search for other works by this author on:
Ehsan Asadi
Simon Fraser University, Surrey, BC, Canada
Ali Karimzade
Shiraz University, Shiraz, Fars, Iran
Mehrdad Farid
Shiraz University, Shiraz, Fars, Iran
Paper No:
IMECE2011-62962, pp. 87-96; 10 pages
Published Online:
August 1, 2012
Citation
Asadi, E, Karimzade, A, & Farid, M. "Investigation of the Fundamental Frequency of Double Walled Carbon Nanotubes Using Molecular Mechanics Approach by an Averaging Van Der Waals Forces Modeling." Proceedings of the ASME 2011 International Mechanical Engineering Congress and Exposition. Volume 11: Nano and Micro Materials, Devices and Systems; Microsystems Integration. Denver, Colorado, USA. November 11–17, 2011. pp. 87-96. ASME. https://doi.org/10.1115/IMECE2011-62962
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