Abstract
In this paper, the nonlocal Euler-Bernoulli beam model is used to predict the static and dynamic structural instability of carbon nanotubes (CNTs) subjected to a distributed tangential compressive load. The CNT is considered to be embedded in a Kelvin-Voigt viscoelastic medium. Equation of motion and boundary conditions are obtained using the extended Hamilton’s principle and the extended Galerkin’s method is applied in order to transform the resulting equations into a general eigenvalue problem. The derived equations are validated by comparing the results achieved from the new derivations with existing solutions in literature. Effects of several experimentally interesting boundary conditions are considered on the stability characteristics of the CNT. Moreover, the influences of small scale parameter and material properties of the surrounding viscoelastic medium on the stability boundaries are examined.
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S. Ahmad Fazelzadeh was born in 1967 in shiraz. He received his B.Sc. and M.Sc. degrees in Mechanical Engineering from Shiraz University and Sharif University of Technology in 1992 and 1994, respectively. He received his Ph.D. degrees in Aerospace Engineering from the Sharif University of Technology in 2002. Dr. Fazelzadeh is currently Professor at the School of Mechanical Engineering, Shiraz University. Research interests focus on smart materials and structures, nanostructures, dynamical systems and aeroelasticity. His research, with the collaboration of his research assistants, has resulted in approximately 120 journal/conference publications.
Esmaeal Ghavanloo received his B.Sc. and M.Sc. degrees in Mechanical Engineering from Shiraz University in 2007 and 2009, respectively. He is currently a Ph.D. candidate at Shiraz University. His research interests focus on the mechanics of nanostructures, fluid-structure interaction problems and pliable structures.
Mohammad Ali Kazemi-Lari received his B.Sc. degree of applied mechanics from Shiraz university, in Shiraz, Iran, in 2009. He then received his M.Sc. degree of applied design from Shiraz University, in 2012. His research interests are nanomechanics, structural dynamics and stability, and nonconservative systems.
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Kazemi-Lari, M.A., Ghavanloo, E. & Ahmad Fazelzadeh, S. Structural instability of carbon nanotubes embedded in viscoelastic medium and subjected to distributed tangential load. J Mech Sci Technol 27, 2085–2091 (2013). https://doi.org/10.1007/s12206-013-0522-z
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DOI: https://doi.org/10.1007/s12206-013-0522-z