Abstract
This paper studies the vibrational behavior of nonuniform single-walled carbon nanotube (SWCNT) carrying a nanoparticle. A nonuniform cantilever beam with a concentrated mass at the free end is analyzed according to the nonlocal Timoshenko beam theory. A governing equation of a nonuniform SWCNT with attached mass is established. The transfer function method incorporating with the perturbation method is utilized to obtain the resonant frequencies of a vibrating nonlocal cantilever-mass system. The effects of the nonlocal parameter, taper ratio and attached mass on the natural frequencies and frequency shifts are discussed. Obtained results indicate that the sensitivity of the frequency shifts on the attached mass increases when the length-to-diameter ratio decreases. Tapered SWCNT possesses higher fundamental frequencies if the taper ratio becomes larger.
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Recommended by Associate Editor Jin Weon Kim
Hai-Li Tang received his M.S. degree from the National University of Defense Technology (NUDT), China, in 2013. Mr. Li is currently an engineer in the College of Aerospace Science and Engineering, NUDT. His research interests include vibration analyses of carbon nanotubes and Graphene sheets.
Daokui Li received his Ph.D. in solid mechanics from the National University of Defense Technology (NUDT), China, in 2002. From 2011 to 2012, he worked as a visiting scholar at the School of Engineering, University of Glasgow in the U.K. Dr. Li is currently a professor at the College of Aerospace Science and Engineering, NUDT. His research interests include composite structural mechanics and computational solid mechanics.
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Tang, HL., Shen, ZB. & Li, DK. Vibration of nonuniform carbon nanotube with attached mass via nonlocal Timoshenko beam theory. J Mech Sci Technol 28, 3741–3747 (2014). https://doi.org/10.1007/s12206-014-0835-6
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DOI: https://doi.org/10.1007/s12206-014-0835-6