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Free Vibration Analysis of Single-Walled Carbon Nanotubes Based on the Nonlocal Higher-Order Cylindrical Beam Model

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In this paper, the free vibration behavior of single-walled carbon nanotubes (SWCNTs) is presented via a higher-order theory of nonlocal elastic cylindrical beams by taking the rotary inertia, shear deformation and small scale effect into account simultaneously. In our model, the shear-free surface condition is identically satisfied and does not need to introduce the shear correction factor. The characteristic equations of natural frequencies and the expressions of vibration mode shapes are derived in closed form for different boundary conditions. Compared our numerical results with those obtained by the molecular dynamics simulation, the effectiveness and validity of the present model are examined. The effects of the length-to-diameter ratio, the scale coefficient, the Poisson's ratio, chirality and boundary conditions on the free vibration of SWCNTs are investigated.
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Document Type: Research Article

Publication date: March 1, 2018

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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