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Transverse Vibration of a Hanging Nonuniform Nanoscale Tube Based on Nonlocal Elasticity Theory with Surface Effects

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Abstract

The aim of this paper is to study the free transverse vibration of a hanging nonuniform nanoscale tube. The analysis procedure is based on nonlocal elasticity theory with surface effects. The nonlocal elasticity theory states that the stress at a point is a function of strains at all points in the continuum. This theory becomes significant for small-length scale objects such as micro- and nanostructures. The effects of nonlocality, surface energy and axial force on the natural frequencies of the nanotube are investigated. In this study, analytical solutions are formulated for a clamped-free Euler-Bernoulli beam to study the free vibration of nanoscale tubes.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Iran University of Science & Technology (IUST), Tehran, Islamic Republic of Iran

    Hossein Roostai & Mohammad Haghpanahi

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  1. Hossein Roostai
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  2. Mohammad Haghpanahi
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Correspondence to Hossein Roostai.

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Roostai, H., Haghpanahi, M. Transverse Vibration of a Hanging Nonuniform Nanoscale Tube Based on Nonlocal Elasticity Theory with Surface Effects. Acta Mech. Solida Sin. 27, 202–209 (2014). https://doi.org/10.1016/S0894-9166(14)60030-6

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  • DOI: https://doi.org/10.1016/S0894-9166(14)60030-6

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