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Acta Mechanica Solida Sinica

, Volume 27, Issue 2, pp 202–209 | Cite as

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

  • Hossein Roostai
  • Mohammad Haghpanahi
Article

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.

Key Words

nonlocal elasticity theory vibration surface effects nanoscale tube 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2014

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringIran University of Science & Technology (IUST)TehranIslamic Republic of Iran

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