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On size-dependent free vibration and thermal buckling of axially functionally graded nanobeams in thermal environment

Mirjavadi, S. S ; Sharif University of Technology | 2017

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  1. Type of Document: Article
  2. DOI: 10.1007/s00339-017-0918-1
  3. Publisher: Springer Verlag , 2017
  4. Abstract:
  5. This article aims to study the buckling and free vibrational behavior of axially functionally graded (AFG) nanobeam under thermal effect for the first time. The temperature is considered to be constant and variable along thickness and different boundary conditions. The governing equation is developed using the Hamilton’s principle considering the axial force. The Euler–Bernoulli beam theory is used to model the nanobeam, and Eringen’s nonlocal elasticity theory is utilized to consider the nano-size effect. The generalized differential quadrature method (GDQM) is used to solve the equations. The small-scale parameter, AFG power index, thermal distribution, different functions of temperature increase for different boundary conditions are given in detail. © 2017, Springer-Verlag Berlin Heidelberg
  6. Keywords:
  7. Boundary conditions ; Buckling ; Differentiation (calculus) ; Elasticity ; Bernoulli beam theory ; Different boundary condition ; Generalized differential quadrature methods ; Non-local elasticity theories ; Temperature increase ; Thermal distributions ; Thermal environment ; Vibrational behavior ; Nanowires
  8. Source: Applied Physics A: Materials Science and Processing ; Volume 123, Issue 5 , 2017 , 315 ; 09478396 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s00339-017-0918-1