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Vibration of rotating functionally graded timoshenko nano-beams with nonlinear thermal distribution

Azimi, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1080/15376494.2017.1285455
  3. Abstract:
  4. The vibration analysis of rotating, functionally graded Timoshenko nano-beams under an in-plane nonlinear thermal loading is studied for the first time. The formulation is based on Eringen's nonlocal elasticity theory. Hamilton's principle is used for the derivation of the equations. The governing equations are solved by the differential quadrature method. The nano-beam is under axial load due to the rotation and thermal effects, and the boundary conditions are considered as cantilever and propped cantilever. The thermal distribution is considered to be nonlinear and material properties are temperature-dependent and are changing continuously through the thickness according to the power-law form. © 2017 Taylor & Francis Group, LLC
  5. Keywords:
  6. Cantilever boundary condition ; Rotating nano-beam ; Boundary conditions ; Differentiation (calculus) ; Elasticity ; Nanocantilevers ; Thermal effects ; Thermal stress ; Differential quadrature methods ; Governing equations ; Hamilton's principle ; Nano beams ; Non-local elasticity theories ; Temperature dependent ; Thermal distributions ; Timoshenko model ; Vibration analysis
  7. Source: Mechanics of Advanced Materials and Structures ; 2017 , Pages 1-14 ; 15376494 (ISSN)
  8. URL: https://www.tandfonline.com/doi/abs/10.1080/15376494.2017.1285455?journalCode=umcm20