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Thermo-mechanical vibration of orthotropic cantilever and propped cantilever nanoplate using generalized differential quadrature method

Ghadiri, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1080/15376494.2016.1196770
  3. Abstract:
  4. In this article, the vibration frequency of an orthotropic nanoplate under the effect of temperature change is investigated. Using nonlocal elasticity theory, governing equations are derived. Based on the generalized differential quadrature method for cantilever and propped cantilever boundary conditions, the frequencies of orthotropic nanoplates are considered and the obtained results are compared with valid reported results in the literature. The effects of temperature variation, small scale, different boundary conditions, aspect ratio, and length on natural nondimensional frequencies are studied. The present analysis is applicable for the design of rotating and nonrotating nano-devices that make use of thermo-mechanical vibration characteristics of nanoplates. © 2017 Taylor & Francis Group, LLC
  5. Keywords:
  6. Cantilever nanoplate ; Generalized differential quadrature method ; Propped cantilever nanoplate ; Thermo-mechanical vibration ; Aspect ratio ; Boundary conditions ; Differentiation (calculus) ; Elasticity ; Nanocantilevers ; Nanostructures ; Temperature ; Vibration analysis ; Different boundary condition ; Generalized differential quadrature methods ; Nano-Plate ; Non-dimensional frequency ; Non-local elasticity theories ; Orthotropic cantilevers ; Orthotropic nanoplate ; Vibration characteristics ; Vibrations (mechanical)
  7. Source: Mechanics of Advanced Materials and Structures ; Volume 24, Issue 8 , 2017 , Pages 636-646 ; 15376494 (ISSN)
  8. URL: https://www.tandfonline.com/doi/abs/10.1080/15376494.2016.1196770?journalCode=umcm20