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Nonlinear thermo-mechanical vibration analysis of functionally graded beams

Fallah, A ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1115/DETC2011-48399
  3. Publisher: 2011
  4. Abstract:
  5. In this paper, nonlinear thermo-mechanical free vibration analysis of functionally graded (FG) beams investigated. Euler-Bernoulli assumptions together with Vo n Karman's strain-displacement relation are employed to derive the nonlinear governing partial differential equation (PDE) of motion. He's variational method is employed to obtain a simple and efficient approximate closed form solution of the nonlinear governing equation. Comparison between results of the present work and those available in literature shows the accuracy of presented technique. Some new results for the nonlinear natural frequencies of the FG beams such as the effect of vibration amplitude, material inhomogeneity and thermal loading are presented for future references
  6. Keywords:
  7. Closed form solutions ; Effect of vibration ; Euler-Bernoulli ; Free-vibration analysis ; Functionally graded ; Functionally graded beams ; Governing equations ; Material inhomogeneity ; New results ; Strain-displacement relation ; Thermal loadings ; Thermo-mechanical ; Variational methods ; Design ; Partial differential equations ; Vibration analysis ; Nonlinear equations
  8. Source: Proceedings of the ASME Design Engineering Technical Conference, 28 August 2011 through 31 August 2011, Washington, DC ; Volume 1, Issue PARTS A AND B , 2011 , Pages 787-792 ; 9780791854785 (ISBN)
  9. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1639214