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On free vibration of functionally graded euler-bernoulli beam models based on the non-local theory

Moheimani, R ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2012-86107
  3. Publisher: 2012
  4. Abstract:
  5. In this paper, the governing equations and boundary conditions of a functionally graded Euler-Bernoulli beam are developed based on the non-local theory of elasticity. Afterward, the free vibration is investigated and the effects of the axial load, the non-local parameter and the power index on the natural frequency of a hinged-hinged beam is assessed. The results indicate that the non-local parameter has a decreasing effect on the frequency while the power index has an increasing effect. It is also noted that the effect of the axial load is increasing too
  6. Keywords:
  7. Decreasing effect ; Euler Bernoulli beams ; Euler-bernoulli beam models ; Free vibration ; Functionally graded ; Governing equations ; Increasing effect ; Nonlocal theory ; Axial loads ; Elasticity ; Wave propagation ; Mechanical engineering
  8. Source: ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE) ; Volume 12 , 2012 , Pages 169-173 ; 9780791845288 (ISBN)
  9. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1751927