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On the large amplitude free vibrations of tapered beams: an analytical approach

Hoseini, S. H ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1016/j.mechrescom.2009.08.003
  3. Publisher: Elsevier , 2009
  4. Abstract:
  5. In this study, the homotopy analysis method is used to obtain an accurate analytical solution for fundamental non-linear natural frequency and corresponding displacement of tapered beams. Comparison between the obtained results and numerical solutions shows that the first-order approximation of present study leads to accurate solutions with a maximum relative error less than 0.5%
  6. Keywords:
  7. Analytical solution ; Homotopy analysis method ; Homotopy pade technique ; Non-linear vibration ; Tapered beam ; Vibration analysis
  8. Source: Mechanics Research Communications ; Volume 36, Issue 8 , 2009 , Pages 892-897 ; 00936413 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0093641309001219