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An analytical solution for free vibration of elastically restrained timoshenko beam on an arbitrary variable winkler foundation and under axial load

Ghannadiasl, A ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1590/1679-78251504
  3. Abstract:
  4. Natural frequencies are important dynamic characteristics of a structure where they are required for the forced vibration analysis and solution of resonant response. Therefore, the exact solution to free vibration of elastically restrained Timoshenko beam on an arbitrary variable elastic foundation using Green Function is presented in this paper. An accurate and direct modeling technique is introduced for modeling uniform Timoshenko beam with arbitrary boundary conditions. The applied method is based on the Green Function. Thus, the effect of the translational along with rotational support flexibilities, as well as, the elastic coefficient of Winkler foundation and other parameters are assessed. Finally, some numerical examples are shown to present the efficiency and simplicity of the Green Function in the new formulation
  5. Keywords:
  6. Free vibration ; General boundary conditions ; Timoshenko beam ; Winkler foundation and green function
  7. Source: Latin American Journal of Solids and Structures ; Volume 12, Issue 13 , 2015 , Pages 2417-2438 ; 16797817 (ISSN)
  8. URL: http://www.lajss.org/index.php/LAJSS/article/view/1504