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Free vibration analysis of general stepped circular plates with internal elastic ring support resting on Winkler foundation by green function method

Ghannadiasl, A ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1080/15397734.2015.1051228
  3. Publisher: Taylor and Francis Inc
  4. Abstract:
  5. Natural frequencies are important dynamic characteristics of a structure. Therefore, the exact solution pertaining to free vibration of stepped circular plate elastically restrained against rotation, translation, and internal elastic ring support resting on an arbitrary variable elastic foundation using Green Function is presented in this paper. Thus, an accurate and direct modeling technique is introduced for modeling stepped circular plate on an arbitrary variable elastic foundation with arbitrary boundary conditions and internal elastic ring support. 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 in order to present the efficiency and simplicity of the Green Function in the new formulation
  6. Keywords:
  7. Boundary conditions ; Foundations ; Plates (structural components) ; Vibrations (mechanical) ; Arbitrary boundary conditions ; Dynamic characteristics ; Elastic coefficient ; Free vibration response ; Free-vibration analysis ; General boundary conditions ; Stepped circular plate ; Winkler foundations ; Vibration analysis
  8. Source: Mechanics Based Design of Structures and Machines ; Volume 44, Issue 3 , 2016 , Pages 212-230 ; 15397734 (ISSN)
  9. URL: http://www.tandfonline.com/doi/abs/10.1080/15397734.2015.1051228