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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

    1. [1] University of Mohaghegh Ardabili

      University of Mohaghegh Ardabili

      Irán

    2. [2] Sharif University of Technology

      Sharif University of Technology

      Irán

  • Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 44, Nº. 3, 2016, págs. 212-230
  • Idioma: inglés
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • 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.


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