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Free vibration of thin circular plates resting on an elastic foundation with a variable modulus

Foyouzat, M. A ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1061/(ASCE)EM.1943-7889.0001050
  3. Abstract:
  4. An exact solution is established pertaining to the problem of undamped free vibration of a thin circular plate resting on a Winkler foundation with variable subgrade modulus. The solution is performed by applying the infinite power series method. Moreover, the solution procedure is demonstrated through an illustrative example, wherein the general frequency equation is derived for two different boundary conditions. The correctness of the solution is also verified using results available in the literature. Finally, it is shown that the proposed method of solution is directly applicable to the more-general problem of circular plates on a variable-modulus Pasternak-type foundation
  5. Keywords:
  6. Circular plate ; Series solution ; Variable-modulus pasternak foundation ; Variable-modulus Winkler foundation ; Foundations ; Plates (structural components) ; Circular plates ; Different boundary condition ; Pasternak foundation ; Power series method ; Series solutions ; Solution procedure ; Thin circular plates ; Winkler foundations ; Vibrations (mechanical) ; Boundary condition ; Computer simulation ; Elastic modulus ; Mathematical analysis ; Numerical model ; Soil-structure interaction ; Subgrade ; Vibration ; Winkler foundation
  7. Source: Journal of Engineering Mechanics ; Volume 142, Issue 4 , 2016 ; 07339399 (ISSN)
  8. URL: http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0001050