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In-plane free vibrations of annular elliptic and circular elastic plates of non-uniform thickness under classical boundary conditions

Hassani, A ; Sharif University of Technology

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  1. Type of Document: Article
  2. Abstract:
  3. This paper presents a formulation for in-plane modal characteristics of non-uniform thickness annular elliptic and circular plates for all classical boundary conditions. The investigations are performed for elastic and isotropic annular elliptic plates on the basis of two- dimensional linear plane stress theory of elasticity. Two-dimensional boundary characteristic orthogonal polynomials (BCOP) are used in the Rayleigh-Ritz method to obtain the natural frequencies and associated mode shapes. The proposed method, not only can find solution for those simple cases of annular circular plates available in literature as a simplified case study, but also it finds some natural frequencies which can not be determined by using one dimensional BCOPs. Finally the results of present method have been compared with those of finite element analysis carried out in this research. Good agreement has been observed and reported
  4. Keywords:
  5. Elliptical plate ; In plane free vibration ; Non-uniform thickness ; Rayleigh-ritz
  6. Source: International Review of Mechanical Engineering ; Volume 4, Issue 1 , 2010 , Pages 112-119 ; 19708734 (ISSN)
  7. URL: http://connection.ebscohost.com/c/articles/48570873/in-plane-free-vibrations-annular-elliptic-circular-elastic-plates-non-uniform-thickness-under-classical-boundary-conditions