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Free vibration analysis of moderately thick trapezoidal symmetrically laminated plates with various combinations of boundary conditions

Zamani, M ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1016/j.euromechsol.2012.03.004
  3. Publisher: 2012
  4. Abstract:
  5. In this study, free vibration analysis of moderately thick symmetrically laminated general trapezoidal plates with various combinations of boundary conditions is investigated. The governing partial differential equations and boundary conditions for trapezoidal plate are obtained using first order shear deformation theory (FSDT) together with proper transformation from Cartesian system into trapezoidal coordinates. Generalized differential quadrature (GDQ) method is then employed to obtain solutions for the governing equations. Results of the GDQ method are compared and validated with available results in the literature which show accuracy and fast rate of convergence of the method. Effect of various parameters such as geometry, thickness, boundary condition and lay-up configuration on the natural frequency of trapezoidal and skew plates is investigated through several examples. It is also shown that the method can be used for analysis of triangular plates as special case of trapezoidal geometry with the same performance and convergence
  6. Keywords:
  7. Trapezoidal and skew plate ; Cartesian systems ; Fast rate ; First-order shear deformation theory ; Free-vibration analysis ; GDQ method ; Generalized differential quadrature ; Generalized differential quadrature methods ; Governing equations ; Moderately thick ; Skew plates ; Symmetrically laminated plates ; Trapezoidal geometry ; Trapezoidal plates ; Triangular plates ; Approximation theory ; Laminating ; Partial differential equations ; Plates (structural components) ; Vibration analysis ; Boundary conditions
  8. Source: European Journal of Mechanics, A/Solids ; Volume 36 , 2012 , Pages 204-212 ; 09977538 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0997753812000514