Free vibration of generally laminated plates with various shapes

Yousefi, P ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1002/pc.21063
  3. Abstract:
  4. This article is focused on a simple approach for determining the natural frequency and mode shape of laminated angle-ply plates with various shapes by rectangular orthotropy. Since the boundary of the domain for all shapes are not natural to the material coordinate axes it seems appropriate to express the plate displacement amplitude in terms of a polynomial and a general shape function multiplication in the x and y coordinates. The boundary conditions considered are clamped and simply supported edges. The effect of the fiber orientation, layer number, and lamination sequence on the natural frequencies of plates is also considered. The natural frequency determinant has been generated using the classical Rayleigh-Ritz method. The algorithm developed can be used for a wide range of different plate shape having an internal hole, internal ring support, and any aspect ratio by simple programming. The natural frequencies and mode shapes of four cases of plate shape are obtained and some results were compared with those existing in the literature and analytical solution for simply supported rectangular plates with especially orthotropy
  5. Keywords:
  6. Rayleigh-Ritz ; rectangular orthotropy ; Analytical solutions ; Angle-ply ; Displacement amplitudes ; Fiber orientations ; Free vibration ; Laminated plate ; Layer number ; Material coordinates ; Mode shapes ; Orthotropy ; Plate shape ; Rayleigh ; Rayleigh-Ritz methods ; Rectangular plates ; Ring support ; Shape functions ; Simple approach ; Simply supported ; Aspect ratio ; Function evaluation ; Laminating ; Natural frequencies
  7. Source: Polymer Composites ; Volume 32, Issue 3 , FEB , 2011 , Pages 445-454 ; 02728397 (ISSN)
  8. URL: http://onlinelibrary.wiley.com/doi/10.1002/pc.21063/abstract