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Free vibration analysis of multilayered functionally graded composite cylinder

Kargarnovin, M. H ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2010-38597
  3. Abstract:
  4. Free vibration of multilayered composite cylinder which volume fraction of fiber varies according to power law in longitudinal direction has been studied. Rule of mixture model and reverse of that are employed to represent elastic properties of this fibrous functionally graded composite. Straindisplacement relations employed are based on Reissner- Naghdi-Berry's shell theory. The displacement finite element model of the governing equations of motion is derived by writing weak form of them. The Lagrangian shape functions for in-plane displacements and Hermitian shape functions for displacement in normal direction to the surface of mid-plane are utilized by defining a conformal quadrilateral element. The results show that by appropriate grading material properties of fiber in longitudinal direction the natural frequencies can be increased in comparison with traditional composite in which volume fraction of fiber does not vary
  5. Keywords:
  6. Free-vibration analysis ; Functionally graded composites ; Governing equations of motion ; In-plane displacement ; Longitudinal direction ; Multi-layered composites ; Quadrilateral elements ; Strain-displacement relation ; Equations of motion ; Mechanical engineering ; Vibration analysis ; Volume fraction ; Cylinders (shapes)
  7. Source: ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), 12 November 2010 through 18 November 2010 ; Volume 13 , 2010 , Pages 441-450 ; 9780791844502 (ISBN)
  8. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1617125