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Free Vibration Analysis of Multilayered Functionally Graded Composite Cylinder

[+] Author Affiliations
M. H. Kargarnovin, M. Hashemi

Sharif University of Technology, Tehran, Iran

Paper No. IMECE2010-38597, pp. 441-450; 10 pages
doi:10.1115/IMECE2010-38597
From:
  • ASME 2010 International Mechanical Engineering Congress and Exposition
  • Volume 13: Sound, Vibration and Design
  • Vancouver, British Columbia, Canada, November 12–18, 2010
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4450-2
  • Copyright © 2010 by ASME

abstract

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. Strain-displacement 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.

Copyright © 2010 by ASME

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