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Vibration Analysis of a Rotating FGM Cantilever Arm

[+] Author Affiliations
M. Rahaeifard, S. A. Moeini, M. H. Kahrobaiyan, M. T. Ahmadian

Sharif University of Technology, Tehran, Iran

Paper No. IMECE2009-11062, pp. 359-365; 7 pages
doi:10.1115/IMECE2009-11062
From:
  • ASME 2009 International Mechanical Engineering Congress and Exposition
  • Volume 15: Sound, Vibration and Design
  • Lake Buena Vista, Florida, USA, November 13–19, 2009
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4388-8 | eISBN: 978-0-7918-3863-1
  • Copyright © 2009 by ASME

abstract

Functionally graded materials (FGMs) are inhomogeneous composites which are usually made of a mixture of metals and ceramics. Properties of these kinds of materials vary continuously and smoothly from a ceramic surface to a metallic surface in a specified direction of the structure. The gradient compositional variation of the constituents from one surface to the other provides an elegant solution to the problem of high transverse shear stresses that are induced when two dissimilar materials with large differences in material properties are bonded. FGMs have attracted much attention as advanced structural materials in recent years. In this paper, free vibration of a rotating FGM cantilever arm is studied. The arm is modeled by an Euler-Bernoulli beam theory in which rotary inertia and shear deformation are neglected. The cross section area of the beam is rectangular with properties varying through the thickness following a simple power law exponent (n). This variation is a function of the volume fraction of the beam material constituents. The beam is composed of a mixture of aluminum and alumina. The deformation of the beam is considered to be in the plane of rotation. The equations of motion are derived using Hamilton’s principle and assumed mode method. Ten lowest polynomial functions are considered as mode shapes of the rotating beam. Natural frequencies of the arm are obtained and compared with the literature and verification is presented. Finally effects of various parameters on the natural frequencies and mode shapes are investigated.

Copyright © 2009 by ASME

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