0

Full Content is available to subscribers

Subscribe/Learn More  >

Vibration of Functionally Graded Plates

[+] Author Affiliations
Serge Abrate

Southern Illinois University, Carbondale, IL

Paper No. ESDA2006-95778, pp. 775-782; 8 pages
doi:10.1115/ESDA2006-95778
From:
  • ASME 8th Biennial Conference on Engineering Systems Design and Analysis
  • Volume 3: Dynamic Systems and Controls, Symposium on Design and Analysis of Advanced Structures, and Tribology
  • Torino, Italy, July 4–7, 2006
  • ISBN: 0-7918-4250-9 | eISBN: 0-7918-3779-3
  • Copyright © 2006 by ASME

abstract

This article considers the free vibration of plates for which materials properties vary continuously though the thickness. First, an examination of results available in the literature led to the discovery that the natural frequencies of such functionally graded plates are proportional to those of isotropic plates. In the usual formulation of existing plate theories, the midplane is taken as the reference surface and the variation in material properties through the thickness leads to coupling between inplane and bending deformations. The second part of this paper shows that it is possible to select a different reference plane so that this coupling is eliminated and the motion of the graded plate is governed by the same equation as that of homogeneous isotropic plates. This explains the relationship between the natural frequencies that was observed in the results presented by previous investigators. The study of functionally graded plate is made much simpler and results available for isotropic plates can be used directly.

Copyright © 2006 by ASME

Figures

Tables

Interactive Graphics

Video

Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

NOTE:
Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In