0

Full Content is available to subscribers

Subscribe/Learn More  >

Modal Interactions in a Thermally Loaded Annular Plate

[+] Author Affiliations
Haider N. Arafat, Ali H. Nayfeh

Virginia Polytechnic Institute and State University, Blacksburg, VA

Paper No. DETC2003/VIB-48603, pp. 2501-2510; 10 pages
doi:10.1115/DETC2003/VIB-48603
From:
  • ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C
  • Chicago, Illinois, USA, September 2–6, 2003
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-3703-3 | eISBN: 0-7918-3698-3
  • Copyright © 2003 by ASME

abstract

We investigate the nonlinear forced vibrations of a thermally loaded annular plate with clamped-clamped immovable boundary conditions in the presence of a three-to-one internal resonance between the first and second axisymmetric modes. We consider the in-plane thermal load to be axisymmetric and excite the plate externally by a harmonic force near primary resonance of the second mode. We then use the nonlinear von Kármán plate equations to model the behavior of the system and apply the method of multiple scales to investigate its responses. We found that the response can be periodic oscillations consisting of both modes, with a large component from the first mode. Moreover, the periodic solutions may undergo Hopf bifurcations which lead to aperiodic oscillations of the plate.

Copyright © 2003 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