0
BRIEF NOTES

Stability of a Rotating Heated Circular Plate With Elastic Edge Support

[+] Author and Article Information
R. B. Maretic, V. B. Glavardanov

Faculty of Technical Sciences, University of Novi Sad, 21121 Novi Sad, Serbia and Montenegro

J. Appl. Mech 71(6), 896-899 (Jan 27, 2005) (4 pages) doi:10.1115/1.1796448 History: Received November 26, 2002; Revised May 10, 2004; Online January 27, 2005

First Page Preview

View Large
First page PDF preview
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Wolkowisky,  J. H., 1967, “Existence of Buckled States of Circular Plates,” Commun. Pure Appl. Math., XX, pp. 546–560.
Machinek,  A. K., and Troger,  H., 1988, “Postbuckling of Elastic Annular Plates at Multiple Eigenvalues,” Dyn. Stab. Syst., 3, pp. 78–98.
Raju,  K. K., and Rao,  G. V., 1983, “Postbuckling Analysis of Moderately Thick Elastic Circular Plates,” ASME J. Appl. Mech., 50, pp. 468–470.
Pal,  M. C., 1969, “Large Deformations of Heated Circular Plates,” Acta Mech., 8, pp. 82–91.
Ghosh,  N. C., 1975, “Thermal Effect on the Transverse Vibration of Spining Disk of Variable Thickness,” ASME J. Appl. Mech., 42, pp. 358–362.
Renshaw,  A. A., 1998, “Critical Speed for Floppy Disks,” ASME J. Appl. Mech., 65, pp. 116–120.
Timoshenko, S., and Woinowsky-Krieger, S., 1959, Theory of Plates of Shells, 2nd ed. McGraw-Hill, New York.
Nowacki, W., 1962, Thermoelasticity, International Series of Monograph on Aeronautics and Astronautics, 3 , Addison-Wesley, Reading, MA.
Abramowitz, M., and Stegun, I., 1965, Handbook of Mathematical Functions, Dover, New York.
Golubitsky, M., and Schaeffer, D. G., 1985, Singularities and Groups in Bifurcation Theory, Vol. 1, Springer, New York.
Chow, S. N., and Hale, J. K., 1982, Methods of Bifurcation Theory, Springer, New York.
Troger, H., and Steindl, A., 1991, Nonlinear Stability and Bifurcation Theory: An Introduction for Engineers and Applied Scientisty, Springer, Wien.
Keyfitz,  B. L., 1986, “Classification of one-state variable bifurcation problems up to codimension seven,” Dyn. Stab. Syst., 1, pp. 1–41.
Maretic,  R., 1998, “Vibration and Stability of Rotating Plates with Elastic Edge Supports,” J. Sound Vib., 210, pp. 291–294.

Figures

Grahic Jump Location
A circular plate supported elastically around its edge
Grahic Jump Location
The critical speed parameter λcr with super- and subcritical bifurcation regions
Grahic Jump Location
Maximal transverse displacements

Tables

Errata

Discussions

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 Journal Articles
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