0
BRIEF NOTES

Nonlinear Free Flexural Vibration of Oval Rings

[+] Author and Article Information
M. Ganapathi, B. P. Patel, D. P. Makhecha

Institute of Armament Technology, Deemed University, Girinagar, Pune 411 025, Maharastra, India

J. Appl. Mech 70(5), 774-777 (Oct 10, 2003) (4 pages) doi:10.1115/1.1604834 History: Received March 12, 2001; Revised April 25, 2003; Online October 10, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.

References

Sathyamoorthy, M., 1998, Nonlinear Analysis of Structures, Boca Raton, FL.
Evensen, D. A., 1965, “A Theoretical and Experimental Study of the Nonlinear Flexural Vibrations of Thin Circular Rings,” Paper No. NASA TR R-227.
Dowell,  E. H., 1967, “On the Nonlinear Flexural Vibrations of Rings,” AIAA J., 5, pp. 1508–1509.
Sathyamoorthy,  M., and Pandalai,  K. A. V., 1971, “Nonlinear Flexural Vibrations of Oval Rings,” J. Aeronaut. Soc. India,23, pp. 1–12.
Prathap,  G., and Pandalai,  K. A. V., 1978, “The Role of Median Surface Curvature in Large Amplitude Flexural Vibrations of Thin Shells,” J. Sound Vib., 60, pp. 119–131.
Chen,  J. C., and Babcock,  C. D., 1975, “Nonlinear Vibration of Cylindrical Shells,” AIAA J., 13, pp. 868–876.
Patel,  B. P., Ganapathi,  M., and Saravanan,  J., 1999, “Shear Flexible Field-Consistent Curved Spline Beam Element for Vibration Analysis,” Int. J. Numer. Methods Eng., 46, pp. 387–407.
Rajasekaran,  S., and Murray,  D. W., 1973, “Incremental Finite Element Matrices,” J. Struct. Div. ASCE, 99, pp. 2423–2438.
Blevins, R. D., 1979, Formulas for Natural Frequency and Mode Shape, Van Nostrand Reinhold, New York.

Figures

Grahic Jump Location
Nonlinear amplitude frequency relationship for isotropic rings with ro/h=100
Grahic Jump Location
Modal participation factors for circular ring [ζ=0, ro/h=100,nexcited*=4]
Grahic Jump Location
Modal participation factors for oval ring [ζ=0.5, ro/h=100]. (A) nexcited*=5 (SA Mode); (B) nexcited*=6 (SS Mode); (C) nexcited*=6 (AA Mode).

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