Hostname: page-component-848d4c4894-tn8tq Total loading time: 0 Render date: 2024-06-23T13:28:55.410Z Has data issue: false hasContentIssue false
  • English
  • Français

Axisymmetric vibrations of ring stiffened shallow spherical shells

Published online by Cambridge University Press:  04 July 2016

R. K. Jain  and
C. L. Kirk
Get access Rights & Permissions [Opens in a new window]

Extract

The natural frequencies of a plate or a shell can be changed by altering its stiffness. This can be achieved by appropriately varying the mass or curvature, by introducing initial stresses or by attaching stiffeners to the system. The last method has obvious advantages over the other methods. The natural frequencies are thus raised, lowered or remain unchanged depending on (i) the dimensions of the stiffener relative to the plate or shell dimensions, and (ii) its position.

Type
Technical notes
Information
The Aeronautical Journal , Volume 78 , Issue 757 , January 1974 , pp. 32 - 36
Copyright
Copyright © Royal Aeronautical Society 1974 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

*

Department of Mathematics, University of Roorkee, Roorkee, India.

†

Structural and Aerospace Dynamics Group, Cranfield Institute of Technology, Cranfield

References

1. Reissner, E. On transverse vibrations of thin shallow elastic shells. Quarterly of Applied Mathematics, Vol 13, pp 169–176, 1955.10.1090/qam/69715Google Scholar
2. Johnson, M. W. and Reissner, E. On transverse vibrations of shallow spherical shells. Quarterly of Applied Mathematics, Vol 15, pp 367–380, 1958.10.1090/qam/92427Google Scholar
3. Kalnins, A. and Naghdi, P. M. Axisymmetric vibrations of shallow elastic spherical shells. Journal of the Acoustical Society of America, Vol 32, pp 342–347, 1960.10.1121/1.1908055Google Scholar
4. Kalnins, A. Free nonsymmetric vibrations of shallow spherical shells. Proceedings of the IVth US National Congress of Applied Mechanics, pp 225–233, 1962.Google Scholar
5. Fleyshman, N. P. and Shabliy, O. M. Effect of concentrical ribs on the frequency of free oscillations of round and ring shaped plates. Prikladnaya Mekhanika AN URSR (Ukranian), Vol 7, pp 326-, 1961.Google Scholar
6. Kirk, C. L. and Leissa, A. W. Vibration characteristics of a circular plate with a concentric reinforcing ring. Journal of Sound and Vibration, Vol 5, pp 278–284, 1967.10.1016/0022-460X(67)90108-3Google Scholar
7. Kalnins, A. On vibrations of shallow spherical shells. Journal of the Acoustical Society of America, Vol 33, pp 1102–1107, 1961.10.1121/1.1908908Google Scholar