Skip to main content
Log in

Vibration damping characteristics of a thin cylindrical shell stiffened with viscoelastic rings

  • Published:
Ingenieur-Archiv Aims and scope Submit manuscript

Summary

The vibrations of a circular cylindrical shell reinforced with viscoelastic rings are theoretically treated. The frequency equation is derived using the transfer matrix together with the stiffness matrix. The numerical example surveys the damping effect of viscoelastic rings upon the dynamic behavior of the system.

Übersicht

Die Schwingungen einer durch viskoelastische Kreisringe versteiften dünnwandigen Kreiszylinderschale werden theoretisch behandelt. Die Frequenzgleichung wird durch eine Kombination der Übertragungsmatrix mit der Steifigkeitsmatrix abgeleitet. An numerischen Beispielen wird ein Überblick über die dämpfende Wirkung der viskoelastischen Kreisringe auf das dynamische Verhalten des Systems gewonnen.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Galletly, G. D.: On the in-vacuo vibration of simply supported ring-stiffened cylindrical shells. Proc. 2. US. natl. Congr. Appl. Mech., ASME 1955, PP. 225–231

  2. Egle, D. M.; Soder, K. E. Jr.: A theoretical analysis of the free vibration of discretely stiffened cylindrical shells with arbitrary end conditions. NASA CR-1316 (1969) 262–274

  3. Al-Najafi, A. M. J.; Warburton, G. B.: Free vibration of ring-stiffened cylindrical shells. J. Sound Vibr. 13 (1970) 9–25

    Google Scholar 

  4. Wah, T.; Hu, W. C. L.: Vibration analysis of stiffened cylinders including inter-ring motion. J. Acoust. Soc. Amer. 43 (1968) 1005–1016

    Google Scholar 

  5. Forsberg, K.: Exact solution for natural frequencies of ring-stiffened cylinders. AIAA/ASME 10. Structures, Structural Dynamics and Materials Conference, Vol. on Structures and Materials (1969) pp. 18–30

  6. Pestel, E. C.; Leckie, F. A.: Matrix methods in elastomechanics. pp. 192–213, New York 1963

  7. Lin, Y. K.; McDaniel, T. J.: Dynamics of beam-type periodic structures. J. Eng. Ind. 91 (1969) 1133–1141

    Google Scholar 

  8. Henderson, J. P.; McDaniel, T. J.: The analysis of curved multi-span structures. J. Sound Vibr. 18 (1971) 203–219

    Google Scholar 

  9. Kraus, H.: Thin elastic shells. New York 1967

  10. Love, A. E. H.: A treaties on the mathematical theory of elasticity. 4th. Ed. New York 1944

  11. Newmark, S.: Concept of complex stiffness applied to problems of oscillations with viscous and hysteretic damping. Aero Res. Council, R and M No. 3269 (1957)

  12. Tottenham, H.; Shimizu, K.: Analysis of the free vibration of cantilever cylindrical thin elastic shells by the matrix progression method. Int. J. mech. Sci. 14 (1972) 293–310

    Google Scholar 

  13. McBride, E. J.: The free lateral vibrations of a cantilever beam with a terminal dashpot. J. Appl. Mech. 10 (1943) A-168–A-172

    Google Scholar 

  14. Herman, H.; Pappas, M.: Vibrations of a dissipative composite lumped-distributed systems. J. Acoust. Soc Amer. 47 (1970) 211–219

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Saito, H., Yamaguchi, H. Vibration damping characteristics of a thin cylindrical shell stiffened with viscoelastic rings. Ing. arch 48, 301–311 (1979). https://doi.org/10.1007/BF00534321

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00534321

Keywords

Navigation