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.
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References
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
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
Al-Najafi, A. M. J.; Warburton, G. B.: Free vibration of ring-stiffened cylindrical shells. J. Sound Vibr. 13 (1970) 9–25
Wah, T.; Hu, W. C. L.: Vibration analysis of stiffened cylinders including inter-ring motion. J. Acoust. Soc. Amer. 43 (1968) 1005–1016
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
Pestel, E. C.; Leckie, F. A.: Matrix methods in elastomechanics. pp. 192–213, New York 1963
Lin, Y. K.; McDaniel, T. J.: Dynamics of beam-type periodic structures. J. Eng. Ind. 91 (1969) 1133–1141
Henderson, J. P.; McDaniel, T. J.: The analysis of curved multi-span structures. J. Sound Vibr. 18 (1971) 203–219
Kraus, H.: Thin elastic shells. New York 1967
Love, A. E. H.: A treaties on the mathematical theory of elasticity. 4th. Ed. New York 1944
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)
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
McBride, E. J.: The free lateral vibrations of a cantilever beam with a terminal dashpot. J. Appl. Mech. 10 (1943) A-168–A-172
Herman, H.; Pappas, M.: Vibrations of a dissipative composite lumped-distributed systems. J. Acoust. Soc Amer. 47 (1970) 211–219
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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
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DOI: https://doi.org/10.1007/BF00534321