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Boundary-value problems of longitudinal vibrations of circular cylindrical shells

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Abstract

This paper presents a rigorous formulation of boundary-value problems of longitudinal-radial vibration: approximate equations of vibration, boundary conditions on ends with different types of support, and initial conditions. Formulas are presented to calculate the stress-strain state of a shell through the unknown functions. Results are obtained on the basis of a rigorous mathematical approach in which the shell is examined as a three-dimensional body.

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References

  1. E. I. Grigolyuk and I. T. Selezov,Nonclassical Theories of Vibration of Rods, Plates, and Shells (Itogi Nauki i Tekhniki, VINirn. Ser. Mekhanika Tverdykh Defonniniemykh Tel, Vol. 5) (1973).

  2. I. G. Filippov and O. A. Egorychev,Wave Processes in Linear Viscoelastic Media [in Russian], Mashinostroenie, Moscow (1982).

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  3. I. G. Filippov and V. G. Cheban,Mathematical Theory of the Vibration of Elastic and Viscoelastic Plates and Rods [in Russian], ShTIINTsA, Kishinev (1988).

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  4. I. G. Filippov and K. Kudainazarov, “Refinement of the equations of the longitudinal-radial vibration of a circular cylindrical viscoelastic shell,”Prikl. Mekh.,26, No. 2, 63–73 (1990).

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Authors and Affiliations

  1. Moscow Construction University, Russia

    I. G. Filippov & K. Kudainazarov

Authors
  1. I. G. Filippov
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  2. K. Kudainazarov
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Additional information

Translated from Prikladnaya Mekhanika, Vol. 34, No. 12, pp. 34–40, December, 1998.

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Filippov, I.G., Kudainazarov, K. Boundary-value problems of longitudinal vibrations of circular cylindrical shells. Int Appl Mech 34, 1204–1210 (1998). https://doi.org/10.1007/BF02700874

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  • DOI: https://doi.org/10.1007/BF02700874

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