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Nonlinear dynamical problem of a cyclinder with a slowly changing internal boundary

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Abstract

The problem of a hollow viscoelastic cylinder enclosed in an elastic shell is examined. The inside diameter varies. A nonlinear cubic theory is used to describe the relation between the stresses and strains in time. A vibration analysis is carried out for variable internal pressure.

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Literature cited

  1. A. A. Il'yushin and B. E. Pobedrya, Fundamentals of the Mathematical Theory of Thermoviscoelasticity [in Russian], Moscow (1970).

  2. M. A. Koltunov, Mekhan. Polim., No. 4, 483 (1966).

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  5. A. N. Filatov, Averaging in Differential and Integrodifferential Equations [in Russian], Tashkent (1971).

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Authors
  1. U. Tokhtarov
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  2. M. A. Koltunov
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  3. V. I. Morgunov
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  4. I. E. Troyanovskii
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Additional information

Moscow Institute of Electronic Machine Building. Translated from Mekhanika Polimerov, No. 2, pp. 274–280, March–April, 1973.

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Tokhtarov, U., Koltunov, M.A., Morgunov, V.I. et al. Nonlinear dynamical problem of a cyclinder with a slowly changing internal boundary. Polymer Mechanics 9, 237–242 (1973). https://doi.org/10.1007/BF00855042

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  • DOI: https://doi.org/10.1007/BF00855042

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