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.
Similar content being viewed by others
Literature cited
A. A. Il'yushin and B. E. Pobedrya, Fundamentals of the Mathematical Theory of Thermoviscoelasticity [in Russian], Moscow (1970).
M. A. Koltunov, Mekhan. Polim., No. 4, 483 (1966).
Yu. A. Mitropol'skii, Problems of the Asymptotic Theory of Nonsteady Vibrations [in Russian], Moscow (1964).
V. M. Volosov and B. I. Morgunov, Vestn. MGU. Fiz.-Astron., No. 4, 110 (1969).
A. N. Filatov, Averaging in Differential and Integrodifferential Equations [in Russian], Tashkent (1971).
A. R. Rzhanitsyn, Some Problems of the Mechanics of Systems That Deform With Time [in Russian], Moscow-Leningrad (1949).
V. M. Volosov and B. I. Morgunov, ZhVMMF,8, 251 (1968).
G. Korn and T. Korn, Mathematical Handbook for Scientists and Engineers McGraw-Hill (1967).
Additional information
Moscow Institute of Electronic Machine Building. Translated from Mekhanika Polimerov, No. 2, pp. 274–280, March–April, 1973.
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00855042