Polymer Mechanics

, Volume 6, Issue 4, pp 636–641 | Cite as

Deformations of a thick-valued, slowly rotating cylinder under gravitational load

  • V. A. Bunakov


An analytic method of calculating the deformations of an infinitely long thick-walled cylinder under a periodically varying gravitational load is described. The cylinder material is linearly viscoelastic. The solution employs the elasto-viscoelastic analogy. The corresponding elastic problem is solved by Muskhelishvili's method. The nonhomogeneity of the equilibrium equations is eliminated by applying the theorem of body forces with a potential function. As an example the maximum displacements of the inner channel are calculated for a cylinder of incompressible material in the cases of slow continuous rotation and periodic rotation through 180°.


Potential Function Equilibrium Equation Body Force Maximum Displacement Periodic Rotation 
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Literature cited

  1. 1.
    M. A. Biot, J. Appl. Mech.,A41, 37 (1935).Google Scholar
  2. 2.
    N. I. Muskhelishvili, Some Fundamental Problems of the Mathematical Theory of Elasticity [in Russian], Nauka (1966).Google Scholar
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    M. A. Koltunov and A. S. Nikolaevskii, Mekhan. Polim., No. 5, 678 (1966).Google Scholar
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    G. Lianis, ARS J.,32, No. 5 (1962).Google Scholar

Copyright information

© Consultants Bureau 1973

Authors and Affiliations

  • V. A. Bunakov

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