Acta Mechanica

, Volume 229, Issue 10, pp 4303–4311 | Cite as

A rotating cylinder in a bored dissimilar elastic solid

  • Kazumi WatanabeEmail author


A simple and exact closed form solution for a rotating cylinder is presented. The cylinder is inserted in a bored dissimilar elastic solid. The exact form of the absolute acceleration and the Coulomb’s rule for the friction on the circular interface are employed. After discussing the resonant frequency/velocity, numerical computations are carried out for all stress components in the cylinder. It is found that the hoop stress on the cylinder edge changes its nature from extensive to compressive as the rigidity of the surrounding solid increases. The torque and power to keep the cylinder rotation are also discussed, briefly.


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  1. 1.
    Timoshenko, S.P., Goodier, J.N.: Theory of Elasticity, 3rd edn. McGraw-Hill, Tokyo (1970)zbMATHGoogle Scholar
  2. 2.
    Zafarmand, H., Hassani, B.: Analysis of two-dimensional functionally graded rotating thick disks with variable thickness. Acta Mech. 225, 453–464 (2014)CrossRefGoogle Scholar
  3. 3.
    Yeh, K.-Y., Han, R.P.S.: Analysis of high-speed rotating disks with variable thickness and inhomogeneity. Trans. ASME J. Appl. Mech. 61(1), 186–191 (1994)CrossRefGoogle Scholar
  4. 4.
    Chen, W.Q., Lee, K.-Y.: Stresses in rotating cross-ply laminated hollow cylinder with arbitrary thickness. J. Strain Anal. 39(5), 437–445 (2004)CrossRefGoogle Scholar
  5. 5.
    Babaei, M.H., Chen, Z.T.: Exact solutions for radially polarized and magnetized magnetoelectroelastic rotating cylinder. Smart Mater. Struct. 17, 1–11 (2008)CrossRefGoogle Scholar
  6. 6.
    Watanabe, K., Murakami, H.: Waves in a rotating solid. Acta Mech. 224, 3021–3036 (2013)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2018

Authors and Affiliations

  1. 1.HikoshimaJapan

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