Rotatory vibration of sphere of higher order viscoelastic solid

Sengupta, P. R.; De (Das), Nibedita; Kar, Manidipa; Debnath, Lokenath

doi:https://doi.org/10.1155/S0161171294001110

International Journal of Mathematics and Mathematical Sciences

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Volume 17 | Article ID 363407 | https://doi.org/10.1155/S0161171294001110

Rotatory vibration of sphere of higher order viscoelastic solid

P. R. Sengupta,¹Nibedita De (Das),²Manidipa Kar,²and Lokenath Debnath³

Received08 Jan 1992

Revised08 Aug 1993

Abstract

An attempt is made to investigate the rotatory vibration of a sphere of higher order viscoelastic solid considering higher order strain rate and stress rate. The general frequency equation is obtained for this type of vibration of a sphere. As a special case of this analysis, the frequency equations for the first order and the second order viscoelastic solids are derived. It is shown that the classical frequency equation for an isotropic elastic solid follows from this analysis.

Copyright

Copyright © 1994 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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