Vibration of a surface-coated elastic block subject to bending

Gei, M. and Ogden, R.W. (2002) Vibration of a surface-coated elastic block subject to bending. Mathematics and Mechanics of Solids, 7(6), pp. 607-628. (doi:10.1177/108128602029657)

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In this paper we study the effect of a thin-film elastic surface coating on infinitesimal plane vibrations of a rectangular block of incompressible isotropic elastic material, which is subject to a static pure bending deformation. The equations governing the vibrations superimposed on the bending deformation are derived along with appropriate boundary conditions. The equations are then solved numerically in order to illustrate the dependence of the frequency of vibrations on the aspect ratio and the underlying deformation of the block and on the material parameters of the coating. Comparisons with results for an uncoated block are highlighted and the limiting case of zero frequency (corresponding to bifurcation of the static configuration) is discussed.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond
Authors: Gei, M., and Ogden, R.W.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Mathematics and Mechanics of Solids
ISSN (Online):1741-3028

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