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Numerical Simulation of Free Oscillations of Elastic Bodies with a Thin Coating

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Abstract

We propose an approach to the investigation of problems on free oscillations of elastic bodies with a thin coating. The method consists of applying a combined mathematical model which is based on the three-dimensional equations of elasticity theory in the domain of a body and on the two-dimensional equations of the theory of shells of the Timoshenko type in the domain of a thin coating. The systems of these equations are related by the conditions of conjugation on the surface of contact. For the numerical analysis of the eigenvalue problem, we used a scheme of the finite-element method constructed by using approximations of different dimensionality.

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Authors and Affiliations

  1. Franko Lviv State University, Lviv

    Ya. G. Savula & O. S. Kossak

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  1. Ya. G. Savula
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  2. O. S. Kossak
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Savula, Y.G., Kossak, O.S. Numerical Simulation of Free Oscillations of Elastic Bodies with a Thin Coating. Journal of Mathematical Sciences 109, 1295–1302 (2002). https://doi.org/10.1023/A:1013765232115

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