Numerical Simulation of Free Oscillations of Elastic Bodies with a Thin Coating |
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Authors: | Ya G Savula O S Kossak |
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Institution: | (1) Franko Lviv State University, Lviv |
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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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