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JOURNALS // Proceedings of National Academy of Sciences of Armenia, Mechanics // Archive

Proceedings of National Academy of Sciences of Armenia, Mechanics, 2018, Volume 71, Issue 4, Pages 17–29 (Mi pasam68)

On solutions of dynamic three-dimensional problems of the elasticity theory for earthquake modeling

L. A. Agalovyan, M. L. Aghalovian, В. Тагворян

Institute of Mechanics, National Academy of Sciences of Armenia

Abstract: A three-dimensional dynamic problem of the theory of elasticity for a layered packet, which consists of N orthotropic plates is observed. It is considered that the measuring devices (tiltmeters, deformographs, etc.) are placed on the contact surface between the first and second layers of the package. By the asymptotic method of solution of the singular perturbed differential equations, is obtained the internal solution of the three-dimensional problem. The cases, when the solution becomes mathematically exact are shown. An illustrative example for a three-layer packet is given.

Keywords: The non-classical dynamic problem, asymptotic method, the internal problem, layered packet, orthotropic plate.



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