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Mechanics of Composite Materials
Published in: Mechanics of Composite Materials 1/2019

30-03-2019

Asymptotic Solution of the First 3D Dynamic Elasticity Theory Problem on Forced Vibrations of a Three-Layer Plate with an Asymmetric Structure

Authors: M. L. Aghalovyan, T. V. Zakaryan

Published in: Mechanics of Composite Materials | Issue 1/2019

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Abstract

The first 3D dynamic problem on forced vibrations of an orthotropic three-layer plate with an asymmetric structure is solved asymptotically. On faces of the package, conditions of the first boundary-value problem of elasticity theory, i.e., the values of corresponding components of the stress tensor, are set. It is assumed that they vary harmonically in time. An asymptotic solution of the internal (external) problem is found. Conditions for the origination of resonance are established. The cases where the solution of the internal problem becomes mathematically exact are indicated, and an illustrative example is given. The question about the conjugation of solutions of the inner and boundary-layer problems is discussed.
next article Discontinuous Solutions of Axisymmetric Elasticity Theory for a Piecewise Homogeneous Layered Space with Periodical Interfacial Disk-Shape Defects

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Metadata
Title
Asymptotic Solution of the First 3D Dynamic Elasticity Theory Problem on Forced Vibrations of a Three-Layer Plate with an Asymmetric Structure
Authors
M. L. Aghalovyan
T. V. Zakaryan
Publication date
30-03-2019
Publisher
Springer US
Published in
Mechanics of Composite Materials / Issue 1/2019
Print ISSN: 0191-5665
Electronic ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-019-09787-z

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