Materials Science

, Volume 55, Issue 1, pp 94–104 | Cite as

Transverse Vibrations of an Orthotropic Plate with a Collection of Inclusions of Any Configuration with Different Types of Connections with the Matrix

  • T. V. ShopaEmail author

Within the framework of an improved theory that takes into account transverse shear strains and inertial components, we construct the solution of the problem of stationary flexural vibration of an orthotropic plate containing a collection of arbitrarily located curvilinear inclusions. We analyze various types of connections of these inclusions with the plate. The outer boundary of the plate has an arbitrary geometric configuration. In this boundary, we impose mixed boundary conditions harmonic in time. The solution is constructed by using the indirect method of boundary element. We used the sequential approach to the representation of Green functions.


vibration orthotropic plate holes indirect method of boundary elements 


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Pidstryhach Institute for Applied Problems in Mechanics and MathematicsUkrainian National Academy of SciencesLvivUkraine

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