Mixed Boundary-Value Problem of Forced Vibrations of a Three-Layered Plate in the Presence of Data about the Displacement of Contact Surface Points.

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Title: Mixed Boundary-Value Problem of Forced Vibrations of a Three-Layered Plate in the Presence of Data about the Displacement of Contact Surface Points.
Authors: Ghulghazaryan, L. G. ghulghazaryanlusine08@aspu.am, Hambardzumyan, P. R. hambardzumyanparandzem05@aspu.am
Source: Proceedings of the National Academy of Sciences of Armenia. Mechanics. 2025, Vol. 78 Issue 1, p37-45. 9p.
Subjects: Surface plates, Boundary value problems, Measuring instruments, Orthotropic plates, Elasticity
Abstract: The forced vibrations of three-layered orthotropic plate at full contact between the layers are considered, when mixed boundary conditions are set on the upper front surface of the plate, and the values of the displacement vector components are taken from the contact surface between the first and second layers, as data from measuring instruments. The amplitudes of vibrations are determined and the conditions for the occurrence of resonance are derived. The private solution of the corresponding dynamic equations and relations of the three-dimensional problem of elasticity theory is obtained by the asymptotic method. [ABSTRACT FROM AUTHOR]
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Abstract:The forced vibrations of three-layered orthotropic plate at full contact between the layers are considered, when mixed boundary conditions are set on the upper front surface of the plate, and the values of the displacement vector components are taken from the contact surface between the first and second layers, as data from measuring instruments. The amplitudes of vibrations are determined and the conditions for the occurrence of resonance are derived. The private solution of the corresponding dynamic equations and relations of the three-dimensional problem of elasticity theory is obtained by the asymptotic method. [ABSTRACT FROM AUTHOR]
ISSN:00023051
DOI:10.54503/0002-3051-2025.78.1-37