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2021 | OriginalPaper | Chapter

Parametric Oscillations of Viscoelastic Orthotropic Rectangular Plates of Variable Thickness

Authors : Rustamkhan Abdikarimov, Bakhodir Normuminov, Dadakhan Khodzhaev, Davron Yulchiyev

Published in: Proceedings of International Scientific Conference on Telecommunications, Computing and Control

Publisher: Springer Singapore

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Abstract

A mathematical model of the problem of parametric vibrations of viscoelastic rectangular orthotropic plates of variable thickness under periodic load is given in the paper on the basis of the Kirchhoff–Love hypothesis in a geometrically nonlinear statement. The mathematical model of this problem is constructed taking into account the propagation of elastic waves. Using the Bubnov–Galerkin method, based on a polynomial approximation of deflection and displacements, the problem is reduced to solving systems of nonlinear integro-differential equations with variable coefficients. The effects of viscoelastic properties of the material and changes in thickness on the oscillation process are studied.

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Title: Parametric Oscillations of Viscoelastic Orthotropic Rectangular Plates of Variable Thickness
Authors: Rustamkhan Abdikarimov
Bakhodir Normuminov
Dadakhan Khodzhaev
Davron Yulchiyev
Publisher: Springer Singapore
Book: Proceedings of International Scientific Conference on Telecommunications, Computing and Control
Print ISBN: 978-981-336-631-2

Electronic ISBN: 978-981-336-632-9

Copyright Year: 2021
DOI: https://doi.org/10.1007/978-981-33-6632-9_9

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