Dissipative properties of composite structures. 1. Statement of problem

Object and purpose of research. The object under study is a sandwich plate with two rigid anisotropic layers and a filler of soft isotropic viscoelastic polymer. Each rigid layer is an anisotropic structure formed by a finite number of orthotropic viscoelastic composite plies of arbitrary orientatio...

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Autores principales:	Boris A. Yartsev, Viktor M. Ryabov, Lyudmila V. Parshina
Formato:	article
Lenguaje:	EN RU
Publicado:	Krylov State Research Centre 2021
Materias:	plate composite anisotropy viscoelastic polymer temperature-frequency relation coupled oscillations natural frequency Naval architecture. Shipbuilding. Marine engineering VM1-989
Acceso en línea:	https://doaj.org/article/085eccc61a084e7bae5b03f51d989716
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spelling	oai:doaj.org-article:085eccc61a084e7bae5b03f51d9897162021-11-22T07:35:06ZDissipative properties of composite structures. 1. Statement of problem10.24937/2542-2324-2021-4-398-24-342542-23242618-8244https://doaj.org/article/085eccc61a084e7bae5b03f51d9897162021-11-01T00:00:00Zhttps://transactions-ksrc.ru/eng/archive/dissipative-properties-of-composite-structures-1-statement-of-problem/https://doaj.org/toc/2542-2324https://doaj.org/toc/2618-8244Object and purpose of research. The object under study is a sandwich plate with two rigid anisotropic layers and a filler of soft isotropic viscoelastic polymer. Each rigid layer is an anisotropic structure formed by a finite number of orthotropic viscoelastic composite plies of arbitrary orientation. The purpose is to develop a mathematical model of sandwich plate. Subject matter and methods. The mathematical model of sandwich plate decaying oscillations is based on Ha- milton variational principle, Bolotin’s theory of multilayer structures, improved theory of the first order plates (Reissner-Mindlin theory), complex modulus model and principle of elastic-viscoelastic correspondence in the linear theory of viscoelasticity. In description of physical relations for rigid layers the effects of oscillation frequencies and ambient temperature are considered as negligible, while for the soft viscoelastic polymer layer the temperature-frequency relation of elastic-dissipative characteristics are taken into account based on experimentally obtained gene- ralized curves. Main results. Minimization of the Hamilton functional makes it possible to reduce the problem of decaying oscilla-tions of anisotropic sandwich plate to the algebraic problem of complex eigenvalues. As a specific case of the general problem, the equations of decaying longitudinal and transversal oscillations are obtained for the globally orthotropic sandwich rod by neglecting deformations of middle surfaces of rigid layers in one of the sandwich plate rigid layer axes directions. Conclusion. The paper will be followed by description of a numerical method used to solve the problem of decaying oscil-lations of anisotropic sandwich plate, estimations of its convergence and reliability are given, as well as the results of numerical experiments are presented.Boris A. YartsevViktor M. RyabovLyudmila V. ParshinaKrylov State Research Centrearticleplatecompositeanisotropyviscoelastic polymertemperature-frequency relationcoupled oscillationsnatural frequencyNaval architecture. Shipbuilding. Marine engineeringVM1-989ENRUТруды Крыловского государственного научного центра, Vol 4, Iss 398, Pp 24-34 (2021)
institution	DOAJ
collection	DOAJ
language	EN RU
topic	plate composite anisotropy viscoelastic polymer temperature-frequency relation coupled oscillations natural frequency Naval architecture. Shipbuilding. Marine engineering VM1-989
spellingShingle	plate composite anisotropy viscoelastic polymer temperature-frequency relation coupled oscillations natural frequency Naval architecture. Shipbuilding. Marine engineering VM1-989 Boris A. Yartsev Viktor M. Ryabov Lyudmila V. Parshina Dissipative properties of composite structures. 1. Statement of problem
description	Object and purpose of research. The object under study is a sandwich plate with two rigid anisotropic layers and a filler of soft isotropic viscoelastic polymer. Each rigid layer is an anisotropic structure formed by a finite number of orthotropic viscoelastic composite plies of arbitrary orientation. The purpose is to develop a mathematical model of sandwich plate. Subject matter and methods. The mathematical model of sandwich plate decaying oscillations is based on Ha- milton variational principle, Bolotin’s theory of multilayer structures, improved theory of the first order plates (Reissner-Mindlin theory), complex modulus model and principle of elastic-viscoelastic correspondence in the linear theory of viscoelasticity. In description of physical relations for rigid layers the effects of oscillation frequencies and ambient temperature are considered as negligible, while for the soft viscoelastic polymer layer the temperature-frequency relation of elastic-dissipative characteristics are taken into account based on experimentally obtained gene- ralized curves. Main results. Minimization of the Hamilton functional makes it possible to reduce the problem of decaying oscilla-tions of anisotropic sandwich plate to the algebraic problem of complex eigenvalues. As a specific case of the general problem, the equations of decaying longitudinal and transversal oscillations are obtained for the globally orthotropic sandwich rod by neglecting deformations of middle surfaces of rigid layers in one of the sandwich plate rigid layer axes directions. Conclusion. The paper will be followed by description of a numerical method used to solve the problem of decaying oscil-lations of anisotropic sandwich plate, estimations of its convergence and reliability are given, as well as the results of numerical experiments are presented.
format	article
author	Boris A. Yartsev Viktor M. Ryabov Lyudmila V. Parshina
author_facet	Boris A. Yartsev Viktor M. Ryabov Lyudmila V. Parshina
author_sort	Boris A. Yartsev
title	Dissipative properties of composite structures. 1. Statement of problem
title_short	Dissipative properties of composite structures. 1. Statement of problem
title_full	Dissipative properties of composite structures. 1. Statement of problem
title_fullStr	Dissipative properties of composite structures. 1. Statement of problem
title_full_unstemmed	Dissipative properties of composite structures. 1. Statement of problem
title_sort	dissipative properties of composite structures. 1. statement of problem
publisher	Krylov State Research Centre
publishDate	2021
url	https://doaj.org/article/085eccc61a084e7bae5b03f51d989716
work_keys_str_mv	AT borisayartsev dissipativepropertiesofcompositestructures1statementofproblem AT viktormryabov dissipativepropertiesofcompositestructures1statementofproblem AT lyudmilavparshina dissipativepropertiesofcompositestructures1statementofproblem
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Dissipative properties of composite structures. 1. Statement of problem

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