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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 6, Pages 48–64
DOI: https://doi.org/10.26907/0021-3446-2020-6-48-64 (Mi ivm9582) 		 
Determination of damping properties of an elongated plate with an integral damping coating on the base of studying complex eigenfrequencies

V. N. Paimushinab, V. A. Firsova, V. M. Shishkinc

a Kazav National Research Technical University, 10 K. Marks str., Kazan, 420111 Russia
b Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
c Vyatka State University, 36 Moskovskaya str., Kirov, 610000 Russia
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DOI: https://doi.org/10.26907/0021-3446-2020-6-48-64
Abstract: The structure of a perspective integral damping coating consisting of two layers of a viscoelastic material with a thin reinforcing layer between them is presented. A four-layer finite element with fourteen degrees of freedom was developed for modeling a plate with a mentioned damping coating, which allows to take into account the effect of transversal compression of the damping layers during high-frequency oscillations of the plate. The generalized problem of complex eigenvalues based on the method of iterations in a subspace to determine several lower complex forms and frequencies of free vibrations of a damped plate was solved.
Keywords: plate, damping coating, damping constant, finite element, complex frequency.
Funding agency Grant number
Russian Science Foundation 19-19-00058
Received: 13.06.2019
Revised: 13.06.2019
Accepted: 19.06.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 6, Pages 40–55
DOI: https://doi.org/10.3103/S1066369X20060079
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. N. Paimushin, V. A. Firsov, V. M. Shishkin, “Determination of damping properties of an elongated plate with an integral damping coating on the base of studying complex eigenfrequencies”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 6, 48–64; Russian Math. (Iz. VUZ), 64:6 (2020), 40–55
Citation in format AMSBIB
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\paper Determination of damping properties of an elongated plate with an integral damping coating on the base of studying complex eigenfrequencies
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2020
\issue 6
\pages 48--64
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\jour Russian Math. (Iz. VUZ)
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\issue 6
\pages 40--55
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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