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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 3, Pages 75–82 (Mi ivm8984)  
This article is cited in 21 scientific papers (total in 21 papers)

Brief communications

On the interaction of composite plate having a vibration-absorbing covering with the acoustic wave

I. B. Badrieva, M. V. Makarovb, V. N. Paimushincd

a Chair of Computational Mathematics, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
b Kazan National Research Technical University, 10 K. Marks str., Kazan, 420111 Russia
c Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
d Chair of Strength of Materials, Kazan National Research Technical University, 10 K. Marks str., Kazan, 420111 Russia
Full-text PDF (171 kB) Citations (21)
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Abstract: We formulate the coupled problem of planar acoustic wave propagation through the composite plate which contains in its second layer a damping material possessing large logarithmic decrement. Aero-hydrodynamical interaction between plate and external acoustic environment is defined by three-dimensional wave equations, whilst mechanical behavior of double-layered plate is examined with a model based on classical Kirchhoff–Love's hypothesis. Exact analytical solutions were given for plates with simply supported edges. Based on given solutions we find parameters for second layer which lead to substantially damping of plate vibrations in the case of acoustic loading at resonant modes.
Keywords: double-layered plate, acoustoelasticity, internal damping, logarithmic decrement, wave equation, acoustic wave, analytical solution, resonance, vibration damping.
Received: 29.09.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 3, Pages 66–71
DOI: https://doi.org/10.3103/S1066369X1503007X
Bibliographic databases:
Document Type: Article
UDC: 539.3+629.7
Language: Russian
Citation: I. B. Badriev, M. V. Makarov, V. N. Paimushin, “On the interaction of composite plate having a vibration-absorbing covering with the acoustic wave”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 3, 75–82; Russian Math. (Iz. VUZ), 59:3 (2015), 66–71
Citation in format AMSBIB
\Bibitem{BadMakPai15}
\by I.~B.~Badriev, M.~V.~Makarov, V.~N.~Paimushin
\paper On the interaction of composite plate having a~vibration-absorbing covering with the acoustic wave
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 3
\pages 75--82
\mathnet{http://mi.mathnet.ru/ivm8984}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 3
\pages 66--71
\crossref{https://doi.org/10.3103/S1066369X1503007X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928910929}
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  • https://www.mathnet.ru/eng/ivm/y2015/i3/p75
    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:48
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