×

On the interaction of composite plate having a vibration-absorbing covering with incident acoustic wave. (English. Russian original) Zbl 1329.74133

Russ. Math. 59, No. 3, 66-71 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 3, 75-82 (2015).
Summary: 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.

MSC:

74J15 Surface waves in solid mechanics
74K20 Plates
74E30 Composite and mixture properties
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Taschenbuch der technischen Akustik, Ed. by von Müller, G., Möser, M. (Springer-Verlag, Berlin-Heidelberg-New York, 1975; Sudostroenie, Leningrad, 1980).
[2] Panovko, Ya. G. Internal Friction in the Elastic System Oscillations (Fizmatgiz, Moscow, 1960) [in Russian]. · Zbl 0105.38102
[3] Khil’chevskii, V. V., Dubenets, V. G. Energy Scattering under Thinwalled Construction Elements Oscillations (Vishcha Shkola, Kiev, 1977) [in Russian].
[4] Paimushin, V N, On acoustic wave emitting problems in dynamic process of plate deformations under external and internal damping, Mat. Metody i Fiz.-Mekh. Polya, 56, 72-85, (2013) · Zbl 1313.76100
[5] Paimushin, V N, On the dynamic loss of stability of a compressed plate sandwiched by two acoustic media, Dokl. Akad. Nauk, 455, 287-291, (2014)
[6] Paimushin, V N; Firsov, V A; Gyunal, I; Egorov, A G, Theoretical-experimental method for determining the parameters of damping based on the study of damped flexural vibrations of test specimens. 1. experimental basis, Mechanics of Composite Materials, 50, 127-136, (2014)
[7] Egorov, A G; Kamalutdinov, A M; Nuriev, A N; Paimushin, V N, Theoretical-experimental method for determining the parameters of damping based on the study of damped flexural vibrations of test specimens 2. aerodynamic component of damping, Mechanics of Composite Materials, 50, 267-278, (2014)
[8] Paimushin, V N; Firsov, V A; Gyunal, I; Egorov, A G; Kayumov, R A, Theoretical-experimental method for determining the parameters of damping based on the study of damped flexural vibrations of test specimens. 3. identification of the characteristics of internal damping, Mechanics of Composite Materials, 50, 633-646, (2014)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.