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Mechanics of Composite Materials
Published in: Mechanics of Composite Materials 2/2020

26-05-2020

Numerical Modeling of Resonant Vibrations of an Elongate Plate with an Integral Damping Coating

Authors: V. N. Paimushin, V. A. Firsov, V. M. Shishkin

Published in: Mechanics of Composite Materials | Issue 2/2020

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Abstract

The classical methods of surface damping of bending vibrations of thin-walled structures and a promising integrated version with a damping coating consisting of two layers of a material with pronounced viscoelastic properties and an intermediate thin reinforcing layer of a high-modulus material are discussed. A four-layer finite element for an elongate plate with an integral damping coating is developed taking into account the lateral compression of the damping layers. A system of governing equations of the finite-element method is constructed for analyzing the dynamic response of the plate during its resonant vibrations. Iterative algorithms have been developed to take into account the amplitude dependence of the logarithmic decrements of vibrations of material of the damping layers when determining the damping properties of the plate and determining its vibration eigenmodes and eigenfrequencies with consideration of frequency dependence of the dynamic elastic moduli of the material. Numerical experiments were carried out to test the finite element developed and the iterative algorithms mentioned. The influence of aerodynamic resistance forces on the overall damping level of a cantilever plate with an integral damping coating is assessed.
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Literature
1.
G. S. Pisarenko, A. P. Yakovlev, and V. V. Matveev, “Vibroabsorption Properties of Structural Materials. A Handbook [in Russian], Kiev, Naukova Dumka (1971).
2.
V. S. Postnikov, Internal Friction in Metals [in Russian], M., Metallurgia (1969).
3.
V. M. Chernyshev, Damping the Vibrations of Mechanical Systems by Coverings of Polymer Materials [in Russian], M., Nauka (2004).
4.
E. Kerwin, “Damping of flexural waves by a constrained viscoelastic layer,” J. Acoustical Soc. Am., 3, No. 7, 952-962 (1959).CrossRef
5.
E. Ungar, “Loss coefficients of viscoelastically damped beam structures,” J. Acoustical Soc. Am. 34, No. 8, 1082-1089 (1962).CrossRef
6.
А. Nashif, D. Jouns, and J. Henderson, Damping of Vibrations [Russian translation], M., Mir (1988).
7.
ASTM E756-05: Standard test method for measuring vibration-damping properties of materials, ASTM Int., PA, (2010).
8.
D. K. Fisher and S. Asthana, “Self-adhesive vibration damping tape and composition.” Patent US 6828020 B2, 7.12.2004.
9.
L. A. Pankov, M. I. Fesina, and A. V. Krasnov, “Vibroshumodempfirujushchaja плосколистовая a lining.” Patent of the Russian Federation № 2333545, 10.09.2008.
10.
C. Tesse, and G. Stopin, “Constrained-layer damping material.” Patent EP2474971A1, 11.07.2012.
11.
R. B. Rikards and E. N. Barkanov, “Determination of the dynamic characteristics of vibration-absorbing coating by the finite element method,” Mech. Compos. Mater., 27, No. 5, 529-534 (1991).CrossRef
12.
E. N. Barkanov, “Method of complex eigenvalues for studying the damping properties of sandwich-type structures,” Mech. Compos. Mater., 29, No. 1, 90-94 (1993).CrossRef
13.
V. Oravsky, S. Markus, and O. Simkova, “A new approximate method of finding the loss-coefficients of a sandwich cantilever,” J. Sound Vibration, 33, No. 3, 335-352 (1974).CrossRef
14.
D. J. Mead and S. Markus, “The forced vibration of a three-layer, damped sandwich beam with arbitrary boundary states,” J. Sound Vibration, 10, No. 2, 165-175 (1969).CrossRef
15.
D. K. Rao, “Vibration of short sandwich beams,” J. Sound Vibration, 52, No. 2, 253-263 (1977).CrossRef
16.
M. Amabili, “Nonlinear damping in nonlinear vibrations of rectangular plates: Derivation from viscoelasticity and experimental validation,” J. Mech. and Physics of Solids, 118, 275-292 (2018).CrossRef
17.
V. N. Paimushin, V. A. Firsov, I. Gyunal, and V. M. Shishkin, “Considering the vibration dependence of the dynamic elastic modulus of Duralumin in deformation problems,” Prikl. Mekh. Tekhn. Fiz., 58, No. 3, 163-177 (2017).
18.
V. N. Paimushin, V. A. Firsov, I. Gyunal, and V. M. Shishkin, “Identification of the elastic characteristics of soft materials based on the analysis of damped flexural vibrations of test specimens,” Mech. Compos. Mater., 52, No. 4, 615-644 (2016).CrossRef
19.
V. N. Paimushin, V. A. Firsov, and V. M. Shishkin, “Identifying the dynamic characteristics of elasticity and damping properties of an OT-titanium alloy on the basis of research of damped flexural vibrations of tests specimens,” Probl. Mashinostr. Nadezhn. Mashin, No. 2, 27-39 (2019).
20.
V. N. Paimushin, V. A. Firsov, and V. M. Shishkin, “Modeling the response of a carbon-fiber-reinforced plate at resonant vibrations considering the internal friction in the material and the external aerodynamic damping,” Mech. Compos. Mater., 53, No. 4, 609-630 (2017).CrossRef
21.
Ya. G. Panovko, Internal Friction in Vibrations of Elastic Systems [in Russian], M., Fizmatgiz (1960).
22.
V. V. Khil’chevskii and V. G. Dubenec, Energy Dissipation in Vibrations of Thin-Walled Structural Elements [in Russian], Kiev, Vishcha Shkola (1977).
23.
O. Zenkevich, Finite-Elements Method in Engineering [Russian translation], M., Mir (1975).
24.
L. Segerlind, Employment of the Finite-Element Method [Russian translation], M., Mir (1979).
25.
К. Bath and E. Wilson, Numerical Methods of Analysis and the Finite-Element Method [Russian translation], M., Stroyizdat (1982).
26.
T. Shup, Solution of Engineering Problems on a Computer [Russian translation], M., Mir (1982).
27.
V. N. Paimushin, V. A. Firsov, I. Gunal, and V. M. Shishkin, “Theoretical-experimental method for evaluating the elastic and damping characteristics of soft materials based on studying the resonant flexural vibrations of test specimens,” Mech. Compos. Mater., 52, No. 5, 813-830 (2016).CrossRef
28.
B. Parlett, Symmetric Problem of Eigenvalues. Numerical Methods [Russian translation], M., Mir (1983).
29.
J. G. Methus and D. Fink Kurtis, Numerial Methods. Use MATLAB [Russian translation], M., Izd. Dom “Williams,” (2001).
30.
Yu. P. Boglaev, Computation Mathematics and Programming, M., Vysshaya Shkola, (1990).
31.
Р. Klaf and J. Penzien, Dynamics of Constructions [Russian translation], M., Stroiizdat. (1979).
32.
V. N. Paimushin, V. A. Firsov, I. Gyunal, and A. G. Egorov, “Theoretical-experimental method for determining the parameters of damping based on the study on damped flexural vibrations of test specimens. 1. Experimental basis,” Mech. Compos. Mater., 50, No. 2, 185-198 (2014).CrossRef
33.
A. G. Egorov, A. M. Kamalutdinov, V. N. Paimushin, and V. A. Firsov, “Theoretical-experimental method for determining the coefficient of aerodynamic resistance of a harmonically vibrating thin plate,” Prikl. Mekh. Tekhn. Fiz., 57, No. 2, 96-104 (2016).
Metadata
Title
Numerical Modeling of Resonant Vibrations of an Elongate Plate with an Integral Damping Coating
Authors
V. N. Paimushin
V. A. Firsov
V. M. Shishkin
Publication date
26-05-2020
Publisher
Springer US
Published in
Mechanics of Composite Materials / Issue 2/2020
Print ISSN: 0191-5665
Electronic ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-020-09869-3

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