Geodesic
Determination of damping properties of an elongated plate with an integral damping coating on the base of studying complex eigenfrequencies
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2020), pp. 48-64

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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. 
@article{IVM_2020_6_a6,
     author = {V. N. Paimushin and V. A. Firsov and V. M. Shishkin},
     title = {Determination of damping properties of an elongated plate with an integral damping coating on the base of studying complex eigenfrequencies},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {48--64},
     publisher = {mathdoc},
     number = {6},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_6_a6/}
}
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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. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2020), pp. 48-64. http://geodesic.mathdoc.fr/item/IVM_2020_6_a6/