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Статья
2020

Determination of Damping Properties of an Elongated Plate with an Integral Damping Coating on the Base of Studying Complex Eigenfrequencies


V. N. PaimushinV. N. Paimushin, V. A. FirsovV. A. Firsov, V. M. ShishkinV. M. Shishkin
Русская математика
https://doi.org/10.3103/S1066369X20060079
Abstract / Full Text

We describe the structure of a perspective integral damping coating consisting (with respect to the thickness) of two layers of a viscoelastic material with a thin reinforcing layer in-between. We propose a four-layer finite element model with fourteen degrees of freedom for a plate with a mentioned damping coating. This model allows us to take into account the effect of transversal compression of damping layers under high-frequency vibrations of the plate. For determining some lower complex modes and frequencies of free vibrations of the damped plate, we solve a generalized complex eigenvalue problem using the method of iterations in a subspace.

Author information
  • Kazan National Research Technical University, 10 K. Marks str., Kazan, 420111, RussiaV. N. Paimushin & V. A. Firsov
  • Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008, RussiaV. N. Paimushin
  • Vyatka State University, 36 Moskovskaya str., Kirov, 610000, RussiaV. M. Shishkin
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