 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5249 |
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| A.O. Kamenskikh, "Alteration of Natural Vibration Frequencies by Piezoelectric Elements Embedded in Elastic Bodies," Mech. Solids. 60 (6), 4522-4531 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
4522-4531 |
| DOI |
10.1134/S0025654425605191 |
| Title |
Alteration of Natural Vibration Frequencies by Piezoelectric Elements Embedded in Elastic Bodies |
| Author(s) |
A.O. Kamenskikh (Institute of Continuous Media Mechanics Ural Branch Russian Àcademy of Sciences, Perm, 614013 Russia, kamenskikh.a@icmm.ru) |
| Abstract |
This paper addresses the problem of altering the natural vibration frequencies of an elastic
body with embedded piezoelectric elements by applying an electric potential to them. Presented mathematical formulation of the problem based on the principle of virtual displacements for a piecewisehomogeneous electroelastic body. Finite deformations are represented as the sum of linear and nonlinear parts, which are linearized with respect to a state featuring a small deviation from the initial
equilibrium position caused by the reverse piezoelectric effect. Provided experimental and numerical
results validate the reliability of the numerical algorithm based on the finite element method. Using a
plate with an embedded piezoelectric element as an example, presented numerical results demonstrate
the influence of various parameters on the change in natural vibration frequencies: the stiffness characteristics of the elastic body; the dimensions, location, and number of piezoelectric actuators; the
area ratio of the piezoelectric element to the elastic body; and the magnitude and sign of the electric potential. |
| Keywords |
elastic bodies, piezoelectric elements, reverse piezoelectric effect, prestress, natural vibration frequencies, finite element method |
| Received |
21 September 2025 | Revised |
23 September 2025 | Accepted |
23 September 2025 |
| Link to Fulltext |
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