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Optimization of the Dissipative Properties of Electroelastic Bodies with Electric Circuits Through the Analysis of Natural Vibrations

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Dynamics and Control of Advanced Structures and Machines

Abstract

This paper presents a formulation and equations for the problem of natural vibrations of electroelastic bodies with external electric circuits that contain resistive, capacitive, and inductive elements. As one of its applications, the results of the solution of this problem are suggested for determining external electric circuit parameters that ensure optimal damping of one or several vibration modes. In order to illustrate the proposed approach, there are presented results of definition of optimal parameters of external series RL-circuit, shunting piezoelectric element attached to the surface of thin-walled shell in the form of half-cylinder and providing the best variants of damping for one or two vibration modes.

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Acknowledgement

The work was supported by RFBR under grant no. 17-41-590152- r-ural-a.

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Correspondence to N. A. Yurlova .

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Matveenko, V.P., Yurlova, N.A., Sevodina, N.V., Oshmarin, D.A., Yurlov, M.A. (2019). Optimization of the Dissipative Properties of Electroelastic Bodies with Electric Circuits Through the Analysis of Natural Vibrations. In: Matveenko, V., Krommer, M., Belyaev, A., Irschik, H. (eds) Dynamics and Control of Advanced Structures and Machines. Springer, Cham. https://doi.org/10.1007/978-3-319-90884-7_12

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  • DOI: https://doi.org/10.1007/978-3-319-90884-7_12

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