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Determination of Parameters of the External Electric Circuits Providing Maximum Damping of Vibrations of Electroelastic Bodies

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Dynamics and Control of Advanced Structures and Machines

Abstract

The paper considers the piece-wise homogeneous bodies composed of elastic deformable elements, some of which show piezoelectric properties and can be coupled with series-connected external circuits via the electroded surfaces of piezoelements. The objective of this study is to develop effective algorithms of mathematical modeling, which will allow us to find the values of the circuit element parameters providing maximum damping of the system vibrations at the prescribed resonant frequencies. The optimal values of the parameters for the circuit elements are determined based on the natural vibration problem and equivalent circuits for elastic system incorporating piezoelectric element and external electric circuit. The efficiency of the proposed approach is demonstrated by solving particular problems.

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Acknowledgements

The work was supported by RFBR under grants No. 14-01-96003-r-ural-a and No. 15-01-03976-a.

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Correspondence to V. P. Matveenko .

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Matveenko, V.P., Sevodina, N.V., Yurlova, N.A., Oshmarin, D.A., Yurlov, M.A., Ivanov, A.S. (2017). Determination of Parameters of the External Electric Circuits Providing Maximum Damping of Vibrations of Electroelastic Bodies. In: Irschik, H., Belyaev, A., Krommer, M. (eds) Dynamics and Control of Advanced Structures and Machines. Springer, Cham. https://doi.org/10.1007/978-3-319-43080-5_10

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  • DOI: https://doi.org/10.1007/978-3-319-43080-5_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-43079-9

  • Online ISBN: 978-3-319-43080-5

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