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2019 | OriginalPaper | Chapter

15. Multimodal Damping of a Nonlinear Structure with a Passive Piezoelectric Network

Authors : B. Lossouarn, J.-F. Deü, G. Kerschen

Published in: Special Topics in Structural Dynamics, Volume 5

Publisher: Springer International Publishing

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Abstract

This work proposes the implementation of a multimodal and fully passive piezoelectric tuned vibration absorber that mitigates several resonances of a nonlinear structure. By extending a principle of similarity, an analogous electrical network is designed in order to reproduce the dynamics of the mechanical structure. Several electrical resonances are simultaneously tuned to the mechanical resonances, thus providing the equivalent of a multimodal vibration absorber from electromechanical coupling through an array of piezoelectric patches. Furthermore, the use of a nonlinear capacitor in the analogous network generates an autonomous adjustment of the electrical resonance frequencies when the structure reaches the nonlinear domain. The interest of this method is proved experimentally by mitigating vibration over a wide frequency range that covers the first three modes of a beam with cubic nonlinearity.

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Literature
1.
go back to reference Hagood, N.W., von Flotow, A.: Damping of structural vibrations with piezoelectric materials and passive electrical networks. J. Sound Vib. 146, 243–268 (1991)CrossRef Hagood, N.W., von Flotow, A.: Damping of structural vibrations with piezoelectric materials and passive electrical networks. J. Sound Vib. 146, 243–268 (1991)CrossRef
2.
go back to reference Soltani, P., Kerschen, G.: The nonlinear piezoelectric tuned vibration absorber. Smart. Mater. Struct. 24, 075015 (2015)CrossRef Soltani, P., Kerschen, G.: The nonlinear piezoelectric tuned vibration absorber. Smart. Mater. Struct. 24, 075015 (2015)CrossRef
3.
4.
go back to reference Lossouarn, B., Deü, J.F., Kerschen, G.: Passive realization of a nonlinear piezoelectric tuned vibration absorber with a saturable inductor. In: Proceedings of the 9th European Nonlinear Dynamics Conference (2017) Lossouarn, B., Deü, J.F., Kerschen, G.: Passive realization of a nonlinear piezoelectric tuned vibration absorber with a saturable inductor. In: Proceedings of the 9th European Nonlinear Dynamics Conference (2017)
5.
go back to reference Lossouarn, B., Deü, J.F., Aucejo, M.: Multimodal vibration damping of a beam with a periodic array of piezoelectric patches connected to a passive electrical network. Smart Mater. Struct. 24, 115037 (2015)CrossRef Lossouarn, B., Deü, J.F., Aucejo, M.: Multimodal vibration damping of a beam with a periodic array of piezoelectric patches connected to a passive electrical network. Smart Mater. Struct. 24, 115037 (2015)CrossRef
Metadata
Title
Multimodal Damping of a Nonlinear Structure with a Passive Piezoelectric Network
Authors
B. Lossouarn
J.-F. Deü
G. Kerschen
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-319-75390-4_15

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