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Investigation on the Performance of a Velocity Feedback Control Unit for Structural Vibration Control: Theory and Experiments

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Structural Health Monitoring, Photogrammetry & DIC, Volume 6

Abstract

A valuable solution for structural vibration control of lightly damped systems, subjected to random disturbance, is to provide active damping by generating a control force proportional to the local velocity of the structure. It has been shown in the literature that an optimal feedback gain exists, at which the kinetic energy of the structure is minimised. Furthermore, other studies have shown that the minimisation of the kinetic energy can be approximated with the maximisation of the power absorbed by the control unit, reducing the amount of information required for the estimation of the performance of the control system. In this paper the reduction of flexural vibration on a plate by means of a local velocity feedback control, with a collocated inertial actuator and sensor pair, is considered. The performance of the control unit is investigated both numerically and experimentally, in terms of the kinetic energy of the structure and the power absorbed by the control unit. The influence of the frequency range considered in the assessment of the performance is analysed. In particular, the equivalence between the minimisation of the kinetic energy and the maximisation of the power absorbed is investigated, as a crucial step into the design of a self-contained locally tunable control unit.

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References

  1. Preumont, A.: Vibration Control of Active Structures: An Introduction. vol. 179. Springer Science & Business Media, Dordrecht (2011)

    Chapter  Google Scholar 

  2. Elliott, S., Zilletti, M., Gardonio, P.: Self-tuning of local velocity feedback controllers to maximise power absorption. In: Recent Advances Structural Dynamics: Proceedings of the X International Conference, 12pp. University of Southampton (2010)

    Google Scholar 

  3. Zilletti, M., Elliott, S.J., Rustighi, E.: Optimisation of dynamic vibration absorbers to minimise kinetic energy and maximise internal power dissipation. J. Sound Vib. 331(18), 4093–4100 (2012)

    Article  Google Scholar 

  4. Zilletti, M., Gardonio, P., Elliott, S.J.: Optimisation of a velocity feedback controller to minimise kinetic energy and maximise power dissipation. J. Sound Vib. 333(19), 4405–4414 (2014)

    Article  Google Scholar 

  5. Gardonio, P., Miani, S., Blanchini, F., Casagrande, D., Elliott, S.: Plate with decentralised velocity feedback loops: power absorption and kinetic energy considerations. J. Sound Vib. 331(8), 1722–1741 (2012)

    Article  Google Scholar 

  6. Baumann, O.N., Elliott, S.J.: An experiment comparing centralised and decentralised control using inertial actuators. In: ForumAcusticum (2005)

    Google Scholar 

  7. Baumann, O.N., Elliott, S.J.: The stability of decentralized multichannel velocity feedback controllers using inertial actuators. J. Acoust. Soc. America 121(1), 188–196 (2007)

    Article  Google Scholar 

  8. Leissa, A.W.: Vibration of Plates. Technical Report. OHIO STATE UNIV COLUMBUS (1969)

    MATH  Google Scholar 

  9. Rohlfing, J., Elliott, S., Gardonio, P.: Feedback compensator for control units with proof-mass electrodynamic actuators. J. Sound Vib. 331(15), 3437–3450 (2012)

    Article  Google Scholar 

  10. Elliott, S.J., Zilletti, M.: Scaling of electromagnetic transducers for shunt damping and energy harvesting. J. Sound Vib. 333(8), 2185–2195 (2014)

    Article  Google Scholar 

  11. Elliott, S., Serrand, M., Gardonio, P.: Feedback stability limits for active isolation systems with reactive and inertial actuators. J. Vib. Acoust. 123(2), 250–261 (2001)

    Article  Google Scholar 

  12. Zilletti, M., Elliott, S.J., Gardonio, P.: Self-tuning control systems of decentralised velocity feedback. J. Sound Vib. 329(14), 2738–2750 (2010)

    Article  Google Scholar 

  13. Camperi, S., Ghandchi-Tehrani, M., Elliott, S.J.: Experimental maximisation of the power absorbed by an inertial actuator for structural vibration control. In: 24th International Congress on Sound and Vibration (ICSV24), p. 8 (2017)

    Google Scholar 

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Acknowledgements

This research work was supported by the European Commission as “Marie Sklodowska-Curie Fellowship for Early Stage Research” program through the “Initial Training Network” (ITN) within the seventh framework project (FP7) “Advanced Training and Research in Energy Efficient Smart Structures” (ANTARES) (Grant Agreement 606817).

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Correspondence to S. Camperi .

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Camperi, S., Ghandchi-Tehrani, M., Elliott, S.J. (2019). Investigation on the Performance of a Velocity Feedback Control Unit for Structural Vibration Control: Theory and Experiments. In: Niezrecki, C., Baqersad, J. (eds) Structural Health Monitoring, Photogrammetry & DIC, Volume 6. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-74476-6_21

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  • DOI: https://doi.org/10.1007/978-3-319-74476-6_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-74475-9

  • Online ISBN: 978-3-319-74476-6

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