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Control of airflow induced vibrations on a cantilever beam by actuating on the exposure of its machined surface notch pattern

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Abstract

In the context of aeroelasticity and control via active geometries, this article presents the problem of a cantilever beam with a surface notch pattern exposed to airflow and the means to control its vibration levels by actuating on a movable bulkhead, covering gradually its surface, as well to analyze the limits of this control, as the airspeed varies. To investigate how surface notches influence the dynamic response, nine patterns were compared by submitting them to an aeroelastic test. Next, the beam that provided the highest power associated with the vibration was submitted to another test, in which its surface was gradually covered by a bulkhead in fixed position steps. The RMS values were obtained and an interpolation function, which correlates the airspeed and bulkhead position inputs with the output of vibration levels of the beam, was calculated. The control system plant’s model was derived by combining the experimental analysis with a theoretical approach based on the Euler–Bernoulli theory and finite element analysis. The control system was designed considering cascade loops to control the vibration levels of the beam and the bulkhead position simultaneously. The inner and outer loops were tuned via Root Locus and the Ziegler–Nichols methods to perform the control, respectively. It was found that the control system was able to compensate for the airspeed variation by maintaining the vibration level output in a desirable reference value due to bulkhead position actuation. Also, the system lost its efficiency for quick changes in airspeed.

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Acknowledgements

The authors would like to extend sincere acknowledgments to the Mechanical Engineering Department of the Federal University of São Carlos and the Aeronautical Engineering Department of University of São Paulo for enabling this research.

Funding

This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.

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Author notes

  1. Andre L. G. Rodrigues, Jorge H. Bidinotto and Vitor R. Franco have contributed equally to this work.

Authors and Affiliations

  1. Mechanical Engineering Department, Federal University of São Carlos, Rod. Washington Luis s/n, São Carlos, São Paulo, 13565-905, Brazil

    Andre L. A. Paladini, Andre L. G. Rodrigues & Vitor R. Franco

  2. Aeronautical Engineering Department, São Carlos School of Engineering, University of São Paulo, Av. José Antônio Santilli, 1050, São Carlos, São Paulo, 13568-250, Brazil

    Andre L. A. Paladini & Jorge H. Bidinotto

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  1. Andre L. A. Paladini
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Correspondence to Andre L. A. Paladini.

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Paladini, A.L.A., Rodrigues, A.L.G., Bidinotto, J.H. et al. Control of airflow induced vibrations on a cantilever beam by actuating on the exposure of its machined surface notch pattern. J Braz. Soc. Mech. Sci. Eng. 45, 334 (2023). https://doi.org/10.1007/s40430-023-04255-1

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