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Abstract

The paper describes the dynamics of a composite cantilever beam with an active element. The vibrations of the kinematically excited beam are controlled with the use of a Macro Fiber Composite actuator. A proportional control algorithm is considered. During the analysis, actuator is powered by a time-varying voltage signal that is changed proportionally to the beam deflection. The MFC element control system with the implemented algorithm allowed for changing the stiffness of the tested structure. This is confirmed by the numerical and experimental results. Resonance curves for the beam with and without control are determined. The results show a very good agreement in qualitative terms.

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Bibliography

[1] R.B.Williams, G. Park, D.J. Inman, and W.K.Wilkie. An overview of composite actuators with piezoceramic fibers. In: Proceedings of 20th International Modal Analysis Conference, Los Angeles, CA, 4–7 February, 2002, SPIE – The International Society for Optical Engineering, 4753:421–427, 2002.
[2] B.W. Lacroix. On the mechanics, computational modeling and design implementation of piezoelectric actuators on micro air vehicles. Ph.D. Thesis, University of Florida, Gainesville, USA, 2013.
[3] T.A. Probst. Evaluating the Aerodynamic Performance of MFC-Actuated Morphing Wings to Control a Small UAV. Masters Thesis, Virginia Polytechnic Institute and State University, Blacksburg, USA, 2012.
[4] M. Borowiec, M. Bochenski, J. Gawryluk, and M. Augustyniak. Analysis of the macro fiber composite characteristics for energy harvesting efficiency. In: Awrejcewicz J., editor, Dynamical Systems: Theoretical and Experimental Analysis, vol. 182 of Springer Proceedings in Mathematics and Statistics Series, pages 27–37, 2016. doi: 10.1007/978-3-319-42408-8_3.
[5] J. Latalski. Modelling of macro fiber composite piezoelectric active elements in ABAQUS system. Eksploatacja i Niezawodność – Maintenance and Reliability, 52(4):72–78, 2011.
[6] A. Teter and J. Gawryluk. Experimental modal analysis of a rotor with active composite blades. Composite Structures, 153:451–467, 2016. doi: 10.1016/j.compstruct.2016.06.013.
[7] J. Gawryluk, A. Mitura, and A. Teter. Influence of the piezoelectric parameters on the dynamics of an active rotor. AIP Conference Proceedings, 1922(100010):1–8, 2018. doi: 10.1063/1.5019095.
[8] A. Mitura, J. Gawryluk, and A. Teter. Numerical and experimental studies on the rotating rotor with three active composite blades. Eksploatacja i Niezawodność – Maintenance and Reliability, 4(19):572–581, 2017. doi: 10.17531/ein.2017.4.11.
[9] J. Gawryluk, A. Mitura, and A. Teter. Dynamic response of a composite beam rotating at constant speed caused by harmonic excitation with MFC actuator. Composite Structures, 210:657–662, 2019. doi: 10.1016/j.compstruct.2018.11.083.
[10] M. Rafiee, F. Nitzsche, and M. Labrosse. Dynamics, vibration and control of rotating composite beams and blades: A critical review. Thin-Walled Structures, 119:795–819, 2017. doi: 10.1016/j.tws.2017.06.018.
[11] R. Alkhatib and M.F. Golnaraghi. Active structural vibration control: a review. The Shock and Vibration Digest, 35(5):367–383, 2003.
[12] P.P. Friedmann. On-blade control of rotor vibration, noise, and performance: just around the corner? Journal of the American Helicopter Society, 59(4):1–37, 2014. doi: 10.4050/JAHS.59.041001.
[13] J.X. Gao and W.H. Liao. Vibration analysis of simply supported beams with enhanced selfsensing active constrained layer damping treatments. Journal of Sound and Vibration, 280(1-2):329–357, 2005. doi: 10.1016/j.jsv.2003.12.019.
[14] J.C. Lin and M.H. Nien. Adaptive control of a composite cantilever beam with piezoelectric damping-modal actuators/sensors. Composite Structures, 70(2):170–176, 2005. doi: 10.1016/j.compstruct.2004.08.020.
[15] H.A. Sodano. Macro-Fiber Composites for Sensing, Actuation and Power Generation. Masters Thesis, Virginia Polytechnic Institute and State University, Blacksburg, USA, 2003.
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Authors and Affiliations

Jarosław Gawryluk
1
Andrzej Mitura
1
Andrzej Teter
1

  1. Department of Applied Mechanics, Mechanical Engineering Faculty, Lublin University of Technology, Lublin, Poland.
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Abstract

In this paper, a model of an electromagnetic system with two levitating magnets is presented. Modeling was performed using the results of experiments. The data obtained make it possible to fit the magnetic forces between two magnets using a 5th order polynomial. The time series show that dry friction constitutes an important part of damping forces. The differential equations of motion consider strong nonlinearities of magnetic and damping forces. These terms cause the nonlinear hardening effect. The energy recovered by magnetic induction is dissipated in the resistors. Numerical simulations show that resistance has an impact on magnet dynamics and energy recovery. From the resonance characteristics obtained, optimal resistance is determined when energy recovery is the highest.
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Authors and Affiliations

Andrzej Mitura
1
ORCID: ORCID
Krzysztof Kecik
1
ORCID: ORCID

  1. Faculty of Mechanical Engineering, Department of Applied Mechanics, Lublin University of Technology, Nadbystrzycka 36, 20-618 Lublin, Poland

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