Influence of the PZT actuator asymmetry on the LQR control parameters in the active reduction vibrations of beams

• Autorzy: Kuras Romuald

Identyfikatory

DOI

10.21008/j.0860-6897.2022.3.05

• Języki publikacji: EN

Abstrakty

EN

The paper deals with the active reduction of beam vibrations using piezoelectric transducers (PZT). The LQR parameters of the control of an asymmetric actuator (a-PZT) depending on the length of its arms were analysed. The results were compared to those of the symmetrical PZT (s-PZT), so far used as standard. The actuator is modeled with two bending moments or two pairs of forces. The design of the LQR controller also took into account the location of the PZT on the beam. The reduction efficiency can also be increased by using asymmetrical PZT. To obtain the vibration asymmetry of the beam, simply supported at both ends, an asymmetrically point mass was added. The LQR control was applied to an asymmetric actuator on the beam. Two-parameter optimization was used to find the optimal proportions of the a-PZT arms. For such a problem, the LQR control parameters were found, which ensure the highest efficiency of vibration reduction.

Słowa kluczowe

EN

beam; PZT; active vibration control; vibration reduction coefficient; effectiveness coefficient

PL

belka; PZT; aktywna kontrola drgań; współczynnik redukcji drgań; współczynnik efektywności

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2022
• Tom: Vol. 33, nr 3
• Strony: art. no. 2022305
• Opis fizyczny: Bibliogr. 12 poz., rys., wykr.

Twórcy

autor

Kuras Romuald

• Laboratory of Acoustics, Department of Electrical and Computer Engineering Fundamentals, Rzeszow University of Technology, Wincentego Pola 2, 35-959 Rzeszow, Poland

• https://orcid.org/+0000-0002-7862-6252

Bibliografia

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• 5. E. Żołopa, A. Brański; Comparison of Formulas Obtained for Analytical and LQ Idea Approaches to Determine the Optimal Actuator Location in Active Multimodal Beam Vibration Reduction; Arch. Acoust. 2014, 39(4), 599-603. DOI: https://doi.org/10.2478/aoa-2014-0064.
• 6. E. Żołopa, A. Brański; Analytical Determination of Optimal Actuators Position for Single Mode Active Reduction of Fixed-free Beam Vibration Using the Linear Quadratic Problem Idea; Acta. Phys. Pol. A 2014, 125. DOI: https://doi.org/10.12693/APhysPolA.125.A-155.
• 7. A. Brański, R. Kuras; Asymmetrical PZT applied to active reduction of asymmetrically vibrating beam - semi-analytical solution; Arch. Acoust. 2022, accepted.
• 8. A. Premount; Vibration Control of Active Structures, 3rd ed.; Springer, Berlin, Germany, 2011.
• 9. S. Kaliski; Vibrations and Waves; PWN, Warsaw, 1986.
• 10. S. Le; Active vibration control of a flexible beam, Master’s Theses, San Jose State University, San Jose, USA 2009. DOI: https://doi.org/10.31979/etd.r8xg-waar.
• 11. Q. Mao, S. Pietrzko; Control of Noise and Structural Vibration; Springer, London, England 2013.
• 12. S.Q. Zhang, R. Schmidt; LQR Control for Vibration Suppression of Piezoelectric Integrated Smart Structures; Proc. Appl. Math. Mech. 2012, 12(1), 695-696. DOI: https://www.doi.org/10.1002/pamm.201210336.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).