Active vibration control in a two degrees of freedom structure using piezoelectric transducers associated with negative capacitance shunt circuits


The need for control or suppression of vibrations in mechanical structures has arisen because of their damaging effects on people, civil structures and machine parts. The present work aims to perform the vibration control of a portico type structure with two degrees of freedom, using piezoelectric transducers associated with negative capacitance shunt circuits with series electrical resistance. For this purpose, an electronic circuit with passive and active components associated with piezoelectric transducers QP10W was developed to produce a negative capacitance shunt circuit, implemented through Negative Impedance Converters (NIC) and using operational amplifiers. The response amplitudes of the system in the time domain and the frequency in free and forced vibration were analyzed in tests performed with and without shunt circuit operation in the system. Considering free vibration, a reduction of 9.01 dB was obtained for the first natural frequency and of 6.95 dB for the second one. For forced vibration, reductions of 1.5 dB were obtained for the first natural frequency and 2.19 dB for the second natural frequency, respectively. The vibration reductions obtained with the proposed system demonstrate the efficiency of the system.

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  1. 1.

    Cheng FY, Jiang H, Lou K (2008) Smart structures: innovative systems for seismic response control, 1st ed. Taylor & Francis Group

  2. 2.

    Dorf RC, Bishop RH (2001) Sistemas de Controle Modernos, eigth ed., LTC Publishing

  3. 3.

    Yan B, Wang K, Hu Z, Wu C, Zhang X (2017) Shunt damping vibration control technology: a review. Appl Sci 7(794):1–31.

    Article  Google Scholar 

  4. 4.

    Moheimani SOR, Fleming AJ (2006) Piezoelectric transducers for vibration control and damping. Springer

  5. 5.

    Behrens S, Fleming AJ, Moheimani SOR (2001) New method for multiple-mode shunt damping of structural vibration using a single piezoelectric transducer. In: Proceedings of SPIE 4331, smart structures and materials: damping and IsolationSmart structures and materials, pp 239–250.

  6. 6.

    Behrens S, Fleming AJ, Moheimani SOR (2003) A broadband controller for shunt piezoelectric damping of structural vibration. Smart Mater. Struct 12:18–28

  7. 7.

    Marneffe B, Preumont A (2008) Vibration damping with negative capacitance shunts: theory and experiment. Smart Mater Struct 17:035015.

    Article  Google Scholar 

  8. 8.

    Beck BS, Cunefare KA, Collet M, Ruzzene M (2011) Active vibration control of a stiffened panel through application of negative capacitance shunts. In: Proceedings of SPIE 7977, active and passive smart structures and integrated systems 79770C.

  9. 9.

    Tateo F, Collet M, Ouisse M, Ichchou MN, Cunefare KA, Abbe A (2014) Experimental characterization of a bi-dimensional array of negative capacitance piezo-patches for vibroacoustic control. J Intell Mater Syst Struct 26(8):952–964.

    Article  Google Scholar 

  10. 10.

    Heuss O, Salloum R, Mayer D, Melz T (2014) Tuning of a vibration absorber with shunted piezoelectric transducers. Arch Appl Mech 86:1715–1732.

    Article  Google Scholar 

  11. 11.

    Beck BS, Cunefare KA, Collet M (2014) Response-based tuning of a negative capacitance shunt for vibration control. J Intell Mater Syst Struct 25(13):1585–1595.

    Article  Google Scholar 

  12. 12.

    Wahid A, Muthalif AA, Nor KAM (2016) Investigating negative capacitance shunt circuit for broadband vibration damping and utilizing ACO for optimization. Int J Circuits Electron 1:168–173. ISSN: 2367-8879

  13. 13.

    Honda T, Jikuya I, Takagi K (2018) A parameter tuning method of negative capacitor circuit for piezoelectric shunt damping. Active Passive Smart Struct Integr Syst XII 10595(1059533):1–8.

    Article  Google Scholar 

  14. 14.

    Berardengo M, Manzoni S, Thomas O, Giraud-Audine C (2015) A new electrical circuit with negative capacitances to enhance resistive shunt damping. In: Proceedings of the ASME 2015 conference on smart materials, adaptive structure and intelligent systems (2015), 1–9.

  15. 15.

    Berardengo M, Thomas O, Giraud-Audine C, Manzoni S (2016) Improved resistive shunt by means of negative capacitance: new circuit, performances and multi-mode control. Smart Mater Struct 25:075033

  16. 16.

    Berardengo M, Thomas O, Giraud-Audine C, Manzoni S (2017) Improved shunt damping with two negative capacitances: an efficient alternative to resonant shunt. J Intell Mater Syst Struct 28(16):2222–2238.

    Article  Google Scholar 

  17. 17.

    Gripp JAB, Heuss O, Góes LCS, Melz T (2014) Adaptive resonant piezoelectric shunt damping enhanced by a synthetic negative capacitance. Proceedings of ISMA2014 Including USD2014, pp 653–666

  18. 18.

    Yan B, Wang K, Hu Z, Wu C, Zhang X (2017) Shunt damping vibration control technology: a review. Appl Sci 7(494):1–31.

    Article  Google Scholar 

  19. 19.

    Gonçalves APS (2016) Active control of vibrations in a 2 DOF frame using piezoelectric transducers associated with negative capacitance shunt circuits, masters dissertation, Federal University of Campina Grande, Campina Grande, 2016

  20. 20.

    PI CERAMICS. Catalogue of Piezoelectric Actuators and Sensors.

  21. 21.

    Park CH, Park HC (2003) Multiple-mode structural vibration control using negative capacitive shunt damping. KSME Int J 17(11):1650–1658.

    Article  Google Scholar 

  22. 22.

    Santana DC (2007) Numerical modeling and optimization of piezoelectric shunts applied to passive vibration control, doctoral thesis, Federal University of Uberlandia, Uberlandia

  23. 23.

    Venet MZ, Pereira AHA (2004) Materiais e Dispositivos Piezoelétricos: Fundamentos e Desenvolvimento. Apostila - Curso de Piezoeletrico da ATCP do Brasil, São Carlos-SP

  24. 24.

    Institute of Electrical and Electronics Engineers Inc. IEEE Standard on Piezoelectricity. ANSI/IEEE Std. 176–1987, 1988

  25. 25.

    Viana FAC (2005) Amortecimento de Vibrações Usando Pastilhas Piezeletricas e Circuitos Shunt Ressonantes, Master thesis. Universidade Federal de Uberlandia, Uberlandia

  26. 26.

    Hagood NW, Von Flotow A (1991) Damping of structural vibrations with piezoelectric materials and passive electrical networks. J Sound Vibr 146:243–268.

    Article  Google Scholar 

  27. 27.

    QUICKPACK PIEZO PRODUCTS. Material Properties & Spec Sheets. Midé Technology Corporation

  28. 28.

    ST MICROELECTRONICS. Datasheet LM 324, 2001.

  29. 29.

    Beck BS (2012) Negative capacitance shunting of piezoelectric patches for vibration control of continuous systems, master thesis, Georgia Institute of Technology, Georgia,

  30. 30.

    Behrens S (2000) Passive and semi-active vibration control of piezoelectric laminates, master thesis, University of Newcastle, Australia

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The authors acknowledge the financial support and the award fellowship provided by the Vibration and Instrumentation Laboratory of Federal University of Campina Grande (LVI/UFCG), National Council for Scientific and Technological Development (CNPq), Grants 306732/2012-2 and 444039/2014-7. This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) - Finance Code 001.

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Correspondence to Andreas Ries.

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Gonçalves, A., Almeida, A., Moura, E.d. et al. Active vibration control in a two degrees of freedom structure using piezoelectric transducers associated with negative capacitance shunt circuits. Int. J. Dynam. Control (2020).

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  • Vibration control
  • Piezoelectric transducers
  • Negative capacitance shunt circuit
  • Negative impedance converters