Smart Machines with Flexible Rotors

  • Arthur W. Lees
  • Michael I. Friswell
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 23)


The concept of smart machinery is of current interest. Several technologies are relevant in this quest including magnetic bearings, shape memory alloys (SMA) and piezoelectric activation. Recently a smart bearing pedestal was proposed based on SMAs and elastomeric O-rings. However, such a device is clearly relevant only for the control of rigid rotors; for flexible rotors there is a need for some modification on the rotor itself. In this paper, equations of motion are developed to describe a rotor with a force generator (for example, a piezoelectric element) mounted on it. It is shown that such a system may be used to compensate for imbalance by inducing a rotor bend. This leads to some questions as to the optimum control strategies, and the paper discusses some of the possibilities.


Rotordynamics Control Imbalance Rotor bend Piezoelectric 


  1. 1.
    Schweitzer G (1998) Magnetic bearings as a component of smart rotating machinery. Proceedings of 5th international conference on rotordynamics, IFToMM, 7–10 Sept 1998Google Scholar
  2. 2.
    Lees AW, Jana S, Inman DJ, Cartmell MP (2007) The control of bearing stiffness using shape memory. Proceedings of ISCORMA, Calgary, Alberta, Aug. 2007Google Scholar
  3. 3.
    Horst H-G, Wolfel HP (2004) Active vibration control of a high speed rotor using PZT patches on the shaft surface. J Intell Mater Syst Struct 15:721–728CrossRefGoogle Scholar
  4. 4.
    Sloetjes PJ, de Boer A (2006) Piezoceramics-based devices for active balancing of flexible shafts. Proceedings of ISMA, Leuven, Belgium, Sept 2006, pp 543–555Google Scholar
  5. 5.
    Sloetjes PJ, de Boer A (2008) Vibration reduction and power generation with piezo- ceramic sheets mounted to a flexible shaft. J Intell Mater Syst Struct 19(1):25–34CrossRefGoogle Scholar
  6. 6.
    Kunze H, Riedel M, Schmidt K, Bianchini I (2003) Vibration reduction on auto- motive shafts using piezoceramics. Proc SPIE Smart Struct Mater 5054:382–386CrossRefGoogle Scholar
  7. 7.
    Lees AW (2011) Smart machines with flexible rotors. Mech Syst Signal Process 25:373–382CrossRefGoogle Scholar
  8. 8.
    Gosiewski Z (1985) Automatic balancing of flexible rotors, 1. theoretical background. J Sound Vib 100(4):551–567CrossRefGoogle Scholar
  9. 9.
    Gosiewski Z (1987) Automatic balancing of flexible rotors, 2. synthesis of system. J Sound Vib 114(1):103–119CrossRefMathSciNetGoogle Scholar
  10. 10.
    Vandevegte J (1981) Balancing of flexible rotors during operation. J Mech Eng Sci 23(5):257–261CrossRefGoogle Scholar
  11. 11.
    Vandevegte J, Lake RT (1978) Balancing of rotating systems during operation. J Sound Vib 57(2):225–235CrossRefGoogle Scholar
  12. 12.
    Blanco-Ortega A, Beltran-Carbajal F, Favela-Contreras A, Silva-Navarro G (2008) Active disk for automatic balancing of rotor-bearing systems. Proceedings of the American control conference, 11–13 June 2008, pp 3023–3028Google Scholar
  13. 13.
    Zeng S, Wang XX (1998) The electromagnetic balancing regulator and the automatic balancing system. J Sound Vib 209(1):5–13CrossRefMathSciNetGoogle Scholar
  14. 14.
    Chee CYK, Tong L, Steven GP (1998) A review on the modeling of piezoelectric sensors and actuators incorporated in intelligent structures. J Intell Mater Syst Struct 9(1):3–19CrossRefGoogle Scholar
  15. 15.
    Chopra I (2002) Review of state of art of smart structures and integrated systems. AIAA Journal 40(11):2145–2187CrossRefGoogle Scholar
  16. 16.
    Crawley EF (1994) Intelligent structures for aerospace: a technology overview and assessment. AIAA Journal 32(8):1689–1699CrossRefGoogle Scholar
  17. 17.
    Crawley EF, Anderson EH (1990) Detailed models of piezoceramic actuation of beams. J Intell Mater Syst Struct 1(1):4–25CrossRefGoogle Scholar
  18. 18.
    Crawley EF, de Luis J (1987) Use of piezoelectric actuators as elements of intelligent structures. AIAA Journal 25(10):1373–1385CrossRefGoogle Scholar
  19. 19.
    Benjeddou A (2000) Advances in piezoelectric finite element modeling of adaptive structural elements: A survey. Comput Struct 76(4):347–363CrossRefGoogle Scholar
  20. 20.
    Leo DJ (2007) Engineering analysis of smart material systems. Wiley, HobokenGoogle Scholar
  21. 21.
    Erturk A, Inman DJ (2011) Piezoelectric energy harvesting. Wiley, HobokenGoogle Scholar
  22. 22.
    Bilgen O, Erturk A, Inman DJ (2010) Analytical and experimental characterization of macro-fiber composite actuated thin clamped-free unimorph benders. J Vib Acoust 132(5):051005Google Scholar
  23. 23.
    Friswell MI, Penny JET, Garvey SD, Lees AW (2010) Dynamics of rotating machines, Cambridge University Press, CambridgeGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.College of EngineeringSwansea UniversitySwanseaUK

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