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An adaptronic approach to active vibration control of machine tools with parallel kinematics

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Abstract

In recent years, more and more lightweight components are used in machine tools in order to provide advantages in highly dynamic applications because of their reduced mass. One major drawback of these lightweight systems is their sensitivity to structural vibrations which are induced by high jerks during fast positioning and the machining process itself. Moreover, in case of parallel kinematic structures, the dynamic response depends nonlinearly on the actual pose of the mechanism in the workspace. In this paper, a concept for active vibration control for a machine tool with planar parallel kinematics is presented. For this purpose, an adaptronic rod has been developed and integrated into the existing machine tool. The unit consists of a high-power lead–zirconate–titanate piezo stack actuator, which is able to induce forces in longitudinal direction of the rod, and various sensors so that different control concepts from the field of active vibration control can be implemented and tested. Based on a flexible multibody system model of the machine tool, a hierarchical controller consisting of an integrated force feedback as low authority Control combined with a frequency-shaped linear quadratic regulator has been designed. The experimental results presented here demonstrate the ability of the chosen approach to clearly suppress the first dominating resonance without loss of performance in the low frequency range, which is often a serious problem of active damping concepts.

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References

  1. Tsai L-W (1999) Robot analysis—the mechanics of serial and parallel manipulators. Wiley, New York

    Google Scholar 

  2. Merlet J-P (2000) Parallel robots. Kluwer, Dordrecht

    MATH  Google Scholar 

  3. Clavel R (1988) DELTA, a fast robot with parallel geometry. In: Proc. of the 18th international symposium on industrial robots, Lausanne, pp 94–100

  4. Janocha H (2007) Adaptronics and smart structures—basics, materials, design, and applications. Springer, Berlin

    Google Scholar 

  5. Symens W, Van Brussel H, Swevers J (2004) Gain-scheduling control of machine tools with varying structural flexibility. Ann CIRP 53:321–324

    Article  Google Scholar 

  6. Dumur D, Boucher P, Ramond G (2000) Direct adaptive generalized predictive control—application to motor drives with flexible modes. Ann CIRP 49:271–274

    Article  Google Scholar 

  7. Brecher C, Schulz A (2005) Electrohydraulic active damping system. Ann CIRP 54:289–392

    Article  Google Scholar 

  8. Kern S, Roth M, Abele E, Nordmann R (2006) Active damping of chatter vibrations in high speed milling using an integrated active magnetic bearing. In: Proc. of the adaptronic congress 2006, Göttingen

  9. Fleischer J, Munzinger C, Driess W, Stümper M, Wauer J, Rudolf C (2005) Adaptronische Strebe zur Genauigkeitssteigerung. wt Werkstattstechnik 9:632–636 (in German)

    Google Scholar 

  10. Ast A (2008) Control concepts for machine tools with parallel kinematics and flexible bodies. Dissertation. Shaker Verlag, Aachen

    Google Scholar 

  11. Heisel U, Maier W (2002) New structural alternatives for machine tools. Ann Ger Acad Soc Prod Eng IX/1:135–138

    Google Scholar 

  12. Sciavicco L, Siciliano B (1996) Modeling and control of robot manipulators. McGraw-Hill, New York

    Google Scholar 

  13. Weck M, Brecher C (2006) Werkzeugmaschinen 3: mechatronische Systeme, Vorschubantriebe, Prozessdiagnose. Springer, Berlin (in German)

    Google Scholar 

  14. Ast A, Eberhard P (2006) Flatness-based control of parallel kinematics using multibody systems—simulation and experimental results. Arch Appl Mech 76:181–197

    Article  MATH  Google Scholar 

  15. Fliess M, Lévine J, Martin P, Rouchon P (1995) Flatness and defect of nonlinear systems: introductory theory and examples. Int J Control 61:1327–1361

    Article  MATH  Google Scholar 

  16. Shabana AA (2005) Dynamics of multibody systems. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  17. Preumont A (2006) Mechatronics—dynamics of electromechanical and piezoelectric systems. Springer, Dordrecht

    MATH  Google Scholar 

  18. Dietz S (1999) Vibration and fatigue analysis of vehicle systems using component modes. Fortschritt-Berichte VDI, Reihe 12, Nr. 401. VDI-Verlag, Düsseldorf

  19. Preumont A (2002) Vibration control of structures. Kluwer, Dordrecht

    MATH  Google Scholar 

  20. Gawronski W (2004) Advanced structural dynamics and active control of structures. Springer, New York

    Book  Google Scholar 

  21. Ast A, Eberhard P (2008) Active vibration control for a machine tool with parallel kinematics and adaptronic actuator. J Comput Nonlinear Dyn (accepted for publication)

  22. Kwakernaak H, Sivan R (1972) Linear optimal control systems. Wiley, New York

    MATH  Google Scholar 

  23. Dorf RC, Bishop RH (2001) Modern control systems. Prentice Hall, Upper Saddle River

    Google Scholar 

  24. Föllinger O (1992) Regelungstechnik. Hüthig Buch Verlag, Heidelberg (in German)

    Google Scholar 

  25. Föllinger O (1993) Lineare Abtastsysteme. Oldenburg Verlag, München (in German)

    Google Scholar 

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Acknowledgments

This research was supported by the German Research Foundation (DFG) in the framework of SPP 1156 “Adaptronics for Machine Tools”, projects EB 195/7-2 and HE 1656/68-2. This support is highly appreciated.

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Correspondence to Peter Eberhard.

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Ast, A., Braun, S., Eberhard, P. et al. An adaptronic approach to active vibration control of machine tools with parallel kinematics. Prod. Eng. Res. Devel. 3, 207–215 (2009). https://doi.org/10.1007/s11740-008-0142-0

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  • DOI: https://doi.org/10.1007/s11740-008-0142-0

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