Skip to main content
Top
Published in: Computational Mechanics 1/2014

01-07-2014 | Original Paper

Controlling vibrations of a cutting process using predictive control

Authors: Achim Fischer, Peter Eberhard

Published in: Computational Mechanics | Issue 1/2014

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Unwanted vibrations in machining are detrimental to the equipment and the quality of the result. Notably chatter vibrations due to the regenerative effect are difficult to control and limit the achievable results. Typically, active and passive means are employed to prevent chatter from happening. This work proposes a predictive control strategy that actively uses information about the system past to predict future disturbances. Using those predicitions allows to counter the regenerative effect more effectively. The strategy is tested in simulation and improves the dynamic stability of the system greatly. It is robust with respect to quantitative errors in the disturbance predictions.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Altintas Y (2012) Manufacturing automation. Cambridge University Press, Cambridge Altintas Y (2012) Manufacturing automation. Cambridge University Press, Cambridge
2.
go back to reference Ambrósio JAC (2009) Distributed deformation: a finite element method. In: Ambrósio JAC, Eberhard P (eds) Advanced design of mechanical systems: from analysis to optimization. Springer, Berlin, pp 351–374 Ambrósio JAC (2009) Distributed deformation: a finite element method. In: Ambrósio JAC, Eberhard P (eds) Advanced design of mechanical systems: from analysis to optimization. Springer, Berlin, pp 351–374
3.
4.
go back to reference Armarego EJ, Brown RH (1969) The machining of metals. Prentice-Hall, London Armarego EJ, Brown RH (1969) The machining of metals. Prentice-Hall, London
5.
go back to reference Bayly PV, Halley JE, Mann BP, Davies MA (2003) Stability of interrupted cutting by temporal finite element analysis. J Manuf Sci Eng 125(2):220–225CrossRef Bayly PV, Halley JE, Mann BP, Davies MA (2003) Stability of interrupted cutting by temporal finite element analysis. J Manuf Sci Eng 125(2):220–225CrossRef
6.
go back to reference Brecher C, Manoharan D, Ladra U, Köpken HG (2010) Chatter suppression with an active workpiece holder. Prod Eng 4(2–3):239–245CrossRef Brecher C, Manoharan D, Ladra U, Köpken HG (2010) Chatter suppression with an active workpiece holder. Prod Eng 4(2–3):239–245CrossRef
7.
go back to reference Fehr J (2011) Automated and error controlled model reduction in elastic multibody systems. Schriften aus dem Institut für Technische und Numerische Mechanik der Universität Stuttgart, Shaker Verlag, Aachen Fehr J (2011) Automated and error controlled model reduction in elastic multibody systems. Schriften aus dem Institut für Technische und Numerische Mechanik der Universität Stuttgart, Shaker Verlag, Aachen
8.
go back to reference Fischer A, Eberhard P (2011) Simulation-based stability analysis of a thin-walled cylinder during turning with improvements using an adaptronic turning chisel. Arch Mech Eng 58(4):367–391 Fischer A, Eberhard P (2011) Simulation-based stability analysis of a thin-walled cylinder during turning with improvements using an adaptronic turning chisel. Arch Mech Eng 58(4):367–391
9.
10.
11.
go back to reference Ganguli A, Deraemaeker A, Preumont A (2007) Regenerative chatter reduction by active damping control. J Sound Vib 300(3–5):847–862CrossRef Ganguli A, Deraemaeker A, Preumont A (2007) Regenerative chatter reduction by active damping control. J Sound Vib 300(3–5):847–862CrossRef
12.
go back to reference Henninger C, Eberhard P (2005) Avoiding chatter by tuning the dynamics of the machine structure with a damped vibration absorber. In: Proceedings of the 5th Euromech Nonlinear Dynamics Conference, Eindhoven Henninger C, Eberhard P (2005) Avoiding chatter by tuning the dynamics of the machine structure with a damped vibration absorber. In: Proceedings of the 5th Euromech Nonlinear Dynamics Conference, Eindhoven
13.
go back to reference Insperger T, Stépán G (2011) Semi-discretization for time-delay systems. Springer, New YorkCrossRefMATH Insperger T, Stépán G (2011) Semi-discretization for time-delay systems. Springer, New YorkCrossRefMATH
14.
go back to reference Kienzle O (1952) Die Bestimmung von Kräften und Leistungen and spanenden Werkzeugen und Werkzeugmaschinen (in German). Zeitschrift des Vereins Deutscher Ingenieure 94:299–305 Kienzle O (1952) Die Bestimmung von Kräften und Leistungen and spanenden Werkzeugen und Werkzeugmaschinen (in German). Zeitschrift des Vereins Deutscher Ingenieure 94:299–305
15.
go back to reference König W, Essel K, Witte L (1981) Specific cutting force data for metal-cutting. Verein Deutscher Eisen-hüttenleute, Düsseldorf König W, Essel K, Witte L (1981) Specific cutting force data for metal-cutting. Verein Deutscher Eisen-hüttenleute, Düsseldorf
16.
go back to reference Muske KR, Meadows ES, Rawlings JB (1994) The stability of constrained receding horizon control with State estimation. In: Proceedings of the 1994 American Control Conference, pp. 2837–2841 Muske KR, Meadows ES, Rawlings JB (1994) The stability of constrained receding horizon control with State estimation. In: Proceedings of the 1994 American Control Conference, pp. 2837–2841
17.
go back to reference Rawlings JB, Mayne DQ (2009) Model predictive control: theory and design. Nob Hill, Madison Rawlings JB, Mayne DQ (2009) Model predictive control: theory and design. Nob Hill, Madison
18.
19.
go back to reference Sims ND (2007) Vibration absorbers for chatter suppression: a new analytical tuning methodology. J Sound Vib 301(3–5):592–607CrossRef Sims ND (2007) Vibration absorbers for chatter suppression: a new analytical tuning methodology. J Sound Vib 301(3–5):592–607CrossRef
20.
go back to reference Stépán G (1998) Delay-differential equation models for machine tool chatter. In: Dynamics and chaos in manufacturing processes, pp. 165–192 Stépán G (1998) Delay-differential equation models for machine tool chatter. In: Dynamics and chaos in manufacturing processes, pp. 165–192
21.
go back to reference Tobias SA (1965) Machine-tool vibration. Blackie and Sons, London Tobias SA (1965) Machine-tool vibration. Blackie and Sons, London
22.
go back to reference Tobias SA, Fishwick W (1958) Theory of regenerative machine tool chatter. Engineer 205:199–203 Tobias SA, Fishwick W (1958) Theory of regenerative machine tool chatter. Engineer 205:199–203
23.
go back to reference Wallrapp O (1994) Standardization of flexible body modeling in multibody system codes, part I: Definition of standard input data. Mech Struct Mach 22(3):283–304CrossRefMathSciNet Wallrapp O (1994) Standardization of flexible body modeling in multibody system codes, part I: Definition of standard input data. Mech Struct Mach 22(3):283–304CrossRefMathSciNet
Metadata
Title
Controlling vibrations of a cutting process using predictive control
Authors
Achim Fischer
Peter Eberhard
Publication date
01-07-2014
Publisher
Springer Berlin Heidelberg
Published in
Computational Mechanics / Issue 1/2014
Print ISSN: 0178-7675
Electronic ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-014-1014-4

Other articles of this Issue 1/2014

Computational Mechanics 1/2014 Go to the issue