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Spectral analysis and second-order cyclostationary analysis of the non-stationary stochastic motion of a boring bar on a lathe

Year 2015, Volume: 3 Issue: 3, 103 - 114, 30.12.2015

Abstract

In turning and boring, vibration is a frequent problem. The

motion of a boring bar is frequently influenced by force modulation, i.e.

the dynamic motion of the workpiece related to the residual rotor mass

imbalance influences the motion of the motion of the boring bar via the

relative dynamic motion between the cutting tool and the workpiece.

Second-order cyclostationary analysis of the non-stationary stochastic

motion of a boring on a lathe is carried out and compared with the

conventional spectrum estimation method of the power spectral density.

It is observed that the periodic nature of this dynamic motion suits well

in the cyclostationary framework because of the rotating motion on the

lathe. Also, it is found that cyclostationary analysis contains the time

information in the metal cutting process and it can provide insight on the

modulation structure of the frequencies involved in the boring operation.

References

  • Y. Altintas. Manufacturing Automation, Metal Cuting Mechanics, Machine Tool Vibrations, and CNC design. Cambridge University Press, 2000.
  • L. Håkansson. Adaptive Active Control of Machine-Tool Vibration in a Lathe—Analysis and Experiments. PhD thesis, Department of Production and Materials Engineering, Lund University, Sweden, 1999.
  • L. Pettersson. Vibrations in metal cutting: measurement, analysis and reduction. Licentiate thesis, Department of Telecmmunications and Signal Processing, Blekinge Institute of Technology, Sweden, 2002.
  • J. Tlusty. Analysis of the state of research in cutting dynamics. In Annals of the CIRP, volume 27/2, pages 583–589. CIRP, 1978.
  • D.W. Wu and C.R. Liu. An analytical model of cutting dynamics—Part 1: Model building. Journal of Engineering for Industry, Transactions of the ASME, 107(2):107–111, May 1985.
  • D.W. Wu and C.R. Liu. An analytical model of cutting dynamics—Part 2: Verification. Journal of Engineering for Industry, Transactions of the ASME, 107(2):112–118, May 1985.
  • I.E. Minis, E.B. Magrab, and I.O. Pandelidis. Improved methods for the prediction of chatter in turning—Part1: Determination of structural response parameters. Journal of Engineering for Industry, Transactions of the ASME, 112:12–20, February 1990.
  • I.E. Minis, E.B. Magrab, and I.O. Pandelidis. Improved methods for the prediction of chatter in turning—Part 2: Determination of cutting process parameters. Journal of Engineering for Industry, Transactions of the ASME, 112:21–27, February 1990.
  • I.E. Minis, E.B. Magrab, and I.O. Pandelidis. Improved methods for the prediction of chatter in turning—Part 3: A generalized linear theory. Journal of Engineering for Industry, Transactions of the ASME, 112:28– 35, February 1990.
  • S.M. Pandit, T.L. Subramanian, and S.M. Wu. Modeling machine tool chatter by time series. Journal of Engineering for Industry, Transactions of the ASME, 97:211–215, February 1975.
  • S.M. Pandit, T.L. Subramanian, and S.M. Wu. Stability of random vibrations with special reference to machine tool chatter. Journal of Engineering for Industry, Transactions of the ASME, 97:216–219, February 1975.
  • T. Kalmár-Nagy, G. Stépán, and F.C. Moon. Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations. Journal of Nonlinear Dynamics, 26:121–142, 2001.
  • J. Gradi´sek, E. Govekar, and I. Grabec. Chatter onset in non-regenerative cutting: A numerical study. Journal of Sound and Vibration, 242(5):829– 838, 2001.
  • E.W. Parker. Dynamic stability of a cantilever boring bar with machined flats under regenerative cutting conditions. Journal of Mechanical Engineering Sience, 12(2):104–115, February 1970.
  • G.M. Zhang and S.G. Kapoor. Dynamic modeling and analysis of the boring machining system. Journal of Engineering for Industry, Transactions of the ASME, 109(3):219–226, August 1987.
  • P.N. Rao, U.R.K. Rao, and J.S. Rao. Towards improwed design of boring bars—Part 1: Dynamic cutting force model with continuous system analysis for the boring bar. International Journal of Machine Tools and Manufacture, 28(1):33–44, 1988.
  • F. Kuster and P.E. Gygax. Cutting dynamics and stability of boring bars. CIRP Annals—Manufacturing Technology, 39(1):361–366, 1990.
  • S. Jayaram and M. Iyer. An analytical model for prediction of chatter stability in boring. SME technical paper, (MR00-202), Society of Manufacturing Engineers, 28:203–208, 2000.
  • I. Lazoglu, F. Atabey, and Y. Altintas. Dynamics of boring processes— Part III: Time domain modeling. International Journal of Machine Tools & Manufacture, 42:1567–1576, 2002.
  • M.K. Khraisheh, C. Pezeshki, and A.E. Bayoumi. Time series based analysis for primary chatter in metal cutting. Journal of Sound and Vibration, 180(1):67–87, 1995.
  • P-O. H. Sturesson, L. Håkansson, and I. Claesson. Identification of the statistical properties of the cutting tool vibration in a continuous turning operation—Correlation to structural properties. Mechanical Systems and Signal Processing, 11(3):459–489, 1997.
  • J. Gradi´sek, I. Grabec, S. Siegert, and R. Friedrich. Stochastic dynamics of metal cutting: Bifurcation phenomena in turning. Mechanical Systems and Signal Processing, 16(5):831–840, 2002.
  • E. Marui, S. Ema, and S. Kato. Chatter vibration of lathe tools—Part 1: General characteristics of chatter vibration. Journal of Engineering for Industry, Transactions of the ASME, 105(2):100–106, May 1983.
  • L. Andrén, L. Håkansson, A. Brandt, and I. Claesson. Identification of dynamic properties of boring bar vibrations in a continuous boring operation. Mechanical Systems & Signal Processing, 18(4):869–901, 2004.
Year 2015, Volume: 3 Issue: 3, 103 - 114, 30.12.2015

Abstract

References

  • Y. Altintas. Manufacturing Automation, Metal Cuting Mechanics, Machine Tool Vibrations, and CNC design. Cambridge University Press, 2000.
  • L. Håkansson. Adaptive Active Control of Machine-Tool Vibration in a Lathe—Analysis and Experiments. PhD thesis, Department of Production and Materials Engineering, Lund University, Sweden, 1999.
  • L. Pettersson. Vibrations in metal cutting: measurement, analysis and reduction. Licentiate thesis, Department of Telecmmunications and Signal Processing, Blekinge Institute of Technology, Sweden, 2002.
  • J. Tlusty. Analysis of the state of research in cutting dynamics. In Annals of the CIRP, volume 27/2, pages 583–589. CIRP, 1978.
  • D.W. Wu and C.R. Liu. An analytical model of cutting dynamics—Part 1: Model building. Journal of Engineering for Industry, Transactions of the ASME, 107(2):107–111, May 1985.
  • D.W. Wu and C.R. Liu. An analytical model of cutting dynamics—Part 2: Verification. Journal of Engineering for Industry, Transactions of the ASME, 107(2):112–118, May 1985.
  • I.E. Minis, E.B. Magrab, and I.O. Pandelidis. Improved methods for the prediction of chatter in turning—Part1: Determination of structural response parameters. Journal of Engineering for Industry, Transactions of the ASME, 112:12–20, February 1990.
  • I.E. Minis, E.B. Magrab, and I.O. Pandelidis. Improved methods for the prediction of chatter in turning—Part 2: Determination of cutting process parameters. Journal of Engineering for Industry, Transactions of the ASME, 112:21–27, February 1990.
  • I.E. Minis, E.B. Magrab, and I.O. Pandelidis. Improved methods for the prediction of chatter in turning—Part 3: A generalized linear theory. Journal of Engineering for Industry, Transactions of the ASME, 112:28– 35, February 1990.
  • S.M. Pandit, T.L. Subramanian, and S.M. Wu. Modeling machine tool chatter by time series. Journal of Engineering for Industry, Transactions of the ASME, 97:211–215, February 1975.
  • S.M. Pandit, T.L. Subramanian, and S.M. Wu. Stability of random vibrations with special reference to machine tool chatter. Journal of Engineering for Industry, Transactions of the ASME, 97:216–219, February 1975.
  • T. Kalmár-Nagy, G. Stépán, and F.C. Moon. Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations. Journal of Nonlinear Dynamics, 26:121–142, 2001.
  • J. Gradi´sek, E. Govekar, and I. Grabec. Chatter onset in non-regenerative cutting: A numerical study. Journal of Sound and Vibration, 242(5):829– 838, 2001.
  • E.W. Parker. Dynamic stability of a cantilever boring bar with machined flats under regenerative cutting conditions. Journal of Mechanical Engineering Sience, 12(2):104–115, February 1970.
  • G.M. Zhang and S.G. Kapoor. Dynamic modeling and analysis of the boring machining system. Journal of Engineering for Industry, Transactions of the ASME, 109(3):219–226, August 1987.
  • P.N. Rao, U.R.K. Rao, and J.S. Rao. Towards improwed design of boring bars—Part 1: Dynamic cutting force model with continuous system analysis for the boring bar. International Journal of Machine Tools and Manufacture, 28(1):33–44, 1988.
  • F. Kuster and P.E. Gygax. Cutting dynamics and stability of boring bars. CIRP Annals—Manufacturing Technology, 39(1):361–366, 1990.
  • S. Jayaram and M. Iyer. An analytical model for prediction of chatter stability in boring. SME technical paper, (MR00-202), Society of Manufacturing Engineers, 28:203–208, 2000.
  • I. Lazoglu, F. Atabey, and Y. Altintas. Dynamics of boring processes— Part III: Time domain modeling. International Journal of Machine Tools & Manufacture, 42:1567–1576, 2002.
  • M.K. Khraisheh, C. Pezeshki, and A.E. Bayoumi. Time series based analysis for primary chatter in metal cutting. Journal of Sound and Vibration, 180(1):67–87, 1995.
  • P-O. H. Sturesson, L. Håkansson, and I. Claesson. Identification of the statistical properties of the cutting tool vibration in a continuous turning operation—Correlation to structural properties. Mechanical Systems and Signal Processing, 11(3):459–489, 1997.
  • J. Gradi´sek, I. Grabec, S. Siegert, and R. Friedrich. Stochastic dynamics of metal cutting: Bifurcation phenomena in turning. Mechanical Systems and Signal Processing, 16(5):831–840, 2002.
  • E. Marui, S. Ema, and S. Kato. Chatter vibration of lathe tools—Part 1: General characteristics of chatter vibration. Journal of Engineering for Industry, Transactions of the ASME, 105(2):100–106, May 1983.
  • L. Andrén, L. Håkansson, A. Brandt, and I. Claesson. Identification of dynamic properties of boring bar vibrations in a continuous boring operation. Mechanical Systems & Signal Processing, 18(4):869–901, 2004.
There are 24 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Araştırma Articlessi
Authors

Yogeshwarsing Calleecharan This is me

Publication Date December 30, 2015
Published in Issue Year 2015 Volume: 3 Issue: 3

Cite

APA Calleecharan, Y. (2015). Spectral analysis and second-order cyclostationary analysis of the non-stationary stochastic motion of a boring bar on a lathe. Balkan Journal of Electrical and Computer Engineering, 3(3), 103-114.

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