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CHATTER STABILITY ANALYSIS APPROACH FOR STABILITY ANALYSIS OF ROTATING MACHINERY VIBRATIONS

Year 2017, Volume: 3 Issue: 1, 1 - 17, 30.06.2017

Abstract

Vibration caused by mass
imbalance is an important factor limiting the performance and fatigue life of
the rotating system. Therefore, a balancing procedure is necessary for rotating
systems. Spindle is the main mechanical component in machining centers. Its
performance has a direct impact on the machining productivity and surface
quality of the workpiece. In this paper, regenerative chatter analysis approach
is used for vibrations of rigid rotors with a massless elastic shaft. This
approach is firstly applied in literature by this study. In this study,
Stability Lobe Diagram (SLD) is plotted the boundary between stable and
unstable rotations as a function of spindle speed and imbalance mass. SLD
process can be easily applied between spindle length,
balancing mass amount, location of balancing mass on rotor etc. variable
parameters and spindle speeds for stable
rotating system.

References

  • [1] Zhou, S., and Shi, J., Active Balancing and Vibration Control of Rotating Machinery: A Survey, The Shock and Vibration Digest, July 2001, Vol. 33, No. 4, 361-371.
  • [2] Zhou, S., and Shi, J., Supervisory adaptive balancing of rigid rotors during acceleration, Transactions of NAMRI/SME XXVII, 2000, 425- 430.
  • [3] Wowk, V., 1995, Machinery Vibration: Balancing, McGraw-Hill, New York.
  • [4] Gosiewski, Z., Automatic balancing of flexible rotors, part 1: theoretical background, Journal of Sound and Vibration, 1985, 100, 551-567.
  • [5] Gosiewski, Z., Automatic balancing of flexible rotors, part 2: synthesis of system, Journal of Sound and Vibration, 1987, 114, 103-119.
  • [6] Van De Vegte, J. and Lake, R. T., Balancing of rotating systems during operation, Journal of Sound and Vibration, 1978, 57, 225-235.
  • [7] Van De Vegte, J., Balancing of flexible rotors during operation, Journal of Mechanical Engineering Science, 1981, 23, 257-261.
  • [8] Knospe, C. R., Hope, R. W., Fedigan, S. J. and Williams, R. D., Experiments in the control of imbalance response using magnetic bearings, Mechanics, 1995, 5, 385-400.
  • [9] Knospe, C. R., Hope, R. W., Tamer, S.M. and Fedigan, S. J., Robustness of adaptive imbalance control of rotors with magnetic bearings, Journal of Vibration and Control, 1996, 2, 33-52.
  • [10] Herzog, R., Buhler, P., Gahler, C. and Larsonneur, R., Imbalance compensation using generalized notch filters in the multivariable feedback of magnetic bearings, IEEE Transactions on Control Systems Technology, 1996, 4,580-586.
  • [11] Lum, K. Y., Coppola, V. T. and Bernstein, D. S., Adaptive autocentering control for an active magnetic bearing supporting a rotor with unknown mass imbalance, IEEE Transactions on Control Systems Technology, 1996, 4, 587-597.
  • [12] Li, C-J., Ulsoy, A.G. and Endres, W.J., The effect of flexible-tool rotation on regenerative ınstability in machining, Journal of Manufacturing Science and Engineering, 2003, 125, 39-47.
  • [13] Turkes, E., Orak, S., Neseli, S., Yaldiz, S., Linear analysis of chatter vibration and stability for orthogonal cutting in turning, Int. Journal of Refractory Metals and Hard Materials, 2011, 29, 163–169. [14] Reinig, K. D., and Desrochers, A. A., Disturbance Accommodating Controllers for Rotating Mechanical Systems, ASME J. Dyn. Syst., Meas.,Control, 1986, 108, Mar., 24–31.
  • [15] Zhu, W., Castelazo, I., and Nelson, H. D., An Active Optimal Control Strategy of Rotor Vibrations Using External Forces, ASME Design Technical Conference-12th Biennial Conference on Mechanical Vibration and Noise Montreal, 1989, Que, Can 19890917-19890921.
  • [16] Luenberger, D. G., Observers for multivariable systems, IEEE Trans. Autom. Control, 1966, AC-11, Apr., 190–197.
  • [17] Knospe, C. R., Tamer, S. M., and Fittro, R., Rotor Synchronous Response Control: Approaches for Addressing Speed Dependence, J. Vib. Control, 1997, 3, No. 4, 435–458.
  • [18] Zhou, S., and Shi, J., The analytical unbalance response of jeffcott rotor during acceleration, ASME J. Manuf. Sci. Eng., 2001, 123, No. 2, 99–302.
  • [19] Zhou, S., and Shi, J., Imbalance estimation for speed-varying rigid rotors using time-varying observer, Journal of Dynamic Systems, Measurement, and Control, 2001, 123, 637-644.
  • [20] Merritt, H. E., Theory of self-excited machine-tool chatter, ASME J. Eng. Ind., 1965, 87, 447–454.
  • [21] Landers, R.G., Ulsoy, A.G., Chatter analysis of machining systems with nonlinear force processes, ASME International Mechanical Engineering Congress and Exposition, 1996, Atlanta, Georgia, November 17-22, DSC Vol. 58, 183-190.
  • [22] Tobias, S., Fishwick, W., Theory of regenerative machine tool chatter, The Engineer, February, (1958).

CHATTER STABILITY ANALYSIS APPROACH FOR STABILITY ANALYSIS OF ROTATING MACHINERY VIBRATIONS

Year 2017, Volume: 3 Issue: 1, 1 - 17, 30.06.2017

Abstract



Vibration caused by mass imbalance is an
important factor limiting the performance and fatigue life of the rotating
system. Therefore, a balancing procedure is necessary for rotating systems. Spindle
is the main mechanical component in machining centers. Its performance has a
direct impact on the machining productivity and surface quality of the
workpiece. In this paper, regenerative chatter analysis approach is used for
vibrations of rigid rotors with a massless elastic shaft. This approach is
firstly applied in literature by this study. In this study, Stability Lobe
Diagram (SLD) is plotted the boundary between stable and unstable rotations as
a function of spindle speed and imbalance mass. SLD process can be easily
applied between spindle length, balancing mass
amount, location of balancing mass on rotor etc. variable parameters and
spindle speeds for stable
rotating system.    

References

  • [1] Zhou, S., and Shi, J., Active Balancing and Vibration Control of Rotating Machinery: A Survey, The Shock and Vibration Digest, July 2001, Vol. 33, No. 4, 361-371.
  • [2] Zhou, S., and Shi, J., Supervisory adaptive balancing of rigid rotors during acceleration, Transactions of NAMRI/SME XXVII, 2000, 425- 430.
  • [3] Wowk, V., 1995, Machinery Vibration: Balancing, McGraw-Hill, New York.
  • [4] Gosiewski, Z., Automatic balancing of flexible rotors, part 1: theoretical background, Journal of Sound and Vibration, 1985, 100, 551-567.
  • [5] Gosiewski, Z., Automatic balancing of flexible rotors, part 2: synthesis of system, Journal of Sound and Vibration, 1987, 114, 103-119.
  • [6] Van De Vegte, J. and Lake, R. T., Balancing of rotating systems during operation, Journal of Sound and Vibration, 1978, 57, 225-235.
  • [7] Van De Vegte, J., Balancing of flexible rotors during operation, Journal of Mechanical Engineering Science, 1981, 23, 257-261.
  • [8] Knospe, C. R., Hope, R. W., Fedigan, S. J. and Williams, R. D., Experiments in the control of imbalance response using magnetic bearings, Mechanics, 1995, 5, 385-400.
  • [9] Knospe, C. R., Hope, R. W., Tamer, S.M. and Fedigan, S. J., Robustness of adaptive imbalance control of rotors with magnetic bearings, Journal of Vibration and Control, 1996, 2, 33-52.
  • [10] Herzog, R., Buhler, P., Gahler, C. and Larsonneur, R., Imbalance compensation using generalized notch filters in the multivariable feedback of magnetic bearings, IEEE Transactions on Control Systems Technology, 1996, 4,580-586.
  • [11] Lum, K. Y., Coppola, V. T. and Bernstein, D. S., Adaptive autocentering control for an active magnetic bearing supporting a rotor with unknown mass imbalance, IEEE Transactions on Control Systems Technology, 1996, 4, 587-597.
  • [12] Li, C-J., Ulsoy, A.G. and Endres, W.J., The effect of flexible-tool rotation on regenerative ınstability in machining, Journal of Manufacturing Science and Engineering, 2003, 125, 39-47.
  • [13] Turkes, E., Orak, S., Neseli, S., Yaldiz, S., Linear analysis of chatter vibration and stability for orthogonal cutting in turning, Int. Journal of Refractory Metals and Hard Materials, 2011, 29, 163–169. [14] Reinig, K. D., and Desrochers, A. A., Disturbance Accommodating Controllers for Rotating Mechanical Systems, ASME J. Dyn. Syst., Meas.,Control, 1986, 108, Mar., 24–31.
  • [15] Zhu, W., Castelazo, I., and Nelson, H. D., An Active Optimal Control Strategy of Rotor Vibrations Using External Forces, ASME Design Technical Conference-12th Biennial Conference on Mechanical Vibration and Noise Montreal, 1989, Que, Can 19890917-19890921.
  • [16] Luenberger, D. G., Observers for multivariable systems, IEEE Trans. Autom. Control, 1966, AC-11, Apr., 190–197.
  • [17] Knospe, C. R., Tamer, S. M., and Fittro, R., Rotor Synchronous Response Control: Approaches for Addressing Speed Dependence, J. Vib. Control, 1997, 3, No. 4, 435–458.
  • [18] Zhou, S., and Shi, J., The analytical unbalance response of jeffcott rotor during acceleration, ASME J. Manuf. Sci. Eng., 2001, 123, No. 2, 99–302.
  • [19] Zhou, S., and Shi, J., Imbalance estimation for speed-varying rigid rotors using time-varying observer, Journal of Dynamic Systems, Measurement, and Control, 2001, 123, 637-644.
  • [20] Merritt, H. E., Theory of self-excited machine-tool chatter, ASME J. Eng. Ind., 1965, 87, 447–454.
  • [21] Landers, R.G., Ulsoy, A.G., Chatter analysis of machining systems with nonlinear force processes, ASME International Mechanical Engineering Congress and Exposition, 1996, Atlanta, Georgia, November 17-22, DSC Vol. 58, 183-190.
  • [22] Tobias, S., Fishwick, W., Theory of regenerative machine tool chatter, The Engineer, February, (1958).
There are 21 citations in total.

Details

Journal Section Issue
Authors

Erol Türkeş

Publication Date June 30, 2017
Published in Issue Year 2017 Volume: 3 Issue: 1

Cite

APA Türkeş, E. (2017). CHATTER STABILITY ANALYSIS APPROACH FOR STABILITY ANALYSIS OF ROTATING MACHINERY VIBRATIONS. Kırklareli Üniversitesi Mühendislik Ve Fen Bilimleri Dergisi, 3(1), 1-17.