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Active Vibration Control of Axially Moving Continua

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 13))

Abstract

Axially moving continua are basic elements in such diverse mechanical systems as computer tape drives, paper tapes, band saws, power transmission chains and belts, aerial cable tramways, textile and fiberglass fibers, pipes conveying fluids, and oil lines (Mote, 1972). Vibration of axially moving continua limits their utility in many applications, and particularly high speed, precision systems. Flutter of a computer tape causes track misregistration, poor resolution in signals, or even loss of data. Excessive vibration of a band saw results in poor cutting accuracy and raw material waste. Oscillation of a drive belt superimposes pulley oscillation onto its nominal speed, often rendering the drive unsatisfactory in a precision machine. In nearly every instance, vibration leads to operational problems.

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References

  • Balas, M.J., 1978, “Active Control of Flexible Systems,” Journal of Optimization Theory and Applications, Vol. 25, No. 3, July, pp. 415–436.

    Google Scholar 

  • Banks, S.P., 1983, State-space and Frequency-domain Methods in the Control of Distributed Parameter Systems, Peter Peregrinus Ltd., Loden

    MATH  Google Scholar 

  • Butkovskiy, A.G., 1983, Structural Theory of Distributed Systems, Halsted Press, John Wiley, and Sons, New York.

    Google Scholar 

  • Chen, C., 1984, Linear System Theory and Design, Holt, Rinehart and Winston, New York.

    Google Scholar 

  • Coddington, E.A., and Levinson, N., 1955, Theory of Ordinary Differential Equations, McGraw-Hill, New York.

    MATH  Google Scholar 

  • Curtain, R. and Pritchard, A., 1978, Infinite Dimensional Linear System Theory, Springer-Verlag, Berlin.

    Book  Google Scholar 

  • Dolecki, S. and Russell, D.L., 1977, “A General Theory of Observation and Control,” SIAM Journal on Control, Vol. 15, pp. 185–277.

    Article  MathSciNet  MATH  Google Scholar 

  • Gibson, J.S., 1980, “A Note on Stabilization of Infinite Dimensional Linear Oscillators by Compact Linear Feedback,” SIAM Journal of Control and Optimization, Vol. 18, No. 3, May, pp. 311–316.

    Google Scholar 

  • Hughes, P.C. and Skelton, R.E., 1979, “Stability, Controllability and Observability of Linear Matrix-Second-Order Systems,” JACC Proceedings, Denver, pp. 56–62. Also in ASME Journal of Applied Mechanics [Vol. 47, June 1980, pp. 415–420].

    Google Scholar 

  • Jai, A. and Pritchard, A., 1987, “Sensors and Actuators in Distributed Systems,” International Journal of Control, Vol. 46, No. 4, pp. 1139–1153.

    Article  MathSciNet  MATH  Google Scholar 

  • Juang, J. and Balas, M., 1978, “Dynamics and Control of Large Spinning Spacecraft,” AIAA/AAS Astrodynamics Conference, Palo Alto, August. Also in Journal of Astronautical Sciences [Vol. 28, No. 1, 1980, pp. 31–48].

    Google Scholar 

  • Meirovitch, L., and Öz, H., 1980, “Modal-Space Control of Distributed Gyroscopic Systems,” Journal of Guidance and Control, Vol. 3, No. 2, March-April, pp. 140–150.

    Google Scholar 

  • Moler, C., and Van Loan, C., 1978, “Nineteen Dubious Ways to Compute the Exponential of a Matrix,” SIAM Review, Vol. 20, No. 4, October, pp. 801–836.

    Google Scholar 

  • Mote, C.D., Jr., 1965, “A Study of Bandsaw Vibrations,” J. Franklin Inst., Vol. 279, No. 6, pp. 329–346.

    Article  Google Scholar 

  • Mote, C.D., Jr., 1972, “Dynamic Stability of Axially Moving Materials,” Shock and Vibration Digest, Vol. 4, No. 4, April, pp. 2–11.

    Google Scholar 

  • Mote, C.D., Jr., Schajer, G.S., and Wu, W.Z., 1982, “Band Saw and Circular Saw Vibration and Stability,” Shock and Vibration Digest, Vol. 14, No. 2, February, pp. 1925.

    Google Scholar 

  • Paidoussis, M.P., 1987, “Flow-Induced instabilities of Cylindrical Structures,” Applied Mechanics Review, Vol. 40, No. 2, pp. 163–175.

    Article  ADS  Google Scholar 

  • Sakawa, Y., 1974, “Controllability for Partial Differential Equations of Parabolic Type,” SIAM Journal on Control, Vol. 12, No. 3, August, pp. 389–400.

    Google Scholar 

  • Skutch, R., 1897, “Uber die Bewegung Eines Gespannten Fadens, Weicher Gezwungun ist, Durch Zwei Feste Punkte, mit Einer Constanten Geschwindigkeit zu gehen, und Zwischen denselben in Transversal Schwingungen von gerlinger Amplitude Versetzt Wird,” Annalen der Physik Chemie, Vol. 61, pp. 190–195.

    Article  ADS  Google Scholar 

  • Tan, C.A., Yang, B., and Mote, C.D., Jr., 1990, “On the Vibration of a Translating String Coupled to Hydrodynamic Bearings,” ASME Journal of Vibration and Acoustics, Vol. 112, July, pp. 337–345.

    Google Scholar 

  • Tan, C.A., Yang, B., and Mote, C.D., Jr., 1991, “Dynamic Response of an Axially Moving Beam Coupled to Hydrodynamic Bearings,” submitted to ASME Journal of Vibration and Acoustics.

    Google Scholar 

  • Ulsoy, A.G., and Mote, C.D., Jr., 1982, “Vibration of Wide Band Saw Blades,” ASME J. Eng. Indus., Vol. 104, No. 1, pp. 71–78.

    Article  Google Scholar 

  • Ulsoy, A.G., 1984, “Vibration Control in Rotating or Translating Elastic Systems,” ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 106, No. 1, March, pp. 6–14.

    Google Scholar 

  • Wang, K.W. and Mote, C.D., Jr., 1986, “Vibration Coupling Analysis of Band/Wheel Mechanical Systems,” Journal of Sound and Vibration, Vol. 109, No. 2, pp. 237–258.

    Article  ADS  Google Scholar 

  • Wickert, J.A., and Mote, C.D., Jr., 1988, “Current Research on the Vibration and Stability of Axially Moving Materials,” Shock and Vibration Digest, Vol. 20, No. 5, May, pp. 3–13.

    Google Scholar 

  • Wickert, J.A., and Mote, C.D., Jr., 1989, “On the Energetics of Axially Moving Continua,” J. Acoust. Soc. Amer., Vol. 85, No. 3, pp. 1365–1368.

    Article  ADS  Google Scholar 

  • Wickert, J.A., and Mote, C.D., Jr., 1990, “Classical Vibration Analysis of Axially Moving Continua,” ASME Journal of Applied Mechanics, Vol. 57, September, pp. 738744.

    Google Scholar 

  • Yang, B. 1989, “Active Vibration Control of Axially Moving Materials,” Ph.D. Dissertation, University of California, Berkeley, California, April.

    Google Scholar 

  • Yang, B., and Mote, C.D., Jr., 1990, “On Time Delay in Noncolocated Control of Flexible Mechanical Systems,” Proceedings of the 1990 ASME Winter Annual Meeting, Dallas, Texas, November 25–30.

    Google Scholar 

  • Yang, B., and Mote, C.D., Jr., 1991a, “Controllability and Observability of Distributed Gyroscopic Systems,” ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 113, No. 1, pp. 11–17.

    MATH  Google Scholar 

  • Yang, B., and Mote, C.D., Jr., 199 lb, “Frequency-Domain Vibration Control of Distributed Gyroscopic Systems,” ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 113, No. 1, pp. 18–25.

    Google Scholar 

  • Yang, B., and Mote, C.D., Jr., 1991c, “Active Vibration Control of the Axially Moving String in the s Domain,” ASME Journal of Applied Mechanics, Vol. 58, No. 1, March.

    Google Scholar 

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© 1992 Springer Science+Business Media Dordrecht

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Yang, B., Mote, C.D. (1992). Active Vibration Control of Axially Moving Continua. In: Tzou, H.S., Anderson, G.L. (eds) Intelligent Structural Systems. Solid Mechanics and Its Applications, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1903-2_10

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  • DOI: https://doi.org/10.1007/978-94-017-1903-2_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4192-0

  • Online ISBN: 978-94-017-1903-2

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