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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Balas, M.J., 1978, “Active Control of Flexible Systems,” Journal of Optimization Theory and Applications, Vol. 25, No. 3, July, pp. 415–436.
Banks, S.P., 1983, State-space and Frequency-domain Methods in the Control of Distributed Parameter Systems, Peter Peregrinus Ltd., Loden
Butkovskiy, A.G., 1983, Structural Theory of Distributed Systems, Halsted Press, John Wiley, and Sons, New York.
Chen, C., 1984, Linear System Theory and Design, Holt, Rinehart and Winston, New York.
Coddington, E.A., and Levinson, N., 1955, Theory of Ordinary Differential Equations, McGraw-Hill, New York.
Curtain, R. and Pritchard, A., 1978, Infinite Dimensional Linear System Theory, Springer-Verlag, Berlin.
Dolecki, S. and Russell, D.L., 1977, “A General Theory of Observation and Control,” SIAM Journal on Control, Vol. 15, pp. 185–277.
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.
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].
Jai, A. and Pritchard, A., 1987, “Sensors and Actuators in Distributed Systems,” International Journal of Control, Vol. 46, No. 4, pp. 1139–1153.
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].
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.
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.
Mote, C.D., Jr., 1965, “A Study of Bandsaw Vibrations,” J. Franklin Inst., Vol. 279, No. 6, pp. 329–346.
Mote, C.D., Jr., 1972, “Dynamic Stability of Axially Moving Materials,” Shock and Vibration Digest, Vol. 4, No. 4, April, pp. 2–11.
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.
Paidoussis, M.P., 1987, “Flow-Induced instabilities of Cylindrical Structures,” Applied Mechanics Review, Vol. 40, No. 2, pp. 163–175.
Sakawa, Y., 1974, “Controllability for Partial Differential Equations of Parabolic Type,” SIAM Journal on Control, Vol. 12, No. 3, August, pp. 389–400.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Yang, B. 1989, “Active Vibration Control of Axially Moving Materials,” Ph.D. Dissertation, University of California, Berkeley, California, April.
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.
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.
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.
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.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
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
Download citation
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
eBook Packages: Springer Book Archive