Direct Hybrid Adaptive Control of Gear Pair Vibration

[+] Author and Article Information
Yuan H. Guan, W. Steve Shepard

University of Alabama, Department of Mechanical Engineering, 290 Hardaway Hall, Box 870276, Tuscaloosa, AL 35487

Teik C. Lim

University of Cincinnati, Mechanical, Industrial and Nuclear Engineering, 624 Rhodes Hall, P.O. Box 210072, Cincinnati, OH 45221

J. Dyn. Sys., Meas., Control 125(4), 585-594 (Jan 29, 2004) (10 pages) doi:10.1115/1.1636771 History: Received July 26, 2002; Revised April 21, 2003; Online January 29, 2004
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.


Rebbechi, B., Howard, C., and Hansen, C., 1999, “Active Control of Gearbox Vibration,” Proceedings of the Active Control of Sound and Vibration Conference, Fort Lauderdale, pp. 295–304.
Sutton,  T. J., and Elliott,  S. J., 1995, “Active Attenuation of Periodic Vibration in Nonlinear Systems Using an Adaptive Harmonic Controller,” ASME J. Vibr. Acoust., 117(3), pp. 355–362.
Chen, M. H., 1999, “Combining the Active Control of Gear Vibration with Condition Monitoring,” Ph.D. dissertation, University of Southampton.
Chen,  M. H., and Brennan,  M. J., 2000, “Active Control of Gear Vibration Using Specially Configured Sensors and Actuators,” Smart Mater. Struct., 9(3), pp. 342–350.
Sievers,  L. A., and von Flotow,  A. H., 1992, “Comparison and Extensions of Control Methods for Narrow-band Disturbance Rejection,” IEEE Trans. Signal Process., 40(10), pp. 2377–2391.
Scribner,  K. B., Sievers,  L. A., and von Flotow,  A. H., 1993, “Active Narrow-band Vibration Isolation of Machinery Noise from Resonant Substructures,” J. Sound Vib., 167(1), pp. 17–40.
Kuo,  S. M., and Morgan,  D. R., 1999, “Active Noise Control: A Tutorial Review,” Proc. Inst. Electr. Eng., 87(6), pp. 943–973.
Connolly, A. J., Green, M., Chicharo, J. F. and Bitmead, R. R., 1995, “Design of LQG & H infinity Controllers for Use in Active Vibration Control and Narrow Band Disturbance Rejection,” Proceedings of the IEEE Conference on Decision and Control, 3 , pp. 2982–2987.
Astrom, K. J., and Wittenmark, B., 1995, Adaptive Control, 2nd Ed., Addison-Wesley Publishing Company, Inc., New York.
Baz,  A., and Ro,  J., 1991, “Active Control of Flow-induced Vibrations of a Flexible Cylinder Using Direct Velocity Feedback,” J. Sound Vib., 146(1), pp. 33–45.
Sunwoo,  M., Cheok,  K. C., and Huang,  N. J., 1991, “Model Reference Adaptive Control for Vehicle Active Suspension Systems,” IEEE Trans. on Industrial Electronics, 38(3), pp. 217–222.
Ahmed, J., 2000, “Adaptive Control of Multibody Systems with Unknown Mass Distribution,” Ph.D. dissertation, University of Michigan.
Tuplin,  W. A., 1950, “Gear Tooth Stresses at High Speed,” Proc. Inst. Mech. Eng., 16, pp. 162–167.
Ozguven,  H. N., and Houser,  D. R., 1988, “Mathematical Models Used in Gear Dynamics-A Review,” J. Sound Vib., 121(3), pp. 383–411.
Ozguven,  H. N., and Houser,  D. R., 1988, “Dynamic Analysis of High Speed Gears by Using Loaded Static Transmission Error,” J. Sound Vib., 125(1), pp. 71–83.
Cricenti, F., Lang, C. H. and Paradiso, D., 2000, “Development of an Analytical Model for the Static and Dynamic Transmission Error Calculation: Validation on a Single Vehicle Gear Vibration Test Bench,” Proceedings of the ASME, 8th Inter. Power Transmission & Gearing Conference, Baltimore, Paper number DETC2000/PTG-14426.
Dosch, J. J., Lesieutre, G. A., Koopmann, G. H. and Davis, C. L., 1995, “Inertial Piezoceramic Actuators for Smart Structures,” Proceedings of SPIE–The Inter. Soc. for Optical Eng., 2447 , pp. 14–25.
Ioannou, P. A., and Sun, J., 1996, Robust Adaptive Control, PTR Prentice-Hall, Upper Saddle River, NJ.
Slotine, J.-J. E., 1991, Applied Nonlinear Control, Prentice Hall, Englewood Cliffs, NJ.
Hagan, M. T., Demuth, H. B. and Beale, M., 1995, Neural Network Design, PWS Publishing Company, Boston, MA.


Grahic Jump Location
Convergence rates of the closed-loop system with control activated at time t=0.01 s. (——— ), λ=2.31; -⋅-, λ=0.8;⋅⋅⋅⋅⋅⋅⋅⋅ , λ=4.0)
Grahic Jump Location
Time history response of the closed-loop system containing 5% frequency estimation error with control activated at time t=0.01 s: (a) displacement, (b) velocity
Grahic Jump Location
Time trajectory of the estimated feed-forward gain Ψ in the presence of 5% frequency estimation error with control activated at time t=0.01 s. (– – –, i=1;⋅⋅⋅⋅⋅⋅ , i=2;——— , i=3; —, i=4; ⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅, i=5)
Grahic Jump Location
Predicted gear vibration response spectra with no control (⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅), and with control using the proposed (———) and filtered-x LMS (– – –) algorithms
Grahic Jump Location
Comparison of the uncontrolled (⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅) and controlled (–) gear vibration response spectra due to the first four harmonics of transmission error excitation
Grahic Jump Location
A torsional dynamic model of the spur gear pair
Grahic Jump Location
Closed-loop system with both state feedback gain d and feed-forward gain Ψ
Grahic Jump Location
Maximum eigenvalue of matrix P divided by q
Grahic Jump Location
Time trajectory of the closed-loop system with control activated at time t=0.01 s: (a) displacement, (b) velocity, and (c) control force
Grahic Jump Location
Time trajectory of the estimated state feedback gain d and first element of Ψ with control activated at time t=0.01 sec. (a) ——— , displacement feedback gain d(1); – – –, first element of Ψ ; (b) velocity feedback gain d(2)
Grahic Jump Location
Time trajectory of the second to last elements of the estimated feed-forward gain Ψ with control activated at time t=0.01 sec. (⋅⋅⋅⋅⋅⋅ , i=2;——— , i=3;── , i=4; ⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅, i=5)




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In