Modeling and Control of Backlash in the Drive Mechanism of a Radially Rotating Compliant Beam

Author:

Chalhoub Nabil G.1,Zhang Xiaoying2

Affiliation:

1. Department of Mechanical Engineering, Wayne State University, Detroit, MI 48202

2. Consultant to Ford Motor Company

Abstract

The exclusion of the dynamic characteristics of indirect drives, from the controller design, has often led to a degraded performance in precision servomechanisms. In this study, the adverse effects of backlash, in the drive mechanism of a radially rotating flexible beam, are examined. The topological variations of the structure are handled by latent constraint equations which can be rendered active through the monitoring of the contact torque as well as kinematic indicators. A “backlash controller” is introduced to replace the original controller of the beam only during the period of gear disengagement. The experimental and numerical results provide a qualitative validation of the backlash model. The relationships with which the backlash in gearing would interact with both the servo-loop controller and the structural flexibility of the system are investigated. In addition, the digital simulations have proven that the “backlash controller” provides a viable approach in reducing the adverse effects of backlash on the overall system response.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Reference10 articles.

1. Brach, R. M., 1991, Mechanical Impact Dynamics: Rigid Body Collisions, Wiley, New York.

2. Chalhoub N. G. , and ZhangX., 1993, “Reduction of the End Effector Sensitivity to the Structural Deflections of a Single Flexible Link: Theoretical and Experimental Results,” ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL, Vol. 115(4), pp. 658–666.

3. Chalhoub, N. G., and Zhang, X., 1994, “Modeling and Control of Backlash in the Indirect Drive Mechanism of a Single Flexible Beam,” 1994 ASME Winter Annual Meeting, DSC-Vol. 55-1, pp. 219–227.

4. D’azzo, J. J., and Houpis, C. H., 1988, Linear Control System Analysis and Design: Conventional and Modern, Third Edition, McGraw-Hill, New York.

5. El-Saeidy F. M. A. , 1991, “Effect of Tooth Backlash and Ball Bearing Deadband Clearance on Vibration Spectrum in Spur Gear Boxes,” J. Acoust. Soc. Am., Vol. 89(6), pp. 2766–2773.

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