Active vibration control of a gear pair using a direct hybrid adaptive control method

Yuanhong Guan; Teik C. Lim; W. Steve Shepard

doi:10.1117/12.475233

10 July 2002 Active vibration control of a gear pair using a direct hybrid adaptive control method

Yuanhong Guan, Teik C. Lim, W. Steve Shepard

Proceedings Volume 4693, Smart Structures and Materials 2002: Modeling, Signal Processing, and Control; (2002) https://doi.org/10.1117/12.475233
Event: SPIE's 9th Annual International Symposium on Smart Structures and Materials, 2002, San Diego, California, United States

Abstract

A direct hybrid adaptive control method based on the Lyapunov-like stability theorem is proposed for performing active vibration control of a gear pair system being subjected to multiple harmonic disturbances. The analysis uses a reduced single-degree-of-freedom definite gear pair representation of the elastic mesh mode, which includes the effect of time-varying tooth stiffness. It is assumed that the resultant actuation force can be directly applied to the gear body along the tooth contact line-of-action employing specially configured inertial actuators for suppressing rotational vibration. The proposed controller simultaneously adapts both the feed-back and feed-forward gains, and only requires knowledge of the instantaneous gear rotational speed and number of gear teeth or equivalently the fundamental gear mesh frequency. The numerical results of this study show that the proposed controller is somewhat insensitive to estimation error at the fundamental gear mesh frequency and the resulting vibration control is better than those provided by the well-known adaptive notch filter and Filtered-X LMS algorithms. Furthermore, the dynamic optimization normalization enhancement is incorporated into the basic controller to optimize performance and improve robustness.

Citation Download Citation

Yuanhong Guan, Teik C. Lim, and W. Steve Shepard "Active vibration control of a gear pair using a direct hybrid adaptive control method", Proc. SPIE 4693, Smart Structures and Materials 2002: Modeling, Signal Processing, and Control, (10 July 2002); https://doi.org/10.1117/12.475233

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