Torsional Vibration Control of a Shaft Through Active Constrained Layer Damping Treatments

Author:

Shen I. Y.1,Guo Weili2,Pao Y. C.3

Affiliation:

1. Department of Mechanical Engineering, University of Washington, Seattle, WA 98195-2600

2. ALMO Manifold & Tooling, Warren, MI 48089

3. Department of Engineering Mechanics, University of Nebraska-Lincoln, Lincoln, NE 68588-0347

Abstract

This paper proposes a hybrid damping design to control torsional vibration of a shaft with a circular cross section through use of actively constrained layer (ACL) damping treatments proposed by Baz (1993) and Shen (1993, 1994a). The ACL damping treatment consists of a piezoelectric constraining layer and a viscoelastic shear layer wrapping around the shaft in the form of a helix. In addition, the angular displacement of the shaft is fed back to regulate the helical motion of the piezoelectric constraining layer. The equation of motion of this design is derived, and its stability and controllability are discussed. Finally, numerical examples show that this ACL design can reduce torsional vibration of a shaft. A sensitivity analysis shows that ACL is most effective in suppressing those modes with significant torsional vibration response. Stability, in general, is not a critical factor in designing ACL systems, because the piezoelectric strain of the constraining layer at the threshold of instability is too large to occur.

Publisher

ASME International

Subject

General Engineering

Reference12 articles.

1. Agnes, G. S., and Napolitano, K., 1993, “Active Constrained Layer Viscoelastic Damping,” Proceedings 34th SDM Conf., pp. 3499–3506.

2. Baz, A., 1993, “Active Constrained Layer Damping,” Proceedings of Damping 93, San Francisco, CA., pp. IBB 1–23.

3. Baz A. , and RoJ., 1993, “Partial Treatment of Flexible Beams with Active Constrained Layer Damping,” Recent Developments in Stability, Vibration, and Control of Structural Systems, ASME AMD-Vol. 167, pp. 61–80.

4. Baz, A., and Ro, J., 1993b, “Vibration Control of Rotating Beams with Active Constrained Layer Damping,” First Workshop on Smart Structures, September 22–24, University of Texas, Arlington, TX.

5. Duclos, T. G., Coulter, J. P., and Miller, L. R., 1988, “Application for Smart Materials in the Field of Vibration Control,” ARO Smart Materials, Structures, and Mathematical Issues Workshop Proceedings, Virginia Polytechnic Institute and State University, Blacksburg, VA., September 15–16, pp. 132–146.

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