Free Vibration and Stability Analysis of Internally Damped Rotating Shafts With General Boundary Conditions

Author:

Melanson J.1,Zu J. W.1

Affiliation:

1. Department of Mechanical & Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 3G8

Abstract

Vibration analysis of an internally damped rotating shaft, modeled using Timoshenko beam theory, with general boundary conditions is performed analytically. The equations of motion including the effects of internal viscous and hysteretic damping are derived. Exact solutions for the complex natural frequencies and complex normal modes are provided for each of the six classical boundary conditions. Numerical simulations show the effect of the internal damping on the stability of the rotor system.

Publisher

ASME International

Subject

General Engineering

Reference13 articles.

1. Chen L.-W. , and KuD.-M., 1991, “Analysis of Whirl Speeds of Rotor-Bearing Systems with Internal Damping by C° Finite Elements,” Finite Elements in Analysis and Design, Vol. 9, pp. 169–176.

2. Crandall, S.H., 1980, “Physical Explanations of the Destabilizing Effect of Damping in Rotating Parts,” Rotordynamic Instability Problems in High Performance Turbomachinery, NASA, pp. 369–382, Dimentberg, F. M., 1961, Flexural Vibrations of Rotating Shafts, Butterworths, London, pp. 18–29.

3. Ehrich F. F. , 1964, “Shaft Whirl Induced by Rotor Internal Damping,” ASME Journal of Applied Mechanics, Vol. 31, pp. 279–282.

4. Gao J. M. , and ZhuX. M., 1990, “A New Rotor Dynamic Equations in Complex Form using Finite Element,” Journal of Northwestern Polytechnical University, Vol. 8, No. 4, pp. 567–571.

5. Gunter, E. J., 1972, “Rotor-Bearing Stability,” Proceedings of the First Turbo-machinery Symposium, pp. 119–141.

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