This paper introduces frequency response functions, analyzes the relationships between the frequency response functions and influence coefficients theoretically, and derives corresponding mathematical equations for high-speed rotor balancing. The relationships between the imbalance masses on the rotor and frequency response functions are also analyzed based upon the modal balancing method, and the equations related to the static and dynamic imbalance masses and the frequency response function are obtained. Experiments on a high-speed rotor balancing rig were performed to verify the theory, and the experimental data agree satisfactorily with the analytical solutions. The improvement on the traditional balancing method proposed in this paper will substantially reduce the number of rotor startups required during the balancing process of rotating machinery.

Beauchamp, K. G., 1973, Signal Processing Using Analog and Digital Techniques, Unwin Hyman, London, United Kingdom.
Goodwin, M. J., 1989, Dynamics of Rotor-Bearing Systems, Unwin Hyman, London, United Kingdom.
Larsson, L. O., 1976, “On the Determination of the Influence Coefficients in Rotor Balancing, Using Linear Regression Analysis,” Proc. IMechE Conf. Vibrations in Rotating Machinery, Cambridge, United Kingdom.
R. M.
, and
W. D.
, “
A Linear Programming Approach for Balancing Flexible Rotors
ASME Journal of Engineering for Industry
, Vol.
, pp.
Marple, S. L., 1987, Digital Spectral Analysis With Applications, Prentice-Hall, Inc., Englewood Cliffs, NJ.
Newland, D. E., 1975, An Introduction to Random Vibrations and Spectral Analysis, Longman, London-New York.
Rao, J. S., 1983, Rotor Dynamics, Wiley Eastern, New Delhi.
This content is only available via PDF.
You do not currently have access to this content.