Since many rotor systems normally operate above their critical speeds, the problem of accelerating the machine through its critical speeds without excessive vibration draws increasing attention. This paper provides an analytical imbalance response of the Jeffcott rotor under constant acceleration. The response consists of three parts: transient vibration due to the initial condition of the rotor, “synchronous” vibration, and suddenly occurring vibration at the damped natural frequency. This solution provides physical insight to the vibration of the rotor during acceleration.
The Analytical Imbalance Response of Jeffcott Rotor During Acceleration
Contributed by the Manufacturing Engineering Division for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received April 1999; revised Feb. 2000. Associate Editor. R. Furness.
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Zhou, S., and Shi, J. (February 1, 2000). "The Analytical Imbalance Response of Jeffcott Rotor During Acceleration ." ASME. J. Manuf. Sci. Eng. May 2001; 123(2): 299–302. https://doi.org/10.1115/1.1352021
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