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.

Issue Section:
Technical Papers
Keywords:
rotors, vibration control, mechanical stability, transient response, linear differential equations
Topics:
Rotors, Transients (Dynamics), Vibration
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Copyright © 2001
 by ASME
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