Abstract: Gradual faults and abrupt faults of mechanical systems are
differentiated by variation patterns of state varibles. After
the reasons of abrupt faults are analyzed by nonlinear dynamics,
two methods establishing the mathematical models for abrupt
faults are presented. As an example, a cusp catastrophe model of
the vibration amplitudes of a Jeffcott rotor with nonlinear
stiffness and its parameter condition of the vibration state
catastrophe are obtained.
Key words: Fault
diagnosis Rotor Abrupt fault Catastrophic model
Manuscript received on
September 8, 1997; revised manuscript March 24, 1998
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