Reliability Analysis for Rotor Rubbing

Yimin Zhang · Bangchun Wen · Andrew Y. T. Leung

28 citations0/0 files storedJournal of vibration and acoustics

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Probabilistic and Robust Engineering Design Vibration and Dynamic Analysis Bladed Disk Vibration Dynamics

Abstract

The dynamic equations of the Jeffcott rotor with imbalance are concerned. The reliability of rotor systems with rubbing is examined. A statistical fourth moment method is developed to determine the first four moments of the system response and the state function. The distribution function of the system state function is approximately determined by using the Edgeworth series technique. Its reliability is obtained. The effect on the reliability of the shaft stiffness, the external damping coefficient, the degree of imbalance and the stator stiffness is studied. Numerical results are also presented and discussed.

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References

1976Probabilistic Theory of Structural Dynamics 1966Some First-Passage Problems in Random Vibration 1970First-crossing probabilities of the linear oscillator 1998First passage of uncertain single degree-of-freedom nonlinear oscillators 1982On the reliability of the linear oscillator and systems of coupled oscillators 1976First passage time for the envelope of a randomly excited linear oscillator 1970First-Passage Time Problem 1988Reliability of Uncertain Linear and Nonlinear Systems

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