Nonparametric modeling on random uncertainty and reliability analysis of a dual-span rotor

Chunbiao Gan · Yuehua Wang · Shixi Yang

18 citations0/0 files storedJournal of Zhejiang University. Science A

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Probabilistic and Robust Engineering Design Reliability and Maintenance Optimization Vibration and Dynamic Analysis

Abstract

A general procedure is proposed to estimate the reliability of a dual-span rotor based on nonparametric modeling on random uncertainty. First, the vibration equation of the rotor with random uncertainty is constructed based on random matrices through the nonparametric modeling approach. Second, the reliability estimation is then performed by response spectral analysis and the moment method. By making full use of the advantages of nonparametric method and response spectral analysis, not only is the requirement on probability density function (PDF) avoided, but also the first and second moments are no longer needed to be estimated or assumed for calculating the reliability. Finally, the statistical index Z *-value based on short-term predictability is introduced to investigate the influence of random uncertainties on the reliability of the dual-span rotor. Illustrating examples show that the results obtained from the proposed procedure are consistent with those from short-term predictability, such that dangerous ranges can be well identified during the start-up process of the rotor.

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References

2000A nonparametric model of random uncertainties for reduced matrix models in structural dynamics 2004Dynamic response and reliability analysis of structures with uncertain parameters 1999Reliability of uncertain dynamical systems with multiple design points 1998First passage of uncertain single degree-of-freedom nonlinear oscillators 2013Nonparametric modeling and vibration analysis of uncertain Jeffcott rotor with disc offset 2004On the ensemble crossing rate approach to time variant reliability analysis of uncertain structures 2003RELIABILITY SENSITIVITY FOR ROTOR–STATOR SYSTEMS WITH RUBBING

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