Transient Analysis of Speed-Varying Rotor with Uncertainty Based on Interval Approaches

The nonintrusive Chebyshev interval method is used to analyze the transient response of a rotor system. The main idea is to analyze the uncertainty in speed-varying rotor systems and reduce the error in the calculation. The hybrid analysis procedure, which combines the black-box modeling and overest...

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Bibliographic Details
Published in:Discrete dynamics in nature and society 2018-01, Vol.2018 (2018), p.1-10
Main Authors: Yang, Yongfeng, Fu, Chao, Gou, Wen-xuan, Wei, Tao
Format: Article
Language:English
Subjects:
Accuracy
Algorithms
Approximation
Chebyshev approximation
Computing time
Damping
Efficiency
Error analysis
Extreme values
Interval arithmetic
Mechanical systems
Mechanics
Methods
Parameter estimation
Parameter uncertainty
Random vibration
Researchers
Stiffness
Transient analysis
Uncertainty analysis
Variations
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Summary:The nonintrusive Chebyshev interval method is used to analyze the transient response of a rotor system. The main idea is to analyze the uncertainty in speed-varying rotor systems and reduce the error in the calculation. The hybrid analysis procedure, which combines the black-box modeling and overestimation controlling, is proposed via the Chebyshev approximation and searching the extreme values of the approximation function for the uncertain response. It can both increase accuracy and improve the computational efficiency of the proposed method. Effects of the uncertain parameters on response bounds and estimation errors of the system are investigated, e.g., supporting stiffness and damping. The accuracy and efficiency of the proposed method are verified via comparing with the scanning method. Overestimation effects caused by the interval arithmetic can be controlled, particularly the sensitive domains near the critical speed. It can provide guidance for general uncertain transient mechanical systems, particularly those that have severe fluctuations near resonances.
ISSN:1026-0226
1607-887X
DOI:10.1155/2018/5904724