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Prediction method for steady-state response of local rubbing blade-rotor systems

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Abstract

Blade-rotor systems frequently encounter the problem of blade-to-case rubbing, which affects their safety and stability. Numerical simulation can be used to predict the steady-state response of these systems. However, such simulation is frequently computationally expensive because of the high dimensions of the dynamic model of a blade-rotor system. To overcome this problem, a new method that combines the receptance-based dimension-reduction approach with the incremental harmonic balance (IHB) method is presented in this study. First, a dynamic model of a blade-rotor system is developed using the finite element method, and the number of dimensions of the model is reduced by the receptance method. Subsequently, the steady-state response is obtained by the improved IHB method to conveniently manage the large number of super-harmonic components of the local rubbing system. Finally, the precision and efficiency of the proposed method is verified by comparing its results with those obtained by the Newmark-β method. The proposed method is found to be efficient in analyzing local rubbing blade-rotor systems with high dimensions, local nonlinearities, and rich super-harmonics.

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Correspondence to Hongliang Yao.

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Recommended by Editor Yeon June Kang

Qian Zhao is currently a doctoral candidate at Northeastern University, China. She obtained her B.S. in Mechanical Manufacturing from Hebei Normal University, China in 2011, and her M.S. degree in Mechanical Engineering from Northeastern University, China in 2013. Her research interests include rotor dynamics and nonlinear vibration.

Hongliang Yao is currently an associate professor at Northeastern University, China. He obtained his B.S. degree in 2000 from the Hebei Institute of Technology, China, and his M.S. and Ph.D. degrees in 2003 and 2006, respectively, from Northeastern University, China. His research interests include rotor dynamics and rotating machinery fault diagnosis.

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Zhao, Q., Yao, H., Xu, Q. et al. Prediction method for steady-state response of local rubbing blade-rotor systems. J Mech Sci Technol 29, 1537–1545 (2015). https://doi.org/10.1007/s12206-015-0326-4

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  • DOI: https://doi.org/10.1007/s12206-015-0326-4

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