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Diffusion and Persistence of Rotor/Stator Synchronous Full Annular Rub Response Under Weak Random Perturbations

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Abstract

Purpose

In this paper, the diffusion and persistence of synchronous full annular rub in a rotor/stator system under weak random disturbances are studied.

Methods and Results

First, the model of the rotor/stator rubbing system and the global response characteristics of the corresponding deterministic system are introduced. Then the diffusion features of the synchronous full annular rub response under small random perturbation are quantified and visualized using the stochastic sensitivity function for the discrete-time systems. The shape of the density distribution of the rotor orbit under different noise intensities and rotation speeds are compared and discussed. Finally, using the confidence ellipsoid of the response, the mechanism of noise-induced escape from the synchronous full annular rub to a large amplitude response of dry friction backward whirl is revealed, and the persistence of full annular rub response responses under different conditions is discussed and analyzed in detail.

Conclusions

The results may be helpful in studying complex phenomena in random-disturbed rotor/stator rubbing systems.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (11502183, 11772243,11332008 and 11702213), and the Science Foundation of Shaanxi Province (2018JQ1081).

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Authors and Affiliations

  1. Research Center of Applied Mechanics, School of Mechano-Electronic Engineering, Xidian University, Xi’an, 710071, China

    Kongming Guo

  2. State Key Laboratory for Strength and Vibration, Xi’an Jiaotong University, Xi’an, 710049, China

    Jun Jiang

  3. Department of Mechanics, Xi’an University of Science and Technology, Xi’an, 710054, China

    Zigang Li

Authors
  1. Kongming Guo
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  2. Jun Jiang
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  3. Zigang Li
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Correspondence to Jun Jiang.

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Guo, K., Jiang, J. & Li, Z. Diffusion and Persistence of Rotor/Stator Synchronous Full Annular Rub Response Under Weak Random Perturbations. J. Vib. Eng. Technol. 8, 599–611 (2020). https://doi.org/10.1007/s42417-019-00163-8

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  • DOI: https://doi.org/10.1007/s42417-019-00163-8

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