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Singularity analysis of Jeffcott rotor-magnetic bearing with time delays

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Abstract

A Jeffcott rotor-magnetic bearing with time delays is investigated in this paper. Firstly, it is found that the characteristic equation of the system satisfies the conditions of the singularity. Secondly, the center manifold reduction and normal form are employed to study the bifurcation from simple zero and zero-purely imaginary singularities. The results of this paper will help to understand the influence of the time delays in feedback loop on the dynamics of rotor-magnetic bearing system.

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Authors and Affiliations

  1. Department of Mathematics, Heilongjiang Institute of Science and Technology, Harbin, 150027, China

    **u-yan Xu

  2. Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China

    Wei-hua Jiang

Authors
  1. **u-yan Xu
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  2. Wei-hua Jiang
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Correspondence to **u-yan Xu.

Additional information

Supported by the Heilongjiang Province Department of Education Science and Technology Project (11544048).

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Xu, Xy., Jiang, Wh. Singularity analysis of Jeffcott rotor-magnetic bearing with time delays. Appl. Math. J. Chin. Univ. 27, 419–427 (2012). https://doi.org/10.1007/s11766-012-2752-8

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  • DOI: https://doi.org/10.1007/s11766-012-2752-8

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