Singularity analysis of Jeffcott rotor-magnetic bearing with time delays

Xiu yan Xu; Wei hua Jiang

doi:10.1007/s11766-012-2752-8

Singularity analysis of Jeffcott rotor-magnetic bearing with time delays

Xiu yan Xu^*
, Wei hua Jiang

^*Corresponding author for this work

School of Mathematics

Heilongjiang University of Science and Technology

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	419-427
Number of pages	9
Journal	Applied Mathematics
Volume	27
Issue number	4
DOIs	https://doi.org/10.1007/s11766-012-2752-8
State	Published - Dec 2012

Keywords

Jeffcott rotor-magnetic bearing
normal form
singularity
time delay

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10.1007/s11766-012-2752-8

Cite this

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title = "Singularity analysis of Jeffcott rotor-magnetic bearing with time delays",

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.",

keywords = "Jeffcott rotor-magnetic bearing, normal form, singularity, time delay",

author = "Xu, \{Xiu yan\} and Jiang, \{Wei hua\}",

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doi = "10.1007/s11766-012-2752-8",

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AU - Xu, Xiu yan

AU - Jiang, Wei hua

PY - 2012/12

Y1 - 2012/12

N2 - 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.

AB - 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.

KW - Jeffcott rotor-magnetic bearing

KW - normal form

KW - singularity

KW - time delay

UR - https://www.scopus.com/pages/publications/84871063316

U2 - 10.1007/s11766-012-2752-8

DO - 10.1007/s11766-012-2752-8

M3 - 文章

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SN - 1005-1031

VL - 27

SP - 419

EP - 427

JO - Applied Mathematics

JF - Applied Mathematics

IS - 4

ER -

Singularity analysis of Jeffcott rotor-magnetic bearing with time delays

Abstract

Keywords

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