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Bifurcation on synchronous full annular rub of rigid-rotor elastic-support system

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Abstract

An aero-engine rotor system is simplified as an unsymmetrical-rigid-rotor with nonlinear-elastic-support based on its characteristics. Governing equations of the rubbing system, obtained from the Lagrange equation, are solved by the averaging method to find the bifurcation equations. Then, according to the two-dimensional constraint bifurcation theory, transition sets and bifurcation diagrams of the system with and without rubbing are given to study the influence of system eccentricity and damping on the bifurcation behaviors, respectively. Finally, according to the Lyapunov stability theory, the stability region of the steady-state rubbing solution, the boundary of static bifurcation, and the Hopf bifurcation are determined to discuss the influence of system parameters on the evolution of system motion. The results may provide some references for the designer in aero rotor systems.

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Author information

Authors and Affiliations

  1. School of Astronautics, Harbin Institute of Technology, Harbin, 150001, P. R. China

    Hua-biao Zhang  (张华彪), Yu-shu Chen  (陈予恕) & Jun Li  (李 军)

Authors
  1. Hua-biao Zhang  (张华彪)
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  2. Yu-shu Chen  (陈予恕)
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  3. Jun Li  (李 军)
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Corresponding author

Correspondence to Yu-shu Chen  (陈予恕).

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Zhang, Hb., Chen, Ys. & Li, J. Bifurcation on synchronous full annular rub of rigid-rotor elastic-support system. Appl. Math. Mech.-Engl. Ed. 33, 865–880 (2012). https://doi.org/10.1007/s10483-012-1591-7

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  • DOI: https://doi.org/10.1007/s10483-012-1591-7

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Chinese Library Classification

2010 Mathematics Subject Classification

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