2001Ha'erbin gongye daxue xuebaoRequires access

Stability of rotor system with nonlinear vibration

Chao Hu

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Abstract

Presents the investigation into the stability of rotor system directly related to the safety and reliability of turbine sets using the mathematical model of Muszynska's rotor with oil film, and following the theory of short bearings, and the analysis of the stability of zero solution of differential equation of the rotor whirl and the stability of limit cycle of self excited vibration using a linearized method under the conditions for stable motion obtained by following the theory of nonlinear vibration, and the reduced equations of three dimensional phase spaces first proposed in terms of polar coordinates and high lights the effect of rotational speed, lubricant viscosity and bearing structure on the stability of motion of rotor system.

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What this paper is about

Presents the investigation into the stability of rotor system directly related to the safety and reliability of turbine sets using the mathematical model of Muszynska's rotor with oil film, and following the theory of short bearings, and the analysis of the stability of zero solution of differential equation of the rotor whirl and the stability of limit cycle of self excited vibration using a linearized method under the conditions for stable motion obtained by following the theory of nonlinear vibration, and the reduced equations of three dimensional phase spaces first proposed in terms of polar coordinates and high lights the effect of rotational speed, lubricant viscosity and bearing structure on the stability of motion of rotor system.

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Available abstract

Presents the investigation into the stability of rotor system directly related to the safety and reliability of turbine sets using the mathematical model of Muszynska's rotor with oil film, and following the theory of short bearings, and the analysis of the stability of zero solution of differential equation of the rotor whirl and the stability of limit cycle of self excited vibration using a linearized method under the conditions for stable motion obtained by following the theory of nonlinear vibration, and the reduced equations of three dimensional phase spaces first proposed in terms of polar coordinates and high lights the effect of rotational speed, lubricant viscosity and bearing structure on the stability of motion of rotor system.

Key concepts: Rotor (electric), Vibration, Control theory (sociology), Nonlinear system, Limit cycle, Bearing (navigation), Helicopter rotor, Turbine

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