Background <p>The nonlinear vibration of rotor system caused by coupling misalignment is addressed.</p> Purpose <p>This paper aims to analyze the system dynamics model of a parallel misalignment-rub-impact combined rotor (PMRCR). Considering the combining effects of nonlinear oil-film force, rotor unbalance force, misaligned force and rub-impact force.</p> Methods <p>The 4-order Runge-Kutta method is used to numerically solve the differential equations of motion of the system,&#xa0;and obtain the vibration response of the&#xa0;rotor system.&#xa0;Further, the definition of P-mapping cross section and the calculation method to identify the unstable state of the rub-impact rotor are given.&#xa0;The&#xa0;maximum rub-impact force is defined to represent the intensity of impacts between rotor and stator, and the duty cycle is used to express the duration ratio of&#xa0;impacts in the rotor system.</p> Results and Conclusions <p>The results show that the PMRCR system exhibits rich dynamic behavior and bifurcation characteristics,&#xa0;and 2X frequency&#xa0;components are clearly observed in its spectrum components.&#xa0;The increase of misalignment directly changes the frequency component of the system, resulting in&#xa0;an increase in the range of periodic motion. Small misalignment can effectively inhibit the effect of oil-film force and improve the stability of the system. However,&#xa0;excessive misalignment will lead to a significant increase in the amplitude of the rotor. The rotor and stator will have a fierce rub-impact, which will cause the full&#xa0;contact of the rotor and threaten its stable operation. When the rotor system has misalignment fault, the smaller coupling stiffness is more beneficial to the stable&#xa0;operation of the system. The increase of stiffness has an effect on inhibiting the oil-film whirl. However, excessive stiffness will cause the system to suffer from&#xa0;intense rub-impact faults in the medium and low speed region. These findings are helpful to improve the theory and design of nonlinear analysis of rotor systems.</p>

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Nonlinear Dynamics Investigations of the Coupling Parallel Misalignment and Rub-Impact Combined Faults Rotor System

  • Ling-yun Zhang,
  • Zhong-gang Xiong,
  • Zhong Liu,
  • Bing Li,
  • Luan Li

摘要

Background

The nonlinear vibration of rotor system caused by coupling misalignment is addressed.

Purpose

This paper aims to analyze the system dynamics model of a parallel misalignment-rub-impact combined rotor (PMRCR). Considering the combining effects of nonlinear oil-film force, rotor unbalance force, misaligned force and rub-impact force.

Methods

The 4-order Runge-Kutta method is used to numerically solve the differential equations of motion of the system, and obtain the vibration response of the rotor system. Further, the definition of P-mapping cross section and the calculation method to identify the unstable state of the rub-impact rotor are given. The maximum rub-impact force is defined to represent the intensity of impacts between rotor and stator, and the duty cycle is used to express the duration ratio of impacts in the rotor system.

Results and Conclusions

The results show that the PMRCR system exhibits rich dynamic behavior and bifurcation characteristics, and 2X frequency components are clearly observed in its spectrum components. The increase of misalignment directly changes the frequency component of the system, resulting in an increase in the range of periodic motion. Small misalignment can effectively inhibit the effect of oil-film force and improve the stability of the system. However, excessive misalignment will lead to a significant increase in the amplitude of the rotor. The rotor and stator will have a fierce rub-impact, which will cause the full contact of the rotor and threaten its stable operation. When the rotor system has misalignment fault, the smaller coupling stiffness is more beneficial to the stable operation of the system. The increase of stiffness has an effect on inhibiting the oil-film whirl. However, excessive stiffness will cause the system to suffer from intense rub-impact faults in the medium and low speed region. These findings are helpful to improve the theory and design of nonlinear analysis of rotor systems.