Abstract

In order to research the conical spiral groove aerodynamic bearings, the lubrication mathematical model of the bearings was established. The Reynolds equation of the laminar flow condition is used to calculate the partial differential equation of the perturbation pressure with the local finite difference method. Through calculating the stiffness and damping coefficient, the influence of the speed of law and eccentricity ratio on the dynamic characteristic coefficients has been gained. The mathematical model for the stability of the bearing-rotor system is established to study the influence law of speed influence of the law of speed and eccentricity ratio on the stability. The results show that the influence of the bearing's speed and eccentricity on the dynamic characteristics is significant. A reasonable choice of the bearing's speed and eccentricity contributes to improve the dynamic characteristics and the stability of the bearing-rotor system.

Highlights

  • Aerodynamic bearing depends on the gas dynamic pressure film that has formed in the bearing clearance with a certain stiffness to support the rotor

  • The nonlinear dimensionless Reynolds equation of conical spiral groove aerodynamic bearings under the state of laminar flow is established in the transient state

  • The system stability in the low speed range is better than the stability in the high speed range

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Summary

INTRODUCTION

Aerodynamic bearing depends on the gas dynamic pressure film that has formed in the bearing clearance with a certain stiffness to support the rotor. The advantages are that it does not require external air feeder, with low friction, high speed and long service life, etc. The major disadvantages are low load capacity, small stiffness and poor stability. Due to the high rotation speed of the bearing that can reaches up to hundreds of thousands of revolutions per minute, the gas film pressure changes is a very complicated nonlinear stochastic process [3,4]. The behavior of the rotor and the stability of the bearing-rotor system are affected directly by the bearing's dynamic characteristics [5,6]. It is necessary to research the bearing's dynamic characteristics in-depth, and to analyze the stability of the bearing-rotor system

Fundamental Bearing Layout
Mathematical Modeling
The Stiffness and Damping Equations
Solution of Perturbation Pressure
Experimental Analysis
The Stability Criterion
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