Abstract

This research report discusses the dynamic behaviors of an axial-groove gas bearings-rotor system with rod-fastened structure. The time-based dependency-compressible Reynolds equation in the gas bearing nonlinear system is solved by the differential transformation method, and the continuous gas film forces of a three-axial-groove gas bearing are obtained. A dynamic mathematical model of the rotor system with rod-fastened structure supported in two- and three-axial-groove gas bearings with eight degrees of freedom is established. The dynamic motion equation of the rod-fastened rotor system is solved by the modified Newmark-β method based on disturbance compensation, which can reduce the computing error and improve computing stability. The dynamic characteristics of the rod-fastened rotor-gas bearing system are analyzed efficiently by the diversiform unbalance responses. The influence of the position angle of the pad on the nonlinear characteristics of the rod-fastened rotor system is also studied.

Highlights

  • Academic Editors: Ji Wang, Oil-free lubrication provides many unique characteristics for gas bearings, such as low friction, high positioning precision and low pollutant emission

  • The dynamic motion model of the rod-fastened rotor system can be solved by using the Newmark-β method; calculation errors may occur while a disturbance is produced by an increment of acceleration

  • Different from the cylindrical bearing and continuous integral rotor structure, in this report, a rod-fastened rotor and two- and three-axial-groove gas bearings are applied in the Different from the cylindrical bearing and continuous integral rotor structure, in bearing-rotor system

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Summary

Introduction

Academic Editors: Ji Wang, Oil-free lubrication provides many unique characteristics for gas bearings, such as low friction, high positioning precision and low pollutant emission. Liu et al [13] studied the nonlinear dynamic characteristics of a rigid rotor system with herringbone-grooved-journal gas bearings support, the onset speed and the whirl frequency ratio of subsynchronous vibration in the gas bearings-rotor system were estimated and analyzed. Based on time delays and feedback control gains, the dynamic behavior of the rotor supported by the self-acting three-axial-grooved gas-lubricated bearings were investigated by us [15], and a mathematical method used to obtain the dynamic characteristics of the nonlinear gas bearing-rotor system is presented. Based on the D’Alembert principle, a nonlinear dynamic hybrid model of the rod-fastened rotor was built by considering different rub-impact and initial permanent deflection; the effects of rotating speed and the length of initial permanent deflection on the dynamic behaviors of the journal bearing rod-fastened rotor system were analyzed. The effects of the position angle of the pad on the nonlinear dynamic behavior are investigated

Kinematic Model
Schematic
Method of Nonlinear
Dynamic Motion of the Rod-Fastened Rotor-Gas Bearing System
Newmark-β Method Based on Disturbance Compensation
Results and Discussions
Comparison of the Rod-Fastened Rotor and Continuous Integral Rotor
Orbits
Bifurcation Characteristics
Unbalance Responses Versus Rotating Speed ω
Effects of the Position Angle of Pad α0
Conclusions
Full Text
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