Experiment research on stability of herringbone grooved aerodynamic bearing-rotor system

Chen Changting1 , Yang Jinfu2 , Han Dongjiang3 , Tang Changliang4

1, 2, 3, 4Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing, China

1Corresponding author

Vibroengineering PROCEDIA, Vol. 4, 2014, p. 69-74.
Accepted 16 July 2014; published 3 November 2014

Copyright © 2014 JVE International Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Abstract.

Take experiment research on characteristics of turbine expansion engine’s shaft supported by herringbone grooved aerodynamic journal bearing, with the emphasis on its low frequency whirl. Get bearing’s taking-off speed and low frequency vibration characteristics by comprehensively analysis methods of spectrum diagram, haft orbit and time waveform and bifurcation diagram. The result shows that the graphite made herringbone groove hydrodynamic bearing can reach 37548 r/min and half-frequency vibration happens since 13021 r/min. With the speed up, rubbing exists and the amplitude of low frequency even bigger than power frequency. The result shows that the half-frequency is the main unstable factor.

Keywords: herringbone grooved, aerodynamic journal bearing, experiment research, taking-off speed, half frequency vibration.

1. Introduction

Compared with liquid lubricated journal bearings, gas bearing is widely used in high-speed turbine expansion engine due to its advantages such as low friction, low heat and environmentally friendly [1]. One of hydrodynamic bearing’s outstanding features is no external high pressure supply, which greatly simplifies the complexity of bearing lubrication system [2]. Viscous gas between relative motion convergent wedges in aerodynamic bearing generates pressure film to support rotor. The characteristic of fluid-solid coupling in gas bearing-rotor system makes rotor easy to present nonlinear behaviors like whirl, oscillations and resonance, affecting the stability of rotor [6]. Therefore, taking off speed and stability become key performances in design of aerodynamic bearing. Yang Lihua does experiment research on aerodynamic compliant foil bearing’s taking off speed and capacity. Analysis is conducted through friction torque and radial displacement response spectrum [7]. Chen-Chi Wang calculates herringbone groove aerodynamic bearing-rotor system’s nonlinear dynamic behaviors. Rotor’s orbit, phase diagrams, Poincare map, energy spectrum are calculated to study rotor’s stability. The rotor shows results shows quasi-periodic and periodic dynamic response characteristics under different bearing numbers. Yang Jinfu analyzes sliding bearing-rotor’s low frequency vibration features. Shaft’s engineering stability criterion is built and coupling regulating frequency technology is put up to avoid film whirl and oscillation in order to improve rotor’s stability [9-10].

New graphite made herringbone groove hydrodynamic bearing researched in this paper has performances such as self-lubricating, high wear and impact resistance, wide temperature adaptability [11]. The paper does experiment research on shaft’s stability in high-speed turbine expansion. Amphasis is paid on grooved aerodynamic bearing’s taking-off speed and rotor’s low frequency vibration.

2. Experiment test rig and scheme

2.1. Experiment test rig

Gas bearing-rotor test lab consists of three parts which are power and pipeline control system, mechanical components and vibration signal acquisition, storage and analysis system. The test system is shown in Fig. 1.

Fig. 1. Aerodynamic bearing-rotor experiment and test system

 Aerodynamic bearing-rotor experiment and test system

Air compressor provides air which can supply 0.1-1.3 MPa and 21-2°C’s gas as power to drive rotor. Pipe consists of regulator valve and piping filter regulator. There are pressure gauges, thermometers and flow meters to monitor gas’s state parameters. Four ZA-21 series eddy current displacement sensors are placed to measure horizontal and vertical directions of vibration displacement near the journal. In addition, a fifth sensor (eddy current displacement sensor) is used to measure rotor rotational speed. Signals from sensors are transmitted to a data logger. Then the signal is storage in computer after anti-filter amplifier for data analysis.

2.2. Structure of bearing and rotor

Herringbone grooves aerodynamic bearing and rotor is shown in Fig. 2. Bearing is radial-thrust hybrid bearing. Main parameters are lists in Table 1.

Fig. 2. Structure of bearing and rotor

 Structure of bearing and rotor

Table 1. Structure parameter of bearing

Parameter
Symbol / unit
Value
Length of bearing
L / mm
37.5
Diameter of bearing
D / mm
25
Angle of groove
θ / degree
25
Number of groove
11
Length of groove
l / mm
10
Depth of groove
d / mm
0.02
Length of rotor
L 1 / mm
300
Mass of rotor
m / g
600

2.3. Experiment scheme

In order to study rotor’s vibration properties in the process of speeding up, rotor runs from 0 to maximum speed through controlling turbine’s gas flow. Vibration signals are collected and analysis is done to monitor and diagnose rotor’s stability status.

3. Experiment result and analysis

3.1. Bearing’s taking-off speed analysis

Fig. 3 is rotor’s spectrum structure diagram. We can infer that bearing’s taking-off speed is about 6961 r/min.

Before certain speed, surfaces between rotor and bearing forms dry friction. There is a large continuous low-frequency component in addition to a large half-frequency whirl component. After rotor’s taking-off, surfaces between rotor and bearing forms hydrodynamic gas film to support rotor. Spectrum diagram contains only power frequency and the other frequency components are much smaller. This phenomenon is consistent with the literature [7].

Fig. 3. Spectrum diagram before and after taking-off

 Spectrum diagram before and after taking-off

a) Before

 Spectrum diagram before and after taking-off

b) After

Fig. 4. Time-amplitude curve

 Time-amplitude curve

a) Before

 Time-amplitude curve

b) After

Fig. 4 is amplitude-frequency curve in horizontal and vertical directions. In 6961 r/min, the amplitudes of the two directions change suddenly. The amplitude of the horizontal direction decreases from 3.237 μm to 1.125 μm. The vertical direction increases from 14.73 μm to 23.06 μm. For obvious presence of dynamic pressure, the rotor is floated by dynamic gas film so that amplitude jump occurs in both directions.

3.2. Low frequency vibration analysis

Fig. 5 is an amplitude-time-frequency diagram in direction of horizontal. The horizontal axis is frequency and the vertical axis is running time. Chromatogram’s brightness indicates the amplitude of vibration.

Fig. 5. Spectrum structure diagram

 Spectrum structure diagram

In Fig. 5, curve ABC shows power frequency vibration. Low frequency vibration occurs since 13021 r/min. When the rotor accelerates to maximum speed 37548 r/min, the low frequency whirl doesn’t disappear. Curve DF shows low frequency vibration.

Point B’s speed is 28384 r/min (473.08 Hz) corresponding to the low vibration frequency of 236.53 Hz; point C’s speed of 36687 r/min (611.54 Hz), corresponding to the the low vibration frequency of 355.77 Hz. During the whole speeding-up process, low-frequency vibration ratio ranges from 0.495 to 0.507.

Figs. 6-7 are rotor’s orbit and frequency spectrum diagram in 10672 r/min when there is no low frequency vibration. Rotor’s orbit shows feature of periodic one and the amplitude of rotor is below 10 μm.

Fig. 6. Shaft’s orbit in 10605 r/min

Shaft’s orbit in 10605 r/min

Fig. 7. Shaft’s frequency spectrum diagram 10605 r/min

Shaft’s frequency spectrum diagram 10605 r/min

Figs. 8-9 are shaft orbit and spectrum structure diagram when rotor’s speed is 20974 r/min. Shaft orbit shows feature of periodic two. From vibrating frequency spectrum we can see that power frequency vibration’s amplitude is 9 μm and low frequency vibration’s amplitude is 33 μm. They are in the same order of magnitude and half-frequency is bigger.

During rotor’s half-speed whirl period, the process accompanied with rubbing, as shown in Fig. 5’s E1-E3 region. The following three pictures are rotor’s vibration features when rubbing occurs. Fig. 10 is time domain waveform we can see that peak clipping exists in A, B and C ponit. Fig. 11 is shaft’s frequency spectrum diagram, there are a lot of low frequency vibration besides half frequency vibration. Fig. 12 is rotor’s orbit and it presents disorder features.

Fig. 8. Shaft’s orbit in 28384 r/min

Shaft’s orbit in 28384 r/min

Fig. 9. Shaft’s frequency spectrum diagram in 28384 r/min

Shaft’s frequency spectrum diagram in 28384 r/min

Fig. 10. Time domain waveform when rubbing

 Time domain waveform when rubbing

Fig. 11. Shaft’s frequency spectrum diagram when rubbing

 Shaft’s frequency spectrum diagram when rubbing

Fig. 12. Shaft’s orbit diagram when rubbing

 Shaft’s orbit diagram when rubbing

When speed reaches 13021 r/min, the rotor runs in unstable condition. Fig. 13(a)-(e) presents rotor’s unstable process before speeding down. Rotor experiences the following status: a) half frequency vibration which low frequency’s amplitude is small; b) rubbing; c) disorder; d) half frequency vibration which low frequency’s amplitude is big d) disorder e) speed down.

4. Conclusion

From experiment result, we can get the conclusion as follows:

1) New structure of pure graphite herringbone groove hydrodynamic bearings-rotor speed can reach 37548 r/min, and its taking-off speed is 696 1r/min;

2) The experiment verifies the half-speed whirl is an inherent property of the dynamic bearing and half-speed whirl frequency ratio is 0.495-0.507;

3) Rubbing exists during speed-up process. Hydrodynamic bearing’s shape is not the most optimized. For delaying or inhibiting the occurrence of half-speed whirl and rubbing, optimization groove need to be designed.

Fig. 13. Rotor’s orbit diagram near the highest speed

 Rotor’s orbit diagram near the highest speed

a) 32951 r/min (110.696 s)

 Rotor’s orbit diagram near the highest speed

b) 36193 r/min (112.725 s)

 Rotor’s orbit diagram near the highest speed

c) 35983 r/min (113.515 s)

 Rotor’s orbit diagram near the highest speed

d) 37453 r/min (114.110 s)

 Rotor’s orbit diagram near the highest speed

e) 36391 r/min (1135.650 s)

 Rotor’s orbit diagram near the highest speed

f) 29642 r/min (117.043 s)

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