Operating Behavior of Sliding Planet Gear Bearings for Wind Turbine Gearbox Applications—Part I: Basic Relations
Abstract
:1. Introduction
2. Materials and Methods
2.1. Governing Equations and Bearing Model
2.2. Verification of the Numerical Procedure
2.3. Flow Factors and Solid Contact Pressure
2.4. Investigated Sliding Planet Gear Bearing
2.5. Bearing Loads Due to Mesh Forces
3. Results
3.1. Impact of Helix Angle of the Helical Gear on Operating Conditions in the Lubricant Gap
3.2. Impact of Radial Clearance on Load Carrying Capacity
3.3. Impact of Axial Profiling
3.4. Operation at Part-Load and Over-Load Conditions
3.4.1. Part-Load Conditions for Homogenous Load Distribution on Tooth Flank
3.4.2. Part-Load and Over-Load Conditions for Constant Tooth Flank Geometry
3.5. Modification of the Lubricant Gap by Wear
4. Discussion and Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Nomenclature
c | lubricant specific heat |
CR | radial clearance |
d1 | pitch diameter |
e | Eccentricity between pin and planet |
F0, F1, F2 | viscosity factors |
F | force |
h | film thickness |
M | moment |
n | rotor speed |
p | pressure |
Rq | root mean square surface roughness |
T | temperature, torque |
U | surface speed |
u, v, w | flow velocities |
x, y, z | Cartesian coordinates |
X,Y | translational displacement relative to equilibrium position |
Θ | lubricant density ratio |
γ | attitude angle |
η | lubricant dynamic viscosity |
λ | lubricant conductivity |
ρ | lubricant density |
φx, φy | alignment angle about x-,y-axis |
φX, φY | alignment angle about x-,y-axis relative to equilibrium position |
ϕ | angular coordinate |
ϕx,ϕzp | pressure flow factors |
ΦxS | shear flow factor |
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Parameter | Value |
---|---|
Geometrical properties | |
Number of pads, - | 1 |
Nominal diameter, mm | 60 |
Bearing width, mm | 66 |
Radial clearance, µm | 30 |
Pad sliding surface preload, - | 0.0 |
Static analysis parameters | |
Rotational speed, rpm | 3000 |
Lubricant properties | |
Lubricant dynamic viscosity, mPas | 9.0 |
Parameter | Value |
---|---|
Geometrical properties | |
Number of pads, - | 1 |
Nominal diameter, mm | 250 |
Pitch circle diameter, mm | 499 |
Bearing width, mm | 300 |
Angular span of lube oil pocket, degrees | 20.5 |
Width of lube oil pocket, mm | 260 |
Radial clearance, µm | 138 |
Pad sliding surface preload, - | 0.0 |
Static analysis parameters | |
Nominal rotational speed, rpm | 30 |
Nominal bearing load, kN | 900 |
Lubricant supply temperature, °C | 60 |
Lube oil supply pressure, MPa | 0.2 |
Lubricant properties | |
Lubricant | ISO VG 320 |
Lubricant density kg/m3 | 865 @ 40 °C |
Lubricant specific heat capacity kJ/(kg·K) | 2.0 @ 20 °C |
Lubricant thermal conductivity, W/(m·K) | 0.13 |
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Hagemann, T.; Ding, H.; Radtke, E.; Schwarze, H. Operating Behavior of Sliding Planet Gear Bearings for Wind Turbine Gearbox Applications—Part I: Basic Relations. Lubricants 2021, 9, 97. https://doi.org/10.3390/lubricants9100097
Hagemann T, Ding H, Radtke E, Schwarze H. Operating Behavior of Sliding Planet Gear Bearings for Wind Turbine Gearbox Applications—Part I: Basic Relations. Lubricants. 2021; 9(10):97. https://doi.org/10.3390/lubricants9100097
Chicago/Turabian StyleHagemann, Thomas, Huanhuan Ding, Esther Radtke, and Hubert Schwarze. 2021. "Operating Behavior of Sliding Planet Gear Bearings for Wind Turbine Gearbox Applications—Part I: Basic Relations" Lubricants 9, no. 10: 97. https://doi.org/10.3390/lubricants9100097