journal article·2013-03Open access

Time domain-based gear contact fatigue analysis of a wind turbine drivetrain under dynamic conditions

Wenbin Dong, Yihan Xing, Torgeir Moan, Zhen Gao

Abstract

Abstract This paper presents a general approach to predict the contact fatigue life of the gears in the drive-train system of a wind turbine under dynamic conditions. A simplified predictive pitting model that estimates service lives is presented and validated by comparisons with published experimental evidence. Finally, the predictive model is used to estimate the contact fatigue lives of the sun gear and planetary gears in the drive-train system of the National Renewable Energy Laboratory’s 750 kW land-based wind turbine based on time domain simulations. The occurrence frequencies of different wind speeds are described by the generalized gamma distribution. The time series of the torques in the main shaft are obtained from a global dynamic response analysis of the wind turbine. The time series of the gear contact forces is obtained from a dynamic analysis of the gearbox using multi-body simulation. The two-parameter Weibull distribution, the three-parameter Weibull distribution, and the generalized-gamma distribution are used to fit the long-term probabilistic distribution of the gear tooth contact pressures. The case study shows the validity of the approach presented in this paper.
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Research context

OpenAlex topics: Mechanical stress and fatigue analysis · Gear and Bearing Dynamics Analysis · Real-time simulation and control systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (61)

Show source-provided references
1. McNiff · 1990
2. ISO/IEC 81400-4. Wind turbines-part 4: standard for design and specification of gearboxes. The international organization for standardization: Geneva, Switzerland; 2005.
3. AGMA standard 2003-A86. AGMA standard for rating the pitting resistance and bending strength of spur and helical involute gear teeth; 1982.
4. DIN (Deutsche Institut fur Normung) 3990. Tragfahigkeits-berechnung von Stirnradern. Beuth Verlag GMBH; 1987.
5. ISO standard 6336-2. Calculation of load capacity of spur and helical gears – part 2: calculation of surface durability (pitting). The international organization for standardization: Geneva, Switzerland; 2006.
6. A new model for the numerical determination of pitting resistance of gear teeth flanks10.1111/j.1460-2695.1997.tb00403.x ↗
7. Pitting due to rolling contact10.1115/1.4008607 ↗
8. Dynamic capacity and surface fatigue life for spur and helical gears10.1115/1.3452819 ↗
9. Dynamic capacity of roller bearings
10. Subsurface and surface cracking due to hertzian contact10.1115/1.3253217 ↗
11. A pitting model for rolling contact fatigue10.1115/1.3254565 ↗
12. Analysis of surface crack propagation in lubricated rolling contact10.1080/05698198508981595 ↗
13. An analytical life prediction model for the crack propagation occurring in contact fatigue failure10.1080/10402009208982143 ↗
14. The thermal stresses in an elastic half-space associated with an arbitrarily distributed fast-moving heat source10.1115/1.3650661 ↗
15. Three-dimensional analysis of thermal effects on surface crack propagation in rolling contact10.1080/01495739008927036 ↗
16. A fracture mechanics model for the wear of gear flanks by pitting10.1016/S0043-1648(97)00008-2 ↗
17. Numerical modelling of crack path in the lubricated rolling–sliding contact problems10.1016/j.engfracmech.2007.02.001 ↗
18. The influence of different parameters on surface pitting of contacting mechanical elements10.1016/S0013-7944(03)00022-5 ↗
19. A model for the simulation of the interactions between dynamic tooth loads and contact fatigue in spur gears10.1016/j.triboint.2011.03.024 ↗
20. Jonkman JM, Marshall L, Buhl Jr. FAST user’s guide. Technical Report NREL/EL-500-38230. National Renewable Energy Laboratory (NREL). Golden, Colorado, USA; 2005.
21. SIMPACK Release 8.9. SIMPACK Reference Guide. SIMDOC v8.904. 2010.
22. Micromechanics modeling of crack initiation under contact fatigue10.1115/1.2927042 ↗
23. A theory of fatigue crack initiation in solids10.1115/1.2888304 ↗
24. A computational model for determination of service life of gears10.1016/S0142-1123(02)00024-5 ↗
25. Fatigue crack initiation and propagation under cyclic contact loading10.1016/j.engfracmech.2009.02.005 ↗
26. Agha SR. Fatigue performance of superfinish hard turned surfaces in rolling contact. Purdue University. PhD thesis; 2000.10.1016/S0043-1648(00)00438-5 ↗
27. Calculation for rolling contact fatigue life and strength of case-hardened gear materials by computer10.1520/JTE11735J ↗
28. The relationship between crack propagation rates and wear rates10.1016/0043-1648(77)90084-9 ↗
29. Rolling contact fatigue life of finish hard machined surfaces part 1. Model development10.1016/j.wear.2005.12.002 ↗
30. Influence of microstructure and residual stress on the stages of case crushing10.1016/0043-1648(88)90005-1 ↗
31. Mode II stress intensity factors for a crack parallel to the surface of an elastic half-space subjected to a moving point load10.1016/0022-5096(85)90022-5 ↗
32. Rolling contact fatigue life of finish hard machined surfaces, part 2. Experimental verification10.1016/j.wear.2005.12.003 ↗
33. Identification of rolling–sliding damage mechanisms in porous alloys10.1007/s11661-000-0088-0 ↗
34. Newman CJ, In: Larsen J, Allison JE, editors. “Small-crack” test methods. ASTM STP 1149, ASTM. Philadelphia; 1992. p. 6–33.10.1520/STP15062S ↗
35. Stresses due to tangential and normal loads on an elastic solid with application to some contact stress problems10.1115/1.4010643 ↗
36. Dimensioning of complicated steel machine part in the whole range of load cycle and endurance10.1002/mawe.19790100108 ↗
37. Bending strength of carburized SCM42OH spur gear teeth10.1299/jsme1958.29.273 ↗
38. Evaluation of the strength of carburized spur gear teeth based on fracture mechanics
39. Melchers · 2002
40. Thermal rating of gear drives: balance between power loss and heat dissipation
41. Friction coefficient in FZG gears lubricated with industrial gear oils: biodegradable ester vs. mineral oil10.1016/j.triboint.2005.03.021 ↗
42. Initiation and propagation of case crushing cracks in rolling contact fatigue10.1016/0043-1648(88)90004-X ↗
43. Rolling/sliding contact fatigue life predication of sintered and hardened steels10.1016/j.wear.2006.03.053 ↗
44. Bir GS, Oyague F. Estimation of blade and tower properties for the gearbox research collaborative wind turbine. Technical Report NREL/EL-500-42250. National Renewable Energy Laboratory (NREL). Golden, Colorado, USA; 2007.10.2172/920930 ↗
45. Oyague F. GRC Drive Train Round Robin GRC 750/48.2 Loading Document (IEC 61400-1 Class IIB). Golden, Colorado, USA; 2009.
46. Spectral characteristics of surface-layer turbulence10.1002/qj.49709841707 ↗
47. International Standard IEC-61400-1. Wind turbines. Part 1: design requirements. 3rd ed. International electrotechnical commission. Geneva, Switzerland; 2005.
48. Time domain modeling and analysis of dynamic gear contact force in wind turbine gearbox with respect to fatigue assessment10.3390/en5114350 ↗
49. ISO Standard 6336-1. Calculation of load capacity of spur and helical gears – Part 1: basic principles, introduction and general influence factors. 2nd ed. The international organization for standardization: Geneva, Switzerland; 2006.
50. A simplified model for wear prediction in helical gears10.1016/S0043-1648(01)00556-7 ↗
51. Xing YH, Karimirad M, Moan T. Modeling and analysis of spar-type floating wind turbine drivetrain. Wind Energy; submitted for publication.
52. Xing YH, Moan T. Multi-body modeling and analysis of a planet carrier in a wind turbine gearbox. Wind Energy; accepted for publication.
53. Nejad AR, Xing YH, Moan, T. Gear train dynamics in large offshore wind turbines. The ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, Nantes, France; 2012.
54. LaCava · 2012
55. Xing · 2012
56. Comprehensive empirical analysis of ERA-40 surface wind speed distribution over Europe10.1016/j.enconman.2008.02.003 ↗
57. The ERA-40 re-analysis10.1256/qj.04.176 ↗
58. Assessment of the global and regional geographical, technical and economic potential of onshore wind energy10.1016/j.eneco.2004.04.016 ↗
59. New · 1997
60. New · 1999
61. Sheng SW, McDade M, Errichello R. Wind turbine gearbox failure modes – a brief. ASME/STLE 2011 International Joint Tribology Conference, Los Angeles, California; 2011.