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A Study on a Finite Element Analysis Method Using Simplified Ball Models of Wind Turbine Ball Bearings

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초록

This study focuses on the analysis of slewing ball bearings in wind turbines. Slewing bearings have an outer diameter of several meters, and hundreds of balls are in contact with the raceway. Due to the large number of balls and raceway contact conditions, it is difficult to accurately analyze contact stresses using general analysis techniques. To analyze the contact stress of a slewing ball bearing, the sub-modeling method is applied, which is a technique that first analyzes the displacement of the entire model and then analyzes the local stress at the point of maximum displacement. In order to reduce the displacement analysis time of the entire ball bearing, the technique of replacing the ball with a nonlinear spring is adopted. The analytical agreement of the simplified model was evaluated by comparing it with a solid mesh model of the ball for three models with different spring attachment methods. It was found that for the condition where a large turnover moment is applied to the bearing, increasing the number of spring elements gives the closest results to modeling the ball with a solid mesh.

Abstract

This study focuses on the analysis of slewing ball bearings in wind turbines. Slewing bearings have an outer diameter of several meters, and hundreds of balls are in contact with the raceway. Due to the large number of balls and raceway contact conditions, it is difficult to accurately analyze contact stresses using general analysis techniques. To analyze the contact stress of a slewing ball bearing, the sub-modeling method is applied, which is a technique that first analyzes the displacement of the entire model and then analyzes the local stress at the point of maximum displacement. In order to reduce the displacement analysis time of the entire ball bearing, the technique of replacing the ball with a nonlinear spring is adopted. The analytical agreement of the simplified model was evaluated by comparing it with a solid mesh model of the ball for three models with different spring attachment methods. It was found that for the condition where a large turnover moment is applied to the bearing, increasing the number of spring elements gives the closest results to modeling the ball with a solid mesh.

참고문헌 (14)

  1. "ISO 76, Rolling bearing-Static load ratings", ~ (2006)
  2. "ISO 281, Rolling bearings–Dynamic load ratings and rating life", ~ (2007)
  3. Wind Turbine Design Guideline DG03:Yaw and Pitch Rolling Bearing Life, "Harris. T.", NREL, ~, pp.NREL (2009), TP-500-42362
  4. Gao, X. H., "Modelling of ball raceway contacts in a slewing bearing with nonlinear springs", Proceedings of the Instirution of Mechanical Engineers, Part C Journal of Mechanical Engingeering Science, 225(4), pp.827~831 (2011)
  5. Daidié, A., "3D simplified finite elements analysis of load and contact angle in a slewing ball bearing", Journal of Mechanical Design, 130(8), pp.082601~ (2008)
  6. Zupan, S., "Carrying angle and carrying capacity of a large single row ball bearing as a function of geometry parameters of the rolling contact and the supporting structure stiffness", Mechanism and Machine Theory, 36(10), pp.1087~1103 (2001)
  7. Plaza, J., "A new finite element approach for the analysis of slewing bearings in wind turbine generators using superelement techniques", Meccanica, 50(6), pp.1623~1633 (2015)
  8. Schwack, F., "Free contact angles in pitch bearings and their impact on contact and stress conditions", WindEurope summit 2016 Hamburg Conference (2016)
  9. Matthis, G., "Validation of a finite-element model of a wind turbine blade bearing", Finite Elements in Analysis and Design, 221(C), pp.103957~ (2023)
  10. Park, J. S., "Study on structural analysis technique of pitch bearing for wind turbine with preload between ball and raceway considered", The 2023 Spring Conference of Korea Wind Energy Association (2023)
  11. Houpert, L., "An Engineering Approach to Hertzian Contact Elasticity—Part I", ASME Journal of Tribology, 123(3), pp.582~588 (2001)
  12. Shan, C., "Theory and implementation of sub-model method in finite element analysis", Heliyon, 8(11), pp.e11427~ (2022)[DOI]
  13. De S. V., "Mémoire sur la flexion des prismes", Journal de Mathématiques Pures et Appliquées, Serie. 2, 1, pp.89~189 (1856)
  14. Effects of Mesh Density on Finite Element Analysis, "Yucheng L.", SAE, ~, pp.SAE Technical Paper 2013-01-1375 (2013)

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