Vibration Characteristics of Blade Adjustment Gear Train for 8MW Class Offshore Wind Turbines

International Journal of Mechanical Engineering
© 2025 by SSRG - IJME Journal
Volume 12 Issue 9
Year of Publication : 2025
Authors : Min-Woo Kim, Yu-Jin Jeong, Hyoung-Woo Lee
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How to Cite?

Min-Woo Kim, Yu-Jin Jeong, Hyoung-Woo Lee, "Vibration Characteristics of Blade Adjustment Gear Train for 8MW Class Offshore Wind Turbines," SSRG International Journal of Mechanical Engineering, vol. 12,  no. 9, pp. 65-77, 2025. Crossref, https://doi.org/10.14445/23488360/IJME-V12I9P107

Abstract:

This paper reports on a study of the vibration characteristics of the blade adjustment gear train for 8MW class offshore wind turbines. A method for analyzing the vibrations of the blade adjustment gear train was proposed by combining the rotational vibration model of the planetary gear train with the finite element models of the housing and carrier using the sub-structuring method. Applying 10%, 20%, …, 100% of the largest LDD load showed that both bearing stiffness and the primary natural frequency increase with higher LDD loads. Furthermore, the primary natural frequency for the highest load in the LDD data was found to be 104.26 Hz, which exceeds the operating speed of 84.87 rpm (5.09 Hz), indicating that vibrations due to LDD load variations do not occur within the operating speed range. In addition, analysis of critical speeds for the blade adjustment gear train showed that critical speeds related to mass unbalance, gear mesh frequency, and bearing defects do not occur within the operating speed range (84.87 rpm). Also, by utilizing AGMA 6000-B96, an acceptable displacement for vibration was selected, and the displacement occurring under LDD load conditions was compared with the acceptable displacement to assess vibration safety. The response analysis results for the planetary gears and output shaft bearings at the 1st, 2nd, and 3rd stages all satisfied the acceptable levels. This work shows that vibration problems in complex gear systems can be accurately predicted during the simulation phase. This can dramatically reduce development cost and time by detecting and correcting design defects before expensive prototyping or real-world testing. In the future, we plan to verify the reliability of the model by comparing it with the theoretical analysis results through real-world experiments.

Keywords:

Wind turbine, Vibration, Transmission Error, Response Analysis.

References:

[1] J.W. David, and L.D. Mitchell, “Linear Dynamic Coupling in Geared Rotor System,” Journal of Vibration, Acoustics, Stress, and Reliability in Design, vol. 108, no. 2, pp. 171-176, 1986.
[CrossRef] [Google Scholar] [Publisher Link]
[2] L.D. Mitchell, and J.W. David, “Proposed Solution Methodology for the Dynamically Coupled Nonlinear Geared Rotor Mechanics Equations,” Journal of Vibration, Acoustics, Stress, and Reliability in Design, vol. 107, no. 1, pp. 112-116, 1985.
[CrossRef] [Google Scholar] [Publisher Link]
[3] Takuzo Iwatsubo, Shirou Arii, and Ryoji Kawai, “Coupled Lateral-Torsional Vibration of Rotor System Trained by Gears : Part 1. Analysis by Transfer Matrix Method,” Bulletin of Japanese Society of Mechanical Engineers, vol. 27, no. 224, pp. 271-277, 1984.
[CrossRef] [Google Scholar] [Publisher Link]
[4] Hiroshi Iida et al., “Coupled Torsional-Flexural Vibration of a Shaft in a Geared System of Rotors : 1st Report,” Bulletin of the JSME, vol. 23, no. 186, pp. 2111-2117, 1980.
[CrossRef] [Google Scholar] [Publisher Link]
[5] Hiroshi Iida, Akiyoshi Tamura, and Hiroshi Yamamoto, “Dynamic Characteristics of a Gear Train System with Softly Supported Shafts,” Bulletin of JSME, vol. 29, no. 252, pp. 1811-1816, 1986.
[CrossRef] [Google Scholar] [Publisher Link]
[6] P. Schwibinger, and R. Nordmann, “The Influence of Torsional-Lateral Coupling on the Stability Behavior of Geared Rotor Systems,” Journal of Engineering for Gas Turbines and Power, vol. 110, no. 4, pp. 563-571, 1988.
[CrossRef] [Google Scholar] [Publisher Link]
[7] A. Kahraman et al., “Dynamic Analysis of Geared Rotors by Finite Elements,” Journal of Mechanical Design, vol. 114, no. 3, pp. 507-514, 1992.
[CrossRef] [Google Scholar] [Publisher Link]
[8] F.K. Choy et al., “Vibration Signature and Modal Analysis of Multi-stage Gear Transmission,” Journal of the Franklin Institute, vol. 328, no. 2-3, pp. 281-298, 1991.
[CrossRef] [Google Scholar] [Publisher Link]
[9] F.K. Choy et al., “Modal Simulation of Gear Box Vibration with Experimental Correlation,” Journal of Propulsion and Power, vol. 9, no. 2, pp. 301-306, 1993.
[CrossRef] [Google Scholar] [Publisher Link]
[10] M. A. Prohl, “General Method for Calculating Critical Speeds of Flexible Rotors,” Journal of Applied Mechanics, vol. 12, no. 3, pp. A142-A148, 1945.
[CrossRef] [Google Scholar] [Publisher Link]
[11] J.W. Lund, “Stability and Damped Critical Speeds of a Flexible Rotor in Fluid-Film Bearings,” Journal of Manufacturing Science and Engineering, vol. 96, no. 2, pp. 509-517, 1974.
[CrossRef] [Google Scholar] [Publisher Link]
[12] P.N. Bansal, and R.G. Kirk, “Stability and Damped Critical Speeds of Rotor-Bearing Systems,” Journal of Manufacturing Science and Engineering, vol. 97, no. 4, pp. 1325-1332, 1975.
[CrossRef] [Google Scholar] [Publisher Link]
[13] Mengyan Nie, and Ling Wang, “Review of Condition Monitoring and Fault Diagnosis Technologies for Wind Turbine Gearbox,” Procedia CIRP, vol. 11, pp. 287-290, 2013.
[CrossRef] [Google Scholar] [Publisher Link]
[14] K. Smolders et al., “Reliability Analysis and Prediction of Wind Turbine Gearboxes,” European Wind Energy Conference and Exhibition, vol. 4, pp. 2660-2670, 2010.
[CrossRef] [Google Scholar] [Publisher Link]
[15] A. Kahraman, “Planetary Gear Train Dynamics,” Journal of Mechanical Design, vol. 116, no. 3, pp. 713-720, 1994.
[CrossRef] [Google Scholar] [Publisher Link]
[16] A. Kahraman, “Natural Modes of Planetary Gear Trains,” Journal of Sound and Vibration, vol. 173, no. 1, pp. 125-130, 1994.
[CrossRef] [Google Scholar] [Publisher Link]
[17] Robert G. Parker, Vinayak Agashe, and Sandeep M. Vijayakar, “Dynamic Response of a Planetary Gear System using a Finite Element/Contact Mechanics Model,” Journal of Mechanical Design Design, vol. 122, no. 3, pp. 304-310, 2000.
[CrossRef] [Google Scholar] [Publisher Link]
[18] Tedric A. Harris, Rolling Bearing Analysis, Wiley, pp. 1-1086, 2001.
[Google Scholar] [Publisher Link]
[19] Pascal Guay, and Ahmed Frikha, “Ball Bearing Stiffness. A New Approach Offering Analytical Expressions,” Proceedings of 16th European Space Mechanisms and Tribology Symposium, Bilbao, 2015.
[Google Scholar]
[20] Pierre Tchakoua et al., “Wind Turbine Condition Monitoring: State-of-the-Art Review, New Trends, and Future Challenges, New Trends, and Future Challenges,” Energies, vol. 7, no. 4, pp. 2595-2630, 2014.
[CrossRef] [Google Scholar] [Publisher Link]