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Dynamic analysis of wind turbine tower structures in complex ocean environment

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Abstract

Studying and analyzing the dynamic behavior of offshore wind turbines are of great importance to ensure the safety and improve the efficiency of such expensive equipments. In this work, a tapered beam model is proposed to investigate the dynamic response of an offshore wind turbine tower on the monopile foundation assembled with rotating blades in the complex ocean environment. Several environment factors like wind, wave, current, and soil resistance are taken into account. The proposed model is analytically solved with the Galerkin method. Based on the numerical results, the effects of various structure parameters including the taper angle, the height and thickness of the tower, the depth, and the diameter and the cement filler of the monopile on the fundamental natural frequency of the wind turbine tower system are investigated in detail. It is found that the fundamental natural frequency decreases with the increase in the taper angle and the height and thickness of the tower, and increases with the increase in the diameter of the monopile. Moreover, filling cement into the monopile can effectively improve the fundamental natural frequency of the wind turbine tower system, but there is a critical value of the amount of cement maximizing the property of the monopile. This research may be helpful in the design and safety evaluation of offshore wind turbines.

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References

  1. SAWYER, S., FRIED, L., SHUKLA, S., and QIAO, L. M. Global Wind Report 2016—Annual Market Update, Global Wind Energy Council, 10–13 (2017)

  2. TEMPEL, J. V. D. Design of Support Structures for Offshore Wind Turbines, Ph. D. dissertation, Delft University of Technology (2006)

  3. LOMBARDI, D., BHATTACHARYA, S., and DAVID, M. W. Dynamic soil structure interaction of monopile supported wind turbines in cohesive soil. Soil Dynamics and Earthquake Engineering, 49, 165–180 (2013)

    Article  Google Scholar 

  4. TEMPEL, J. and MOLENAAR, D. P. Wind turbine structural dynamics — a review of the principles for modern power generation, onshore and offshore. Wind Engineering, 26(4), 211–222 (2002)

    Article  Google Scholar 

  5. ADHIKARI, S. and BHATTACHARYA, S. Dynamic analysis of wind turbine towers on flexible foundations. Shock and Vibration, 19(1), 37–56 (2012)

    Article  Google Scholar 

  6. MURTAGH, P. J., BASU, B., and BRODERICK, B. Along-wind response of a wind turbine tower with blade coupling subjected to rotationally sampled wind loading. Engineering Structures, 27, 1209–1219 (2005)

    Article  Google Scholar 

  7. ARANY, L., BHATTACHARYA, S., MACDONALD, J., and HOGAN, S. Closed form solution of eigen frequency of monopile supported offshore wind turbines in deeper waters incorporating stiffness of substructure and SSI. Soil Dynamics and Earthquake Engineering, 83, 18–32 (2016)

    Article  Google Scholar 

  8. AI-SOLIHAT, M. K. and NAHON, M. Flexible multibody dynamic modeling of a floating wind turbine. International Journal of Mechanical Sciences, 142, 518–529 (2018)

    Article  Google Scholar 

  9. LAJIMI, S. and HEPPLER, G. Free vibration and buckling of cantilever beams under linearly varying axial load carrying an eccentric end rigid body. Transactions of the Canadian Society for Mechanical Engineering, 37(1), 89–110 (2013)

    Article  Google Scholar 

  10. USCILOWSKA, A. and KODZIEJ, J. Free vibration of immersed column carrying a tip mass. Journal of Sound and Vibration, 216(1), 147–157 (1998)

    Article  Google Scholar 

  11. SCHLØER, S., CASTILLO, L., FEJERSKOV, M., STROESCU, I., and BREDMOSE, H. A model for quick load analysis for monopile-type offshore wind turbine substructures. Wind Energy Science, 3, 57–73 (2018)

    Article  Google Scholar 

  12. CHEN, L. and BASU, B. Fatigue load estimation of a spar-type floating offshore wind turbine considering wave-current interactions. International Journal of Fatigue, 116, 421–428 (2018)

    Article  Google Scholar 

  13. MCCLELLAND, B. and FOCHT, J. A. Soil modulus for laterally loaded piles. Journal of the Soil Mechanics and Foundations Division, 82(4), 1–22 (1956)

    Google Scholar 

  14. ANDERSEN, L., VAHDATIRAD, M., SICHANI, M., and SØRENSEN, J. Natural frequencies of wind turbines on monopile foundations in clayey soils — a probabilistic approach. Computers and Geotechnics, 43, 1–11 (2012)

    Article  Google Scholar 

  15. BISOI, S. and HALDAR, S. Dynamic analysis of offshore wind turbine in clay considering soil-monopile-tower interaction. Soil Dynamics and Earthquake Engineering, 63, 19–35 (2014)

    Article  Google Scholar 

  16. BANERJEE, A., CHAKRABORTY, T., and MATSAGAR, V. Stochastic dynamic analysis of an offshore wind turbine considering frequency-dependent soil-structure interaction parameters. International Journal of Structural Stability and Dynamics, 18(6), 1850086 (2017)

    Article  MathSciNet  Google Scholar 

  17. CHENG, Y., XUE, Z., JIANG, T., WANG, W., and WANG, Y. Numerical simulation on dynamic response of flexible multibody tower blade coupling in large wind turbine. Energy, 152, 601–612 (2018)

    Article  Google Scholar 

  18. KANG, N., PARK, S. C., PARK, J., and ATLURI, S. N. Dynamics of flexible tower-blade and rigid nacelle system: dynamic in stability due to their interactions in wind turbine. Journal of Vibration and Control, 22(3), 826–836 (2014)

    Article  Google Scholar 

  19. DAMGAARD, M., IBSEN, L. B., ANDERSEN, L. V., and ANDERSEN, J. K. Cross-wind modal properties of offshore wind turbines identified by full scale testing. Journal of Wind Engineering and Industrial Aerodynamics, 116, 94–108 (2013)

    Article  Google Scholar 

  20. ZAAIJER, M. B. Foundation modelling to assess dynamic behaviour of offshore wind turbines. Applied Ocean Research, 28(1), 45–57 (2006)

    Article  Google Scholar 

  21. ZHANG, J. P., GONG, Z., GUO, L., and WU, H. Analysis of mode and dynamic stability for wind turbine rotating blades. Journal of Offshore Mechanics and Arctic Engineering, 140(5), 051902 (2018)

    Article  Google Scholar 

  22. ZUO, H., BI, K., and HAO, H. Dynamic analyses of operating offshore wind turbines including soil-structure interaction. Engineering Structures, 157, 42–62 (2018)

    Article  Google Scholar 

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering, School of Mechanics and Engineering Science, Shanghai University, Shanghai, 200072, China

    Guanzhong Liu & Xingming Guo

  2. School of Mathematics and Computational Sciences, Xiangtan University, Xiangtan, 411105, Hunan Province, China

    Li Zhu

Authors
  1. Guanzhong Liu
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  2. Xingming Guo
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  3. Li Zhu
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Corresponding author

Correspondence to Xingming Guo.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11872233, 11727804, and 11472163), the National Key Basic Research Project of China (No. 2014CB046203), and the Innovation Program of Shanghai Municipal Education Commission (No. 2017-01-07-00-09-E00019)

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Liu, G., Guo, X. & Zhu, L. Dynamic analysis of wind turbine tower structures in complex ocean environment. Appl. Math. Mech.-Engl. Ed. 41, 999–1010 (2020). https://doi.org/10.1007/s10483-020-2624-8

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  • DOI: https://doi.org/10.1007/s10483-020-2624-8

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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