Skip to main content

Advertisement

SpringerLink
Log in

The nonlinear behavior of prestressed tuned mass damper for vibration control of wind turbine towers

  • Original paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

Large capacity wind turbine towers with low natural frequency and low damping are subjected to resonance from wind action in its environment; thus, tuned mass dampers (TMD) are usually utilized to mitigate excessive vibrations. A novel prestressed tuned mass damper (PS-TMD) has been proposed by authors in previous work, and its vibration suppression performance has been verified under linear condition by simulations and tests. Since the pendulum and bottom cable of the PS-TMD are flexible, the additional deformation induced by these flexible cables will trigger nonlinear stiffness effect. To achieve the more accurate parameters design and optimal vibration control, the nonlinearities in the PS-TMD from the flexible cable deformation are explored in this paper. The mathematical model of the WTT with the nonlinear PS-TMD system is derived. The dynamic coefficient is obtained with the harmonic balance method, and different influential parameters affecting the performances of the WTT are discussed. Numerical simulation on vibration suppression of the WTT under both harmonic and wind excitations shows that the nonlinear PS-TMD is capable of providing smooth and excellent vibration suppression over a wide frequency range than the WTT with linear PS-TMD.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

Data availability

Some or all data, models, or code that supports the findings of this study is available from the corresponding author upon reasonable request.

References

  1. Laface, V., et al.: A two-degree-of-freedom tuned mass damper for offshore wind turbines on floating spar supports. Mar. Struct. 83, 103146 (2022)

    Article  Google Scholar 

  2. Zuo, H., Bi, K., Hao, H.: A state-of-the-art review on the vibration mitigation of wind turbines. Renew. Sustain. Energy Rev. 121(3), 109710–109710 (2020)

    Article  Google Scholar 

  3. Cai, Q., Zhu, S.: The nexus between vibration-based energy harvesting and structural vibration control: a comprehensive review. Renew. Sustain. Energy Rev. 155, 111920 (2022)

    Article  Google Scholar 

  4. Fitzgerald, B., Basu, B.: Vibration control of wind turbines: recent advances and emerging trends. Int. J. Sustain. Mater. Struct. Syst. 4(2–4), 347–372 (2020)

    Google Scholar 

  5. Liu, H., et al.: Vibration reduction strategy for offshore wind turbines. Appl. Sci. 10(17), 6091–6091 (2020)

    Article  Google Scholar 

  6. Jahangiri, V., Sun, C., Kong, F.: Study on a 3D pounding pendulum TMD for mitigating bi-directional vibration of offshore wind turbines. Eng. Struct. 241, 112383 (2021)

    Article  Google Scholar 

  7. Colherinhas, G.B., et al.: Optimal pendulum tuned mass damper design applied to high towers using genetic algorithms: two-DOF modeling. Int. J. Struct. Stab. Dyn. 19(10), 17 (2019). https://doi.org/10.1142/S0219455419501256

    Article  MathSciNet  Google Scholar 

  8. Bertollucci Colherinhas, G., Petrini, F., de Morais, M.V.G., et al.: Optimal design of passive-adaptive pendulum tuned mass damper for the global vibration control of offshore wind turbines. Wind Energy 24, 573–595 (2021)

    Article  Google Scholar 

  9. Sun, C., Nagarajaiah, S., Dick, A.J.: Experimental investigation of vibration attenuation using nonlinear tuned mass damper and pendulum tuned mass damper in parallel. Nonlinear Dyn. 78(4), 2699–2715 (2014)

    Article  Google Scholar 

  10. Zhang, T., Li, L.: Analytical analysis for optimizing mass ratio of nonlinear tuned mass dampers. Nonlinear Dyn. 106(3), 1–20 (2021)

    Article  Google Scholar 

  11. Brzeski, P., Perlikowski, P.: Effects of play and inerter nonlinearities on the performance of tuned mass damper. Nonlinear Dyn. 88(2), 1027–1041 (2017)

    Article  Google Scholar 

  12. Banerjee, S., Ghosh, A., Matsagar, V.A.: Optimum design of nonlinear tuned mass damper for dynamic response control under earthquake and wind excitations. Struct. Control Health Monit. (2022). https://doi.org/10.1002/stc.2960

    Article  Google Scholar 

  13. Chapain, S., Aly, A.M.: Vibration attenuation in wind turbines: a proposed robust pendulum pounding TMD. Eng. Struct. 233, 111891 (2021)

    Article  Google Scholar 

  14. Jahangiri, V., Sun, C.: A novel three dimensional nonlinear tuned mass damper and its application in floating offshore wind turbines. Ocean Eng. 250, 110703 (2022)

    Article  Google Scholar 

  15. Liu, G., Lei, Z., Wang, H.: Investigation and optimization of a pre-stressed tuned mass damper for wind turbine tower. Struct. Control Health Monit. (2021). https://doi.org/10.1002/stc.2894

    Article  Google Scholar 

  16. Zhang, Z.: Optimal tuning of the tuned mass damper (TMD) for rotating wind turbine blades. Eng. Struct. 207, 110209 (2020)

    Article  Google Scholar 

  17. Chen, J., Georgakis, C.T.: Tuned rolling-ball dampers for vibration control in wind turbines. J. Sound Vib. 332(21), 5271–5282 (2013)

    Article  Google Scholar 

  18. Zuo, H., Bi, K., Hao, H.: Mitigation of tower and out-of-plane blade vibrations of offshore monopile wind turbines by using multiple tuned mass dampers. Struct. Infrastruct. Eng. Maint. Manag. Life Cycle Des. Perform. 15, 1–16 (2019)

    Google Scholar 

  19. Dai, K., Huang, H., Lu, Y., et al.: Effects of soil–structure interaction on the design of tuned mass damper to control the seismic response of wind turbine towers with gravity base. Wind Energy (2020). https://doi.org/10.1002/we.2576

    Article  Google Scholar 

  20. Pietrosanti, D., De Angelis, M., Basili, M.: A generalized 2-DOF model for optimal design of MDOF structures controlled by tuned mass damper inerter (TMDI). Int. J. Mech. Sci. 185, 105849 (2020)

    Article  Google Scholar 

  21. Rahman, M., et al.: Performance enhancement of wind turbine systems with vibration control: a review. Renew. Sustain. Energy Rev. 51, 43–54 (2015)

    Article  Google Scholar 

  22. Xu, K., Hua, X., et al.: Exploration of the nonlinear effect of pendulum tuned mass dampers on vibration control. J. Eng. Mech. (2021). https://doi.org/10.1061/(ASCE)EM.1943-7889.0001961

    Article  Google Scholar 

  23. da Costa, M.M.A., et al.: On the optimal design and robustness of spatially distributed tuned mass dampers. Mech. Syst. Signal Process. 150, 107289 (2021)

    Article  Google Scholar 

  24. Ma, K., Du, J., Liu, Y.: Nonlinear dynamic behavior analysis of closed-loop self-excited crankshaft model using improved Newmark-β method. Nonlinear Dyn. 111(6), 5107 (2022)

    Article  Google Scholar 

  25. Yang, Y., Bashir, M., Li, C., Michailides, C., Wang, J.: Mitigation of coupled wind-wave-earthquake responses of a 10 MW fixed-bottom offshore wind turbine. Renew. Energy 157, 1171 (2020)

    Article  Google Scholar 

  26. Sun, B., Zhang, Y., Dai, D., Wang, L., Ou, J.: Seismic fragility analysis of a large-scale frame structure with local nonlinearities using an efficient reduced-order Newton–Raphson method. Soil Dyn. Earthq. Eng. 164, 107559 (2023)

    Article  Google Scholar 

Download references

Acknowledgements

This research was funded by the Fundamental Research Funds for the National Natural Science Foundation of China (52078084), the National Natural Science Foundation of Chongqing (cstc2021jcyj-msxmX0623), and the 111 project of the Ministry of Education and the Bureau of Foreign Experts of China (Grant No. B18062).

Author information

Authors and Affiliations

  1. Chongqing Key Laboratory of Wind Engineering and Wind Energy Utilization, Chongqing University, Chongqing, 400045, China

    Gang Liu, S. S. Law & Qingshan Yang

  2. School of Civil Engineering, Chongqing University, Chongqing, 400045, China

    Gang Liu, Zhenbo Lei, S. S. Law & Qingshan Yang

  3. Key Laboratory of New Technology for Construction of Cities in Mountain Area, Chongqing University, Ministry of Education, Chongqing, 400045, China

    Gang Liu

Authors
  1. Gang Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhenbo Lei
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. S. Law
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Qingshan Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhenbo Lei.

Ethics declarations

Conflict of interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, G., Lei, Z., Law, S.S. et al. The nonlinear behavior of prestressed tuned mass damper for vibration control of wind turbine towers. Nonlinear Dyn 111, 10939–10955 (2023). https://doi.org/10.1007/s11071-023-08434-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-023-08434-6

Keywords

Search

Navigation