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Nonlinear dynamics of a wind turbine tower

  • A. Gesualdo
  • A. Iannuzzo
  • F. Penta
  • M. Monaco
Research Article
  • 6 Downloads

Abstract

The recent proliferation of wind turbines has revealed problems in their vulnerability under different site conditions, as evidenced by recent collapses of wind towers after severe actions. Analyses of structures subjected to variable actions can be conducted through several methods with different accuracy levels. Nonlinear dynamics is the most reliable among such methods. This study develops a numerical procedure to obtain approximate solutions for rigid-plastic responses of structures subjected to base harmonic pulses. The procedure’s model is applied to a wind turbine tower subjected to inertial forces generated by harmonic ground acceleration, and failure is assumed to depend on the formation of shear hinges. The proposed approach provides an efficient representation of the post-elastic behavior of the structure, has a low computational cost and high effectiveness, and uses a limited number of mechanical parameters.

Keywords

nonlinear dynamics plastic shear failure modal approximation time history 

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References

  1. 1.
    Wen B, Wei S, Wei K, et al. Power fluctuation and power loss of wind turbines due to wind shear and tower shadow. Frontiers of Mechanical Engineering, 2017, 12(3): 321–332CrossRefGoogle Scholar
  2. 2.
    Chen S, Li Q, Liu Y, et al. Dynamic elastoplastic analysis using the meshless local natural neighbor interpolation method. International Journal of Computational Methods, 2011, 8(3): 463–481MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Bonavolontà C, Peluso G, Valentino M, et al. Detection of magnetomechanical effect in structural steel using SQUIDs and flux-gate sensors. Journal of Superconductivity and Novel Magnetism, 2009, 22(8): 833–839CrossRefGoogle Scholar
  4. 4.
    Schubak R B, Anderson D L, Olson M D. Simplified dynamic analysis of rigid-plastic beams. International Journal of Impact Engineering, 1989, 8(1): 27–42CrossRefGoogle Scholar
  5. 5.
    Gesualdo A, Monaco M. Constitutive behaviour of quasi-brittle materials with anisotropic friction. Latin American Journal of Solids and Structures, 2015, 12(4): 695–710CrossRefGoogle Scholar
  6. 6.
    Fraldi M, Gesualdo A, Guarracino F. Influence of actual plastic hinge placement on the behavior of ductile frames. Journal of Zhejiang University. Science A, 2014, 15(7): 482–495Google Scholar
  7. 7.
    Cennamo C, Gesualdo A, Monaco M. Shear plastic constitutive behaviour for near-fault ground motion. Journal of Engineering Mechanics, 2017, 143(9): 04017086CrossRefGoogle Scholar
  8. 8.
    Málaga-Chuquitaype C, Elghazouli A Y, Bento R. Rigid-plastic models for the seismic design and assessment of steel framed structures. Earthquake Engineering & Structural Dynamics, 2009, 38(14): 1609–1630CrossRefGoogle Scholar
  9. 9.
    Nonaka T. Shear and bending response of a rigid-plastic beam to blast-type loading. Ingenieur-Archiv, 1977, 46(1): 35–52CrossRefGoogle Scholar
  10. 10.
    Li Q M, Meng H. Pulse loading shape effects on pressure-impulse diagram of an elastic-plastic, single-degree-of-freedom structural model. International Journal of Mechanical Sciences, 2002, 44(9): 1985–1998CrossRefzbMATHGoogle Scholar
  11. 11.
    Symonds P S, Fleming W T J Jr. Parkes revisited: On rigid-plastic and elastic-plastic dynamic structural analysis. International Journal of Impact Engineering, 1984, 2(1): 1–36CrossRefGoogle Scholar
  12. 12.
    Liang M T, Lee B J, Yang S S. On the rigid ideally plastic deformation of cantilever beam subjected to tip impact. Journal of Marine Science and Technology, 1997, 5(1): 39–46Google Scholar
  13. 13.
    Smith D L, Sahlit C L. Dynamic response of pulse loaded structures as a linear complementarity problem. Engineering Optimization, 1991, 18(1–3): 23–41CrossRefGoogle Scholar
  14. 14.
    Khan A, Smith D L, Izzuddin B A. Investigation of rigid-plastic beams subjected to impact using linear complementarity. Engineering Structures, 2013, 50: 137–148CrossRefGoogle Scholar
  15. 15.
    Wang R Z, Tsai K C, Lin B Z. Extremely large displacement dynamic analysis of elastic-plastic plane frames. Earthquake Engineering & Structural Dynamics, 2011, 40(13): 1515–1533CrossRefGoogle Scholar
  16. 16.
    Li Q M. Continuity conditions at bending and shearing interfaces of rigid, perfectly plastic structural elements. International Journal of Solids and Structures, 2000, 37(27): 3651–3665CrossRefzbMATHGoogle Scholar
  17. 17.
    Chierchiello G, Gesualdo A, Iannuzzo A, et al. Structural modeling and conservation of single columns in archaeological areas. In: Proceedings of the XIV International Forum ‘Le vie dei mercanti’. Napoli, 2015, 2012–2020Google Scholar
  18. 18.
    Gesualdo A, Iannuzzo A, Penta F, et al. Homogenization of a Vierendeel girder with elastic joints into an equivalent polar beam. Journal of Mechanics of Materials and Structures, 2017, 12(4): 485–504MathSciNetCrossRefGoogle Scholar
  19. 19.
    Penta F, Monaco M, Pucillo G P, et al. Periodic beam-like structures homogenization by transfer matrix eigen-analysis: A direct approach. Mechanics Research Communications, 2017, 85: 81–88CrossRefGoogle Scholar
  20. 20.
    Paglietti A, Porcu M C. Rigid-plastic approximation to predict plastic motion under strong earthquakes. Earthquake Engineering & Structural Dynamics, 2001, 30(1): 115–126CrossRefGoogle Scholar
  21. 21.
    Ren Y T, Qiu X M, Yu T X. The sensitivity analysis of a geometrically unstable structure under various pulse loading. International Journal of Impact Engineering, 2014, 70: 62–72CrossRefGoogle Scholar
  22. 22.
    Monaco M, Guadagnuolo M, Gesualdo A. The role of friction in the seismic risk mitigation of freestanding art objects. Natural Hazards, 2014, 73(2): 389–402CrossRefGoogle Scholar
  23. 23.
    Gesualdo A, Iannuzzo A, Monaco M, et al. Rocking of a rigid block freestanding on a flat pedestal. Journal of Zhejiang University. Science A, 2018, 19(5): 331–345CrossRefGoogle Scholar
  24. 24.
    Vassiliou M S, Makris N. Estimating time scales and length scales in pulselike earthquake acceleration records with wavelet analysis. Bulletin of the Seismological Society of America, 2011, 101(2): 596–618CrossRefGoogle Scholar
  25. 25.
    Makris N, Vassiliou M S. Planar rocking response and stability analysis of an array of free-standing columns capped with a freely supported rigid beam. Earthquake Engineering & Structural Dynamics, 2013, 42(3): 431–449CrossRefGoogle Scholar
  26. 26.
    Li S, Zhai C, Xie L L. Analysis on response of dynamic systems to pulse sequences excitation. International Journal of Advanced Structural Engineering, 2009, 1(1): 3–15Google Scholar
  27. 27.
    Mylonakis G, Voyagaki E. Yielding oscillator subjected to simple pulse waveforms: Numerical analysis and closed-form solutions. Earthquake Engineering & Structural Dynamics, 2006, 35(15): 1949–1974CrossRefGoogle Scholar
  28. 28.
    Gesualdo A, Iannuzzo A, Monaco M, et al. Dynamic analysis offreestanding rigid blocks. In: Proceedings of the 12th International Conference on Computational Structures Technology. Kippen: Civil Comp Press, 2014, 106Google Scholar
  29. 29.
    Gesualdo A, Iannuzzo A, Modano M, et al. Dynamic behaviour of two stacked rigid blocks. In: Proceedings of the 23rd Conference of the Italian Association of Theoretical and Applied Mechanics. 2017, 4: 778–791Google Scholar
  30. 30.
    Mavroeidis G P, Papageorgiou A S. A mathematical representation of near-fault ground motions. Bulletin of the Seismological Society of America, 2003, 93(3): 1099–1131CrossRefGoogle Scholar
  31. 31.
    Augusti G. Rigid-plastic structures subject to dynamic loads. Meccanica, 1970, 5(2): 74–84CrossRefGoogle Scholar
  32. 32.
    Bergamasco I, Gesualdo A, Iannuzzo A, et al. An integrated approach to the conservation of the roofing structures in the Pompeian Domus. Journal of Cultural Heritage, 2018, 31: 141–151CrossRefGoogle Scholar
  33. 33.
    Guadagnuolo M, Monaco M. Out of plane behaviour of unreinforced masonry walls. In: Proceedings of International Conference on Protection of Historical Buildings. Rome: CRC Press, 2009, 2: 1177–1180Google Scholar
  34. 34.
    Martin J B. The determination of mode shapes for dynamically loaded rigid-plastic structures. Meccanica, 1981, 16(1): 42–45CrossRefzbMATHGoogle Scholar
  35. 35.
    Martin J B. A displacement bound principle for inelastic continua subjected to certain classes of dynamic loading. Journal of Applied Mechanics, 1965, 32(1): 1–6MathSciNetCrossRefGoogle Scholar
  36. 36.
    Veljkovic M, Heistermann C, Husson W, et al. High-strength Tower in Steel for Wind Turbines (HISTWIN). Final Report—RFSR-CT-2006–00031. Brussels: European Commission (RFCS). 2012Google Scholar

Copyright information

© Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Structures for Engineering and ArchitectureUniversity of Naples “Federico II”NaplesItaly
  2. 2.Department of Industrial EngineeringUniversity of Naples “Federico II”NaplesItaly
  3. 3.Department of Architecture and Industrial DesignUniversity of Campania “Luigi Vanvitelli”Aversa (Ce)Italy

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