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Along-wind and cross-wind coupled nonlinear oscillations of wind turbine towers close to 1:1 internal resonance

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  • Lenci, Stefano

Abstract

An approximate analytical solution is obtained to detect the along-wind and cross-wind coupled oscillations of wind turbine towers, in the neighbourhood of a 1:1 internal resonance. The obtained formulas are general, and they are applied to the NREL 5-MW reference wind turbine. It is shown that the coupled solution is branched (by a pitchfork bifurcation) from the main uncoupled along-wind oscillation. The coupled motion is initially stable, but for increasing excitation amplitudes it becomes unstable in favour of quasi-periodic solutions, a fact that is particularly dangerous from a practical point of view and so must be avoided. The critical threshold is determined for varying excitation amplitude, and the analytical solution is checked by means of numerical simulations.

Suggested Citation

  • Lenci, Stefano, 2023. "Along-wind and cross-wind coupled nonlinear oscillations of wind turbine towers close to 1:1 internal resonance," Renewable and Sustainable Energy Reviews, Elsevier, vol. 187(C).
    • Handle: RePEc:eee:rensus:v:187:y:2023:i:c:s1364032123005555
    DOI: 10.1016/j.rser.2023.113698
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    References listed on IDEAS

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