风电叶片主梁结构参数对剖面6×6刚度矩阵及气弹稳定性的影响研究

INFLUENCE OF SPAR STRUCTURAL PARAMETERS ON 6×6 SECTIONAL STIFFNESS MATRIX AND ON AEROELASTIC STABILITY OF WIND TURBINE BLADES

  • 摘要: 为揭示风电叶片主梁设计参数对剖面刚度特性及气弹稳定性的影响,本研究基于变分渐近法(VABS)建立了NREL 5MW叶片的高精度模型,计算了其沿展向27个剖面的完整6×6刚度矩阵,系统分析了主梁厚度与宽度对各刚度分量的影响规律。结果表明:主梁厚度增加10%可使轴向刚度K33平均提升约6.8%,而宽度增大至800 mm则使挥舞刚度K55平均提升约18%;在非对角项中,拉弯耦合K35对主梁厚度变化最为敏感,最大变化率达30%。进一步的气弹稳定性分析表明,拉弯耦合项K34是影响颤振稳定性的决定性因素,单独贡献约6.3%的临界转速裕度;完整6×6刚度矩阵模型较传统4×4模型稳定性提升约2.1%。本研究通过量化叶片主梁参数对剖面6×6刚度矩阵耦合项的影响规律,实现了主梁结构设计对叶片耦合刚度和气动弹性的快速调控,同时为考虑风电叶片刚度特性与气弹稳定性的结构优化提供了设计依据。

     

    Abstract: To elucidate the impact of spar design parameters on the sectional stiffness and on the aeroelastic stability of wind turbine blades, this study develops a high‑fidelity model of the NREL 5 MW blade using the Variational Asymptotic Method (VABS). The complete 6 × 6 stiffness matrices are computed for 27 spanwise sections, and the effects of spar thickness and width on each stiffness component are systematically evaluated. Research results indicate that: a 10 % increase in spar thickness raises the axial stiffness K33 by approximately 6.8 % on average, while widening the spar to 800 mm enhances the flapwise stiffness K55 by about 18 % on average. Among off‑diagonal terms, the tension‑bending coupling K35 shows the highest sensitivity to thickness variation, with a maximum change of 30 %. Subsequent aeroelastic stability analysis identifies the tension‑bending coupling term K34 as the decisive factor for the flutter stability, contributing solely about 6.3 % to the critical speed margin. The full 6 × 6 stiffness matrix model achieves roughly 2.1 % higher stability than that of the conventional 4 × 4 model. By quantifying how spar parameters govern the coupled stiffness terms, this study achieves the rapid regulation of the coupling stiffness and the aeroelasticity of the blade in the main beam structure design. At the same time, it provided a design basis for the structural optimization considering the stiffness characteristics and aeroelastic stability of wind turbine blades.

     

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