NATURAL MODAL CALCULATION OF WIND TURBINE BLADE CONSIDERING COUPLING OF STRUCTURE MULTIPLE  DEGREES OF FREEDOM

Chang Ning; Dai Liping; Wu Sihang; Li Shixuan

doi:10.19912/j.0254-0096.tynxb.2025-0507

PDF(1274 KB)

Acta Energiae Solaris Sinica ›› 2026, Vol. 47 ›› Issue (8) : 638-645. DOI: 10.19912/j.0254-0096.tynxb.2025-0507

NATURAL MODAL CALCULATION OF WIND TURBINE BLADE CONSIDERING COUPLING OF STRUCTURE MULTIPLE DEGREES OF FREEDOM

Chang Ning, Dai Liping, Wu Sihang, Li Shixuan

Author information +

History +

Abstract

In order to explore the mechanism of structural coupling on vibration characters of wind turbine blades, a free vibration equation of NREL-5 MW wind turbine blade is derived based on Euler-Bernoulli beam theory, and the effects of shear effect, bend-twist coupling, flap-lag coupling and axial-flexural coupling on the natural modes of the blades are analyzed. The results show that the shear effect decreases the flapwise and edgewise natural frequency, and the second flapwise frequency and the second edgewise frequency decrease by 4.7% and 1% separately. Affected by bend-twist coupling, the bending frequency decreases and the torsional frequency increases, and the effect is more notable for high order natural mode. The effect of the flap-lag coupling on edgewise vibration frequency is greater than that on flapwise, and the effect of the axial-flexural coupling is the least for edgewise and flapwise natural frequency. In terms of vibration modes, both bend-twist coupling and axial-flexural have little influence on the low order vibration modes, and the flap-lag coupling is the main reason for the obvious coupling of the bending vibration modes.

Key words

wind turbines / wind turbine blades / structural analysis / natural frequencies / beam model / bend-twist coupling / flap-lag coupling

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

Chang Ning, Dai Liping, Wu Sihang, Li Shixuan. NATURAL MODAL CALCULATION OF WIND TURBINE BLADE CONSIDERING COUPLING OF STRUCTURE MULTIPLE DEGREES OF FREEDOM[J]. Acta Energiae Solaris Sinica. 2026, 47(8): 638-645 https://doi.org/10.19912/j.0254-0096.tynxb.2025-0507

References

[1] 李文超, 李学敏, 赵朋. 基于弯扭耦合的风力机叶片结构研究[J]. 科学技术创新, 2021(3): 139-141.
Li W C, Li X M, Zhao P.Research on wind turbine blade structure based on bending and torsion coupling[J]. Scientific and Technological Innovation, 2021(3): 139-141.
[2] Zhou J W, Wen S R, Li F M, et al.Coupled bending and torsional vibrations of non-uniform thin-walled beams by the transfer differential transform method and experiments[J]. Thin-Walled Structures, 2018, 127: 373-388.
[3] Stäblein A R, Hansen M H, Pirrung G.Fundamental aeroelastic properties of a bend-twist coupled blade section[J]. Journal of Fluids and Structures, 2017, 68: 72-89.
[4] 曲珍壮, 夏鸿建, 李德源, 等. 弯扭耦合对风力机叶片气弹模态特性的影响[J]. 新能源进展, 2023, 11(4): 333-339.
Qu Z Z, Xia H J, Li D Y, et al.Effect of bending-torsion coupling on aeroelastic modal characteristics of wind turbine blades[J]. Advances in New and Renewable Enengy, 2023, 11(4): 333-339.
[5] 罗涛, 巫发明, 黄剑锋, 等. 弯扭耦合长柔叶片颤振速度分析[J]. 太阳能学报, 2024, 45(3): 90-94.
Luo T, Wu F M, Huang J F, et al.Flutter speed analysis of bend-twist coupled long flexible blade[J]. Acta Energiae Solaris Sinica, 2024, 45(3): 90-94.
[6] 黎浩, 夏鸿建, 李德源, 等. 基于协同仿真的后掠型风力机气弹响应分析[J]. 太阳能学报, 2023, 44(7): 447-455.
Li H, Xia H J, Li D Y, et al.Aerodynamic response analysis of back-swept wind turbine based on co-simulation[J]. Acta Energiae Solaris Sinica, 2023, 44(7): 447-455.
[7] 王海生, 缪维跑, 张立, 等. 基于主梁腹板构型的大型风力机弯扭耦合叶片结构性能研究[J]. 太阳能学报, 2023, 44(3): 29-38.
Wang H S, Miao W P, Zhang L, et al.Research on main girder web configuration of bend-twist coupling blade of large wind turbine with composite laying[J]. Acta Energiae Solaris Sinica, 2023, 44(3): 29-38.
[8] 付凌峰, 姜鑫, 孙震, 等. 碳/玻混杂纤维铺层结构对风力机叶片弯扭耦合特性的影响[J]. 复合材料学报, 2023, 40(7): 3912-3920.
Fu L F, Jiang X, Sun Z, et al.Influence of carbon/glass hybrid fiber layup structure on the bending-twisting coupling behavior of wind turbine blades[J]. Acta Materiae Compositae Sinica, 2023, 40(7): 3912-3920.
[9] Bagherpour T, Li X M, Manolas D I, et al.Modeling of material bend-twist coupling on wind turbine blades[J]. Composite Structures, 2018, 193: 237-246.
[10] 冯云凌, 夏鸿建, 李德源, 等. 风力机后掠式叶片的弯扭耦合特性分析[J]. 太阳能学报, 2020, 41(11): 220-227.
Feng Y L, Xia H J, Li D Y, et al.Bend-twist coupling analysis for back-swept wind turbine blades[J]. Acta Energiae Solaris Sinica, 2020, 41(11): 220-227.
[11] 陈刚, 陈进, 庞晓平. 水平轴风力机叶片挥摆耦合气弹响应分析[J]. 太阳能学报, 2020, 41(5): 70-76.
Chen G, Chen J, Pang X P.Analysis on bending-bending coupled aeroelastic response of horizontal axiswind turbine blades[J]. Acta Energiae Solaris Sinica, 2020, 41(5): 70-76.
[12] 周经纬. 水平轴风力发电机叶片叶轮系统的动力学与控制[D]. 北京: 北京工业大学, 2020.
Zhou J W.Dynamics and vibration control of a horizontal axis wind turbine blade and rotor[D]. Beijing: Beijing University of Technology, 2020.
[13] 徐斌, 高跃飞, 余龙. MATLAB有限元结构动力学分析与工程应用[M]. 北京: 清华大学出版社, 2009.
Xu B, Gao Y F, Yu L.MATLAB finite element structural dynamics analysis and engineering applications[M]. Beijing: Tsinghua University Press, 2009.
[14] Jonkman J, Butterfield S, Musial W, et al.Definition of a 5 MW reference wind turbine for offshore system development[R]. NREL, 2009.