水平轴风力机叶片的弯扭耦合气弹稳定性研究

任勇生;张明辉

振动与冲击 ›› 2010, Vol. 29 ›› Issue (7) : 196-200.

PDF(1235 KB)
PDF(1235 KB)
振动与冲击 ›› 2010, Vol. 29 ›› Issue (7) : 196-200.
论文

水平轴风力机叶片的弯扭耦合气弹稳定性研究

  • 任勇生;张明辉
作者信息 +

Aeroelastic stability of elastic bending-torsion horizontal axis wind turbine blade

  • REN Yong-sheng;ZHANG Ming-hui
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文章历史 +

摘要

本文研究水平轴风力机叶片的经典颤振稳定性特性。在导出质量刚度均匀分布的旋转的挥舞/摆振/扭转叶片的耦合振动偏微分方程组基础上,引入扩展的Theodorsen模型描述非定常气动力的作用。联合采用Galerkin法、特征值法和时间域积分法对所建立的叶片气弹模型进行求解。通过数值分析获得叶片的挥舞弯曲模态、摆振弯曲模态和扭转变形模态的根轨迹曲线,分析了叶片面内刚度、扭转刚度和预锥角对叶片气弹稳定性的影响。特征值法稳定性的计算结果的精确度和可靠性通过分析模态展开式中模态截断个数N对颤振边界收敛性的影响,得到验证。稳定性分析的时间域数值积分结果的一致性进一步说明特征值法稳定性计算结果正确性。

Abstract

The linear stability characteristics of flap-lag-torsion horizontal axis wind turbine blade are investigated. The partial differential equations of elastic rotating cantilever blade subjected to combined flap/lead-lag/torsion motion are obtained. The aerodynamic forces are introduced from extensive Theodorsen's theory based on a quasi-steady approximation. Galerkin's method together with eigenvalue analysis and time integration are used for stability analysis. The locus of roots of flap-lead,lag and torsion fundamental mode with increasing wind speed are obtained. The effects of inplane configurations, torsion natural frequency and precone angle on the aeroelastic stability o f the blade are shown. The effect of the number of mode shapes on accuracy and convergence is also examined. Finally, the results based on eigenvalue analysis is compared with the time simulations of deflections of the blade.

关键词

气弹性 / 风力机叶片 / 旋转梁 / 结构动力学 / 颤振

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任勇生;张明辉. 水平轴风力机叶片的弯扭耦合气弹稳定性研究 [J]. 振动与冲击, 2010, 29(7): 196-200
REN Yong-sheng;ZHANG Ming-hui. Aeroelastic stability of elastic bending-torsion horizontal axis wind turbine blade[J]. Journal of Vibration and Shock, 2010, 29(7): 196-200

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