基于Rayleigh法的风机塔筒预应力基本频率解析计算方法

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (10) : 23-29.

论文

雷振博1，刘纲1,2，杨微3,4，李杨3,4

作者信息 +

Analytical calculation method for the pre-stress basic frequency of wind turbine towers based on Rayleigh method

LEI Zhenbo1，LIU Gang1,2，YANG Wei3,4，LI Yang3,4

Author information +

文章历史 +

摘要

风机大型化发展趋势使塔筒高度更高、柔性更大，塔筒直径及壁厚随高度变化更加多样，使得传统简化基频解析计算方法计算精度大幅下降，较难满足塔筒设计前期基频估算要求。引入等效壁厚、平均等效当量惯性矩考虑塔筒直径和壁厚沿高度的多种变化情况，简化塔筒刚度计算；基于Rayleigh能量法基本原理，考虑风轮和机舱质量对塔筒预压应力、质量偏心以及塔筒不同变形形式对基频计算的影响，提出了相应的塔筒基频解析计算方法。塔筒数值算例和实验室缩尺试验表明，顶部机舱、叶轮质量偏心对塔筒基频影响较大，解析计算时应考虑其影响；均布荷载变形下的塔筒基频解析值更接近真实值；所提解析法与精细化有限元模型计算值的偏差小于4%，与缩尺模型实测值的偏差小于5%。

Abstract

The large-scale development trend of wind turbines makes the tower taller and more flexible, and the diameter and wall thickness of the tower become more and more various with height. Therefore, the calculation accuracy of the traditional simplified fundamental frequency analytical calculation method is greatly reduced, and it is difficult to meet the requirements of the fundamental frequency estimation in the early stage of tower design. In this paper, the equivalent wall thickness and average equivalent moment of inertia are proposed to consider the various changes in tower diameter and wall thickness along the height, so as to simplify the calculation of tower stiffness. Based on the basic principle of Rayleigh energy method, considering the influence of wind turbine and nacelle mass on tower pre-compression stress, mass eccentricity and different deformation forms of tower on fundamental frequency calculation, this paper proposes a corresponding analytical calculation method for fundamental frequency of tower. The numerical example of the tower and the scale test show that the eccentricity of the top nacelle and impeller mass has a great influence on the fundamental frequency of the tower, and its influence should be considered in the analytical calculation. The analytical value of the tower fundamental frequency under uniform load deformation is closer to the true value. The deviation between the proposed analytical method and the calculated value of the refined finite element model is less than 4%, and the deviation from the measured value of the scale model is less than 5%.

导出引用

雷振博1，刘纲1,2，杨微3,4，李杨3,4. 基于Rayleigh法的风机塔筒预应力基本频率解析计算方法[J]. 振动与冲击, 2022, 41(10): 23-29

LEI Zhenbo1，LIU Gang1,2，YANG Wei3,4，LI Yang3,4. Analytical calculation method for the pre-stress basic frequency of wind turbine towers based on Rayleigh method[J]. Journal of Vibration and Shock, 2022, 41(10): 23-29

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