陆上风电钢-混凝土混合塔架结构振动频率快速计算方法

RAPID CALCULATION METHOD FOR VIBRATION FREQUENCY OF ONSHORE WIND TURBINE STEEL-CONCRETE HYBRID TOWERS

  • 摘要: 振动频率是风电结构设计的主要控制因素之一。为了在设计阶段快速获得陆上风电钢-混凝土混合塔架的第一阶振动频率,该文基于Rayleigh能量法,提出了混塔结构振动频率的快速计算方法。该方法通过假设结构挠曲形状,建立了混塔结构的广义单自由度体系运动方程,以此推导出一阶振动频率计算公式。通过构建混塔结构的参数化模型,研究了混凝土塔段高度占比、弹性模量等参数对塔架挠曲形状的影响规律,利用210个不同参数的混塔模型位移数据拟合出了适用于混塔结构的形状函数。所提出方法的计算结果与有限元分析结果的相对误差小于2%,与真实塔架的实测自振基频相比相对误差小于4%,表明了所提出的钢-混凝土混合塔架自振基频计算公式具有较高的精度,可以为混塔塔架的设计提供支撑。

     

    Abstract: The vibration frequency is one of the key control factors in the structural design of wind turbines. To quickly obtain the first-order vibration frequency of onshore wind turbine steel-concrete hybrid towers during the design phase, this paper proposes a rapid calculation method for the vibration frequency of hybrid tower structures based on the Rayleigh energy method. By assuming the structural deflection shape, a generalized single-degree-of-freedom system motion equation for the hybrid tower structure is established, from which the first-order vibration frequency calculation formula is derived. Through the construction of a parametric model for hybrid tower structures, the influence of parameters such as the height ratio of the concrete tower section and elastic modulus on the tower's deflection shape is investigated. Using displacement data from 210 hybrid tower models with varying parameters, a shape function suitable for hybrid tower structures is fitted. The calculation results of the method proposed exhibit a relative error of less than 2% compared to finite element analysis results, and a relative error of less than 4% compared to measured natural fundamental frequencies of actual towers. These findings demonstrate that the formula proposed for calculating the natural fundamental frequency of steel-concrete hybrid towers offers high accuracy and can provide a reliable support for the design of hybrid tower structures.

     

/

返回文章
返回