【摘要】 为预防微风振动对输电线路的破坏、有别于传统的能量平衡法,研究了微风振动的半解析解。通过拉格朗日方程导出输电线的振动方程,利用风能输入函数构造了一种新的微风激励力模型,使用模态叠加法推导了输电线微风振动的半解析解,并根据振幅和曲率的关系得到了输电线动弯应变幅值沿输电线的分布规律。以1 000 kV交流特高压输电线路工程为例,通过对比计算,半解析解与传统的能量平衡法结果基本吻合。利用半解析解分析了微风振动的影响因素,为微风振动防护分析奠定基础。更多还原

【Abstract】 Differing from the traditional energy balance method(EBM),the aeolian vibration has been researched by the semi-analytical solution.First,the vibration equation of the conductor was obtained by Lagrangian’s equations.Second,a new aero-vibration force induced by shed vortex had been educed by wind power equivalent principle,and this force has the capability to account for the aero-vibration distribution and the wind power input which had been obtained in laboratory.Third,the displacement amplitude of conductor could be obtained based on the orthogonal property of the principal modes mathematically,and then semi-analytical solution could be computed by iterative methods.In addition,the distribution of dynamic bending strain along the conductor has been obtained.Taking 1000kV UHV transmission conductors as an example,the conductor was computed by the semi-analytical solution.Compared with the results which were computed by EBM,the semi-analytical solution is effective for aero-vibration analyses.In addition,influences of different factors,for instance,the tensile force,the suspension height,the physiognomy of pass through,span and the numbers of the sub conductors,had been analyzed by this method.更多还原