档端横向激励下架空导线的振幅响应特性

Amplitude Response of Overhead Conductors Subjected toTransverse Excitation

以架空导线为研究对象,将铁塔振动对导线振动的作用机理简化为导线的端部位移激励。为掌握架空导线档端横向激励对线路振动的影响机制,建立有界张紧弦在正弦移动边界条件下的横向振动线性模型,基于模型的稳态共振解,构建系统阻尼、激励频率与响应的动态关系图,发展系统振幅响应的理论模型,提出档端横向位移激励下架空导线振幅响应的放大效应及其控制参数的表达形式,讨论控制参数对导线风致振动问题的影响规律。研究表明:即使档端的运动幅值很小,也不能忽略其对线路振动的影响,尤其是控制参数较小时,会对导线的振幅形成显著的放大效应。该结果为架空导线风致振动的控制和预测研究提供了一定的理论参考。

This paper was intended for the control and forecasting of wind-induced vibration of overhead conductor. The influence mechanism of tower vibration on conductor vibration was simplified as the end displacement excitation of conductor. We established a linear model for the transverse vibration of the bounded tension string under the sine moving boundary condition to understand the influence of the support excitation of overhead conductor on line vibration. Based on the model’s steady state response solution,we analyzed the dynamic relation of amplitude response with different damping and frequency ration and developed a theoretical model for system amplitude response. The amplification effect of the amplitude response of overhead conductor and the expression of its control parameters under the support excitation were proposed,and the influence of control parameters on wind-induced vibration of conductor was discussed. The results show that even if the motion amplitude of the support end is very small,its influence on the line vibration should not be ignored. When the values of control parameters are low,the amplitude of conductor will be amplified significantly. The results provide an important theoretical reference for the control and prediction of wind-induced vibration of overhead conductor.