中文摘要：

覆冰导线舞动严重威胁输电线路的安全稳定运行，论文针对覆冰导线的大幅舞动问题，基于Hamilton原理建立了耦合三个平动自由度和一个扭转自由度以及偏心覆冰作用下导线的非线性舞动方程，提出了一种新的覆冰导线舞动分析非线性有限元模型，将相邻跨导线和绝缘子等效为线性弹簧单元，同时考虑覆冰导线非线性气动力和大幅舞动的几何非线性，采用Newmark-β时间积分结合修正的Newton—Raphson非线性迭代求解舞动有限元方程．论文数值解与D形覆冰导线舞动实测值无论在振幅还是频率方面均吻合得非常好，证明了论文新提出的导线舞动有限元模型的准确性．论文研究表明：舞动是一种以上下运动为主的低频振动，通常发生在一阶上下自振频率附近，其振幅和频率由输电线路的物理参数和风载荷唯一确定，与初始运动状态无关．通过与现有方法对比，论文在覆冰导线的舞动模型和气动力处理方面有较大的创新和改进，计算精度更高，效率较传统有限元法有显著提升，能为输电线路舞动研究和防舞抑舞控制提供一种新的方法与思路．

英文摘要：

The galloping of iced conductors is a serious threat to the secure and stable operation of the transmission line. In order to analyze the galloping characterized by large amplitude vibrations of iced conductors, this paper utilizes the Hamilton＇s principle to formulate the nonlinear galloping equations of iced conductors, which couple three translational and one torsional degrees of freedom and involve the influence of eccentric icing. A new nonlinear finite element model of iced conductors in which the adjacent conductor spans and insulator strings are represented by linear springs is established here. Taking into account the nonlinear aerodynamic forces and the geometric nonlinearity caused by large amplitude galloping, the authors adopt the Newmark-β time integration algorithm in conjunction with the modified Newton-Raphson nonlinear iteration strategy to solve those equations in the finite element formulation. The numerical solu tions of both amplitude and frequency obtained from the presented method agree well with the measured values of the galloping of a D-shaped iced conductor, which proves that the current finite element model is accurate. The present research indicates that the galloping is a kind of low-frequency vibration which mainly moves vertically and generally occurs around the first-order vertical natural frequency. The amplitudes and frequencies of galloping are uniquely determined by the physical parameters of the transmission line and wind loads, which are irrelevant to the initial state of the movements of the iced conductors. The method developed in this paper has a great innovation and improvement in the galloping model and in deal- ing with the aerodynamic forces of iced conductors. Compared with the existing methods, the proposed method is more efficient and can obtain more accurate results, which may provide a new way and idea in the future studies on the galloping and anti-galloping technology of iced transmission lines.