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中文摘要：
基于有关索的建模方法建立了覆冰四分裂导线连续体三维耦合的非线性动力学模型。充分考虑结构参数对系统各阶模态线性固有频率的影响，应用 Mathematica 程序进行数值模拟可得系统舞动轨迹图和时间历程曲线。根据动力系统稳定性判据可判别该系统属于垂直激发舞动模式，导线振动频率偏离于该阶模态线性固有频率，表明非线性因素使振幅对频率产生了影响。通过与有限元结果进行比较发现，连续体模型能很好地反应系统的结构和振动特性。
英文摘要：
Three-dimensional coupling continuum model of iced 4-bundle conductor was established based on modelling methods of flexible cable.A thorough analysis was conducted to determine the effects of structure parameters on every order modal linear nature frequency of the system,orbit dia-grams and time-history curves of galloping system were presented through numerical simulation by means of the Mathematica program.The system belongs to vertical self-excited galloping mode ac-cording to stability criterion of dynamics system,vibration frequencies departure from the same order linear nature frequencies,it shows that nonlinear factors make amplitude produce influences on fre-quency.Continuum model of iced conductor can reflect characteristics of the system by comparing with finite element.
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