中文摘要：

考虑相邻档距振动时所产生动张力对覆冰导线舞动的影响,综合几何非线性和气动载荷之非线性因素,基于Hamilton原理建立了附带边界条件的面内与轴向耦合的两自由度非线性动力学模型。忽略轴向运动的影响对系统进行简化并借助Galerkin法得到轴向激励下系统的常微分运动方程。通过计算相邻档距运动时产生的动张力确定轴向激励大小的基本范围,进而利用数值模拟考察了轴向激励频率和幅值对系统稳定性的影响。研究发现当轴向激励频率接近该跨导线的固有频率时,系统表现出倍周期、概周期和混沌等丰富的运动模式和动力学现象;并借助与单跨覆冰导线的数值模拟对比,表明相邻档距运动不仅导致该跨舞动幅值明显增大、临界风速下降、增大阻尼失效,且严重影响舞动的稳定性,为工程应用提供一定的理论支撑。

英文摘要：

A study is carried out on an iced transmission line under the axial excitation caused by the vibration of an adjacent span, in which geometric nonlinearity and aerodynamic nonlinearity are considered. On the basis of a Hamilton principle, a two degree-of-freedom dynamic model along with boundary conditions are established for describing the coupling of in-plane and axial vibrations. The reduced model is derived by eliminating the axial vibration and Galerkin method is then applied to spatially disperse the partial differential equation. The basic range of the excited force is determined through the calculation of dynamic tension initiated by the adjacent span. Numerical procedures are implemented to analyze the influences of excited frequency and force on the system. Abundant motion patterns of period-doubling, almost period and chaos, are observed when the excited frequency is approximately equal to the natural frequency of the iced transmission line. The numerical verification is carried out on the single-span to further prove that galloping of an adjacent span can lead to an obvious increase of amplitude, a decline of critical wind velocity, the invalidation of increasing damping, and the instability of iced transmission line galloping, providing a theoretical support to practical engineering.