覆冰导线舞动的非线性动力学及参数分析

发布时间：2018-04-05 14:01

本文选题：覆冰导线　切入点：舞动　出处：《土木工程学报》2014年05期

【摘要】：为考察系统参数对覆冰输电线路舞动稳定性和动力响应的作用机制,基于Langrange方程,建立了考虑竖直向、水平向和扭转向三维非线性耦合效应的连续体分裂导线舞动模型。运用Rourh-Hurwitz判据准则在参数空间中标识了线路失稳时的临界条件,分析了不同阶主导振型作用下系统的稳定域及非稳定域。通过将系统参数视为状态变量的方式把原含参系统转化为不含参数的高阶扩张系统,应用不经中心流形定理降维的规范形理论推导了系统在临界点附近的Hopf分岔方程,并结合数值模拟方法检验了系统稳定条件和舞动响应理论解的准确性。在此基础上,讨论了不同主导振型作用下输电线路舞动响应随系统参数的变化规律。研究结果表明:初始攻角、来流风速和阻尼比等参数对覆冰导线稳定性与非线性分岔行为均有着重要影响。
[Abstract]:In order to investigate the mechanism of system parameters acting on the galloping stability and dynamic response of ice-coated transmission lines, a continuous split conductor galloping model considering vertical, horizontal and torsional nonlinear coupling effects is established based on Langrange equation.Using Rourh-Hurwitz criterion, the critical conditions of line instability are identified in the parameter space, and the stability and non-stability regions of the system are analyzed under the action of different dominant modes.By treating the system parameters as state variables, the original parametric system is transformed into a high-order extended system without parameters, and the Hopf bifurcation equation of the system near the critical point is derived by using the normal form theory without reducing the dimension of the central manifold theorem.The stability condition of the system and the accuracy of the theoretical solution of the galloping response are verified by the numerical simulation method.On this basis, the variation of the galloping response of transmission lines with system parameters under different dominant modes is discussed.The results show that the initial angle of attack, wind speed and damping ratio have important effects on the stability and nonlinear bifurcation behavior of ice-coated conductors.
【作者单位】：浙江大学;
【基金】：国家自然科学基金(51178424,51378468)
【分类号】：TM752

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