覆冰四分裂导线舞动近似解析解分析  

ANALYSIS OF APPROXIMATE ANALYTICAL SOLUTION ON GALLOPING OF ICED QUAD BUNDLE CONDUCTORS

作　　者：蔡君艳[1,2] 刘习军[1,2] 张素侠[1,2] 

机构地区：[1]天津大学机械工程学院,天津300072 [2]天津市非线性动力学与混沌控制重点实验室,天津300072

出　　处：《工程力学》2013年第5期305-310,316,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(51009107);天津市重点基金项目(09JCZDJC26800);国家863项目(2007AA04Z209)

摘　　要：建立了带有刚性间隔棒的覆冰四分裂导线垂直、水平和扭转三自由度的耦合模型,并对由强非线性系统转化为弱非线性系统的方法进行了研究,运用平均法分析了非内共振、3∶1内共振和1∶1内共振时系统的振动情况,得到了风速、横向阻尼比、来流密度、线路档距等相关参数对导线舞动的影响及在不同参数影响情况下导线舞动的响应曲线,其近似解析解与数值解基本吻合。The coupling model of the three degrees of freedom in vertical, horizontal and torsional directions for iced quad bundle conductors with rigid spacers is established. The method of transforming the strongly nonlinear system into the weakly nonlinear system is discussed. Simultaneously, by using the average method, the vibration of system is analyzed corresponding to non-internal resonance, 3 ： 1 internal resonance and 1 ： 1 internal resonance respectively. Finally, the influence of related parameters such as wind velocity, horizontal damping ratio, fluid density, line span on conductor galloping and the response curves of conductor galloping to the variation of different parameters are obtained. The results show that the approximate analytical solution of system is basically consistent with the numerical solution.

关 键 词：非线性 分裂导线 舞动 平均法 内共振 

分 类 号：TM726[电气工程—电力系统及自动化] O313[理学—一般力学与力学基础]