覆冰四分裂导线舞动近似解析解分析

蔡君艳; 刘习军; 张素侠

doi:10.6052/j.issn.1000-4750.2012.01.0031

覆冰四分裂导线舞动近似解析解分析

蔡君艳^1,2,
刘习军^1,2,
张素侠^1,2,

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

基金项目: 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)

详细信息

作者简介:
蔡君艳(1987―)，女，河北衡水人，硕士生，从事动力学与控制研究(E-mail: caijunyan_1987@126.com)；刘习军(1956―)，男，河北定州人，教授，学士，博导，从事动力学与控制研究(E-mail: lxijun@tju.edu.cn).

通讯作者:
张素侠(1978―)，女，河北抚宁人，讲师，博士，从事动力学与控制研究(E-mail: zhangsux@tju.edu.cn).

中图分类号: TM726
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- 文章访问数: 1157
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出版历程
- 收稿日期: 2012-01-10
- 修回日期: 2013-05-23
- 刊出日期: 2013-05-24

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

1.
School of Mechanical Engineering, Tianjin University, Tianjin 300072, China;
2.
Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin 300072, China

摘要

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。
- 非线性 /
- 分裂导线 /
- 舞动 /
- 平均法 /
- 内共振
Abstract: 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.
- nonlinear /
- bundle conductors /
- galloping /
- average method /
- internal resonance

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参考文献(14)

[1]	王少华),(蒋兴良),(孙才新). 输电线路导线舞动的国内外研究现状[J]. (高电压技术), 2005,31(10):11―14. Wang Shaohua, Jiang Xingliang, Sun Caixin. Study status of conductor galloping on transmission line [J]. Chinese High Voltage Engineering,2005,31(10): 11―14. (in Chinese）
[2]	Yu P, Popplewell N, Shah A H. Instability trends of inertially coupled galloping, part I: Initiation [J]. Journal of Sound and Vibration, 1995,183(4):663―678.
[3]	Yu P, Popplewell N, Shah A H. Instability trends of inertially coupled galloping, part II: Periodic vibration [J]. Journal of Sound and Vibration, 1995, 183(4): 679―691.
[4]	Zhang Q, Popplewell N, Shah A H. Galloping of bundle conductor [J]. Journal of Sound and Vibration, 2000, 234(1): 115―134.
[5]	Liu Fuhao, Zhang Qichang, Wang Wei. Analysis of hysteretic st rongly nonlinearity for quad iced bundle conductors [J]. Chinese Physics Letters, 2010, 27(3): 208―211.[6] 李欣业, 张华彪, 侯书军, 高仕赵. 覆冰输电导线舞动的仿真分析[J]. 振动工程学报, 2010, 23(1): 76―85. Li Xinye, Zhang Huabiao, Hou Shujun, Gao Shizhao. Simulation analysis of galloping of iced power transmission lines [J]. Journal of Vibration Engineering, 2010, 23(1): 76―85. (in Chinese)
[6]	王少华, 蒋兴良, 孙才新. 覆冰导线舞动特性及其引起的导线动态张力[J]. 电工技术学报, 2010, 25(1): 159―166.Wang Shaohua, Jiang Xingliang, Sun Caixin. Characteristics of icing conductor galloping and induced dynamic tensile force of the conductor [J]. Transactions of China Electro Technical Society, 2010, 25(1): 159―166. (in Chinese)
[7]	胡景, 严波, 张宏雁, 周松. 覆冰导线舞动数值仿真分析[J]. 重庆大学学报, 2010, 33(3): 76―81. Hu Jing, Yan Bo, Zhang Hongyan, Zhou Song. Numerical simulation on galloping of iced conductors [J]. Journal of Chongqing University, 2010, 33(3): 76―81. (in Chinese)
[8]	楼文娟, 王昕, 许福友. 覆冰导线气弹模型舞动风洞实验的仿真研究[J]. 土木工程学报, 2011, 44(11): 18―23. Lou Wenjuan, Wang Xin, Xu Fuyou. A wind tunnel study on galloping of an aeroelastic iced conductor model [J]. China Civil Engineering Journal, 2011, 44(11): 18―23. (in Chinese)
[9]	Pierre McComber, Alain Paradis. A cable galloping model for thin ice accretions [J]. Atmospheric Research, 1998, 46: 13―25.
[10]	Wang Jianwei, Lilien J. Overhead electrical transmission line galloping: A full multi-span 3-DOF model, some applications and design recommendations [J]. IEEE Transactions on Power Delivery, 1998, 13(3): 909―916.
[11]	Cai Junyan, Liu Xijun, Zhang Suxia. Numerical analysis for galloping of iced quad bundle conductors [C]. Switzerland: Trans Tech Publications, 2012.
[12]	孔德怡, 李黎, 龙晓鸿, 叶志雄. 安装间隔棒的双分裂导线微风振动分析[J]. 振动与冲击, 2010, 29(1): 138―142. Kong Deyi, Li Li, Long Xiaohong, Ye Zhixiong. Aeolian vibration analysis of two bundle conductors with spacers [J]. Chinese Journal of Vibration and Shock, 2010, 29(1): 138―142. (in Chinese)
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文章访问数: 1157
HTML全文浏览量: 18
PDF下载量: 155
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覆冰四分裂导线舞动近似解析解分析

作者简介: 蔡君艳(1987―)，女，河北衡水人，硕士生，从事动力学与控制研究(E-mail: caijunyan_1987@126.com)；刘习军(1956―)，男，河北定州人，教授，学士，博导，从事动力学与控制研究(E-mail: lxijun@tju.edu.cn).

通讯作者: 张素侠(1978―)，女，河北抚宁人，讲师，博士，从事动力学与控制研究(E-mail: zhangsux@tju.edu.cn).

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出版历程

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

计量

出版历程

目录

作者简介:
蔡君艳(1987―)，女，河北衡水人，硕士生，从事动力学与控制研究(E-mail: caijunyan_1987@126.com)；刘习军(1956―)，男，河北定州人，教授，学士，博导，从事动力学与控制研究(E-mail: lxijun@tju.edu.cn).

通讯作者:
张素侠(1978―)，女，河北抚宁人，讲师，博士，从事动力学与控制研究(E-mail: zhangsux@tju.edu.cn).