覆冰导线连续体非线性动力学行为研究

中国机械工程 ›› 2014, Vol. 25 ›› Issue (10): 1303-1307.

覆冰导线连续体非线性动力学行为研究

刘海英1,2;张琪昌1;郝淑英2

1.天津大学,天津,300072
2.天津理工大学,天津,300384

出版日期:2014-05-25 发布日期:2014-05-27
基金资助:
国家自然科学基金资助项目(11072168,10872141);天津市自然科学基金资助项目(11JCYBJC05800);天津市应用基础及前沿技术研究项目(12JCYBJC12500)

Analysis on Nonlinear Dynamics Characteristics of Continuum Iced Bundled Conductors

Liu Haiying1,2;Zhang Qichang1;Hao Shuying2

1.Tianjin University,Tianjin,300072 2.Tianjin University of Technology,Tianjin,300384

Online:2014-05-25 Published:2014-05-27
Supported by:
National Natural Science Foundation of China（No. 11072168,10872141）;Natural Science Foundation of Tianjin（No. 11JCYBJC05800）

摘要/Abstract

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。

关键词: 覆冰分裂导线, 连续体模型, 舞动, 线性固有频率

Abstract:

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 diagrams 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 according 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 frequency. Continuum model of iced conductor can reflect characteristics of the system by comparing with finite element.

Key words: iced bundle conductor, continuum model, galloping, linear nature frequency

中图分类号:

TM726.1
O322

刘海英, 张琪昌, 郝淑英. 覆冰导线连续体非线性动力学行为研究[J]. 中国机械工程, 2014, 25(10): 1303-1307.

Liu Haiying, Zhang Qichang, Hao Shuying. Analysis on Nonlinear Dynamics Characteristics of Continuum Iced Bundled Conductors[J]. China Mechanical Engineering, 2014, 25(10): 1303-1307.