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| 覆冰四分裂输电线舞动研究 | |
| 引用本文： | 刘海英,张琪昌,郝淑英,梁枢果,吴海洋,陈政清. 覆冰四分裂输电线舞动研究[J]. 振动工程学报, 2011, 24(3): 235-239 |
| 作者姓名： | 刘海英 张琪昌 郝淑英 梁枢果 吴海洋 陈政清 |
| 作者单位： | 1. 天津大学机械学院,天津300072;天津理工大学机械工程学院,天津300384 2. 天津大学机械学院,天津300072;天津市非线性动力学与混沌控制重点实验室,天津300072 3. 天津理工大学机械工程学院,天津,300384 |
| 基金项目： | 国家自然科学基金资助项目，天津市自然科学基金资助项目 |
| 摘 要： | 建立四分裂覆冰输电线的面内垂直和扭转两个方向的连续体耦合非线性动力学偏微分方程,利用Galerkin方法将偏微分方程转换为常微分方程.选初始攻角和面内结构阻尼为参数,应用中心流形理论并借助符号运算软件Mathematica程序,得到系统在分岔点处中心流形上的约化方程,并应用规范形理论对约化方程进行化简,得到系统极坐标下的Hopf分岔方程,研究了参数连续变化对系统稳定性及舞动幅值的影响.对系统进行数值分析得到了系统的运动相图和时程曲线,结果表明系统收敛于稳定的极限环. |
| 关 键 词： | 四分裂输电线 舞动 Galerkin离散法 中心流形 规范形 |
| 收稿时间： | 2010-09-20 |
| 修稿时间： | 2011-03-04 |
A study on galloping for iced quad bundled conductor |
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| LIU Hai-ying,ZHANG Qi-chang,HAO Shu-ying. A study on galloping for iced quad bundled conductor[J]. Journal of Vibration Engineering, 2011, 24(3): 235-239 | |
| Authors: | LIU Hai-ying ZHANG Qi-chang HAO Shu-ying |
| Affiliation: | LIU Hai-ying1,2,ZHANG Qi-chang1,3,HAO Shu-ying2(1.School of Mechanical Engineering,Tianjin University,Tianjin 300072,China,2.School of Mechanical Engineering,Tianjin University of Technology,Tianjin 300384,3.Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control,China) |
| Abstract: | A two-direction nonlinear model of iced,electrical quad-bundled conductor is developed to describe nonlinear dynamics behaviors,interactions are accommodated between line's plung and twist,by applying Galerkin integral method,the ordinary differential equations are obtained.Let initial attack angle and damping of structure as bifurcation parameters,in virtue of Mathematica procedure and the center manifold theorem a four dimensional first order dynamical system is reduced into a two dimensional first order ... |
| Keywords: | quad-bundled conductor galloping Galerkin method center manifold normal form |
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