高阶扭转模态耦合下覆冰导线的稳定性和影响因素分析

霍冰, 刘习军, 张锐

霍冰, 刘习军, 张锐. 高阶扭转模态耦合下覆冰导线的稳定性和影响因素分析[J]. 工程力学, 2020, 37(2): 241-249. DOI: 10.6052/j.issn.1000-4750.2019.01.0093
引用本文: 霍冰, 刘习军, 张锐. 高阶扭转模态耦合下覆冰导线的稳定性和影响因素分析[J]. 工程力学, 2020, 37(2): 241-249. DOI: 10.6052/j.issn.1000-4750.2019.01.0093
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HUO Bing, LIU Xi-jun, ZHANG Rui. STABILITY AND INFLUENCE FACTORS ON ICED CONDUCTOR WITH THE PARTICIPATION OF MULTI-ORDERED TORSIONAL MODES[J]. Engineering Mechanics, 2020, 37(2): 241-249. DOI: 10.6052/j.issn.1000-4750.2019.01.0093
Citation: HUO Bing, LIU Xi-jun, ZHANG Rui. STABILITY AND INFLUENCE FACTORS ON ICED CONDUCTOR WITH THE PARTICIPATION OF MULTI-ORDERED TORSIONAL MODES[J]. Engineering Mechanics, 2020, 37(2): 241-249. DOI: 10.6052/j.issn.1000-4750.2019.01.0093
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高阶扭转模态耦合下覆冰导线的稳定性和影响因素分析

  • 1.

    天津科技大学机械工程学院, 天津 300222;

  • 2.

    天津市轻工与食品工程机械装备集成设计与在线监控重点实验室, 天津 300222;

  • 3.

    天津大学机械工程学院, 天津 300072

基金项目: 国家自然科学基金项目（51808389）；天津市自然科学基金项目（18JCQNJC08000）
详细信息
    作者简介:

    刘习军(1956-),男,天津人,教授,学士,博导,主要从事动力学与控制研究(E-mail:lxijun@tju.edu.cn);张锐(1985-),男,山东人,讲师,博士,主要从事动力学与控制研究(E-mail:zhangrui19850424@tust.edu.cn).

    通讯作者:

    霍冰(1987-),女,内蒙人,讲师,博士,主要从事动力学与控制研究(E-mail:huobing@tust.edu.cn).

  • 中图分类号: TM751;O322

STABILITY AND INFLUENCE FACTORS ON ICED CONDUCTOR WITH THE PARTICIPATION OF MULTI-ORDERED TORSIONAL MODES

  • 1.

    College of Mechanical Engineering, Tianjin University of Science and Technology, Tianjin 300222, China;

  • 2.

    Tianjin Key Lab of Integrated Design and On-line Monitoring for Light Industry&Food Machinery and Equipment, Tianjin 300222, China;

  • 3.

    College of Mechanical Engineering, Tianjin University, Tianjin 300072, China

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    摘要
  • 摘要: 利用Galerkin法建立面内前四阶和扭转前四阶模态耦合的覆冰导线动力学模型。借助分岔理论分析各阶模态的失稳临界条件，研究导线系统在不同风速、扭转阻尼比、档距及初始拉力下各阶模态的失稳规律，并利用数值模拟对理论分析结果进行验证。研究结果表明：考虑了扭转前四阶模态的导线模型，其面内前四阶模态特征值实部随风速变化的响应曲线先后经历2次Hopf分岔，呈限幅振动；扭转阻尼比的增大扩大了面内模态的失稳风速区域；随着档距增大，面内模态的2个Hopf分岔点和扭转模态的一个Hopf分岔点分别左移，表明大档距时，扭转模态逐渐代替面内模态的舞动；初始拉力对面内模态的失稳区域影响显著，而对扭转模态的影响很小。以上结论可为工程中导线的优化设计提供理论依据。
    Abstract: A dynamic model for iced conductor describing the coupling of the first four in-plane and torsional modes has been established by applying the Galerkin method. Subsequently, the Bifurcation theory was employed to study the critical unstable condition of every mode. Galloping laws of iced conductor were analyzed under different parameters including wind velocity, torsional ratio, cable length and initial tension. Numerical procedures were finally used to verify the theoretical results. The results indicate that with the consideration of the first four torsional modes, the real parts of the eigenvalues for the first four in-plane modes experienced two Hopf bifurcations as the wind velocity increased, performing limited vibration. The increase in the torsional damping ratio could enlarge the instable region of in-plane modes. The longer cable length made a left shift of Hopf bifurcations for both in-plane and torsional modes, denoting that in-plane galloping would be substituted by the torsional ones in longer cable length. Initial tension had a remarkable impact on in-plane modes, but no obvious influence on the torsional ones. The conclusion can provide theoretical basis for conductor optimization.
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    • 参考文献(23)
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出版历程
  • 收稿日期:  2019-03-10
  • 修回日期:  2019-07-04
  • 刊出日期:  2020-05-26

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