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存在内共振的覆冰四分裂导线的非线性舞动

严波 刘小会 赵莉 周林抒

严波, 刘小会, 赵莉, 周林抒. 存在内共振的覆冰四分裂导线的非线性舞动[J]. 应用数学和力学, 2014, 35(1): 39-49. doi: 10.3879/j.issn.1000-0887.2014.01.005
引用本文: 严波, 刘小会, 赵莉, 周林抒. 存在内共振的覆冰四分裂导线的非线性舞动[J]. 应用数学和力学, 2014, 35(1): 39-49. doi: 10.3879/j.issn.1000-0887.2014.01.005
YAN Bo, LIU Xiao-hui, ZHAO Li, ZHOU Lin-shu. Nonlinear Galloping of Iced Quad-Bundle Conductors With Internal Resonances[J]. Applied Mathematics and Mechanics, 2014, 35(1): 39-49. doi: 10.3879/j.issn.1000-0887.2014.01.005
Citation: YAN Bo, LIU Xiao-hui, ZHAO Li, ZHOU Lin-shu. Nonlinear Galloping of Iced Quad-Bundle Conductors With Internal Resonances[J]. Applied Mathematics and Mechanics, 2014, 35(1): 39-49. doi: 10.3879/j.issn.1000-0887.2014.01.005

存在内共振的覆冰四分裂导线的非线性舞动

doi: 10.3879/j.issn.1000-0887.2014.01.005
基金项目: 国家自然科学基金(51277186; 51308570)
详细信息
    作者简介:

    严波(1965―),男,重庆人,教授,博士(通讯作者. E-mail: boyan@cqu.edu.cn).

  • 中图分类号: TM752;V211;O322

Nonlinear Galloping of Iced Quad-Bundle Conductors With Internal Resonances

Funds: The National Natural Science Foundation of China(51277168; 51308570)
  • 摘要: 采用非线性有限元方法模拟研究存在内共振的覆冰四分裂导线的非线性舞动.通过稳定风场和随机风场中典型覆冰四分裂线路舞动过程的数值模拟,研究当覆冰四分裂导线的对称面内模态频率与面外模态频率之比接近于2∶1,即存在内共振条件时,导线的舞动特征.结果表明,存在内共振的覆冰四分裂导线在舞动过程中, 其能量在竖直面内运动和横向水平面外运动之间不断交换,与不存在内共振线路的舞动特征差别明显. 研究结果对舞动耦合机理的理解具有重要的理论意义
  • [1] EPRI Transmission Line Reference Book. Wind-Induced Conductor Motion [M]. 2nd Ed. Palo Alto, California: Electric Power Research Institute, 2009, 1018554.
    [2] Nayfeh A H, Mook D T. Nonlinear Oscillation [M]. New York: Wiley , 1979.
    [3] Lee C L, Perkins N C. Nonlinear oscillations of suspended cables containing a two-to-one internal resonance[J]. Nonlinear Dynamics,1992,3(6): 465-490.
    [4] Rega G, Lacarbonara W, Nayfeh A H, Chin C M. Multiple resonances in suspended cables: direct versus reduced-order models[J]. International Journal of Non-Linear Mechanics , 1999,34(5): 901-924.
    [5] Nayfeh A H, Arafat H N. Multimode interactions in suspended cables[J]. Journal of Vibration and Control,2002,8(3): 337-387.
    [6] Luongo A, Piccardo G. Non-linear galloping of sagged cables in 1∶2 internal resonance[J]. Journal of Sound and Vibration,1998,214(5): 915-940.
    [7] Luongo A, Zulli D, Piccardo G. Analytical and numerical approaches to nonlinear galloping of internally resonant suspended cables[J]. Journal of Sound and Vibration,2008,315(3): 375-393.
    [8] 刘小会, 严波, 张宏雁, 周松. 覆冰导线舞动非线性数值模拟方法[J]. 应用数学和力学, 2009,30(4): 457-468.(LIU Xiao-hui, YAN Bo, ZHANG Hong-yan, ZHOU Song. Nonlinear numerical simulation method for galloping of iced conductor[J]. Applied Mathematics and Mechanics,2009,30(4): 457-468.(in Chinese))
    [9] Desai Y M, Yu P, Popplewell N, Shah A H. Finite element modeling of transmission line galloping[J]. Computers & Structures,1995,57(3): 407-420.
    [10] Zhang Q, Popplewell N, Shah A H. Galloping of bundle conductor[J]. Journal of Sound and Vibration , 2000,234(1): 115-134.
    [11] 刘小会, 严波, 张宏雁, 周松, 唐杰. 分裂导线舞动非线性有限元分析方法[J]. 振动与冲击, 2010,29(6): 129-133.(LIU Xiao-hui, YAN Bo, ZHANG Hong-yan, ZHOU Song, TANG Jie. Nonlinear finite element method for bundle conductors[J]. Journal of Vibration and Shock , 2010,29(6): 129-133.(in Chinese))
    [12] Hu J, Yan B, Zhou S, Zhang H. Numerical investigation on galloping of iced quad bundle conductors[J]. IEEE Transactions on Power Delivery,2012,27(2): 784-792.
    [13] Irvine H M, Caughey T K. The linear theory of free vibrations of a suspended cable[J].Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences,1974,341(1626): 299-315.
    [14] 张宏雁, 严波, 周松, 胡景, 刘小会. 覆冰四分裂导线静态气动力特性试验研究[J]. 空气动力学学报, 2011,29(2): 23-27.(ZHANG Hong-yan, YAN Bo, ZHOU Song, HU Jing, LIU Xiao-hui. Static test on aerodynamics of iced quad bundle conductors[J]. Acta Aerodynamica Sinica,2011,29(2): 23-27.(in Chinese))
    [15] Simiu E, Scanlan R H. Wind Effects on Structures[M]. 2nd ed. New York: John Wiley & Sons,1986.
    [16] Yan B, Lin X, Luo W, Chen Z, Liu Z. Numerical study on dynamic swing of suspension insulator string in overhead transmission line under wind load[J]. IEEE Transactions on Power Delivery,2010,25(1): 248-259.
    [17] 刘小会, 严波, 张宏雁, 周松. 随机风场中覆冰四分裂导线舞动数值模拟[J]. 振动与冲击, 2012,31(13): 16-21.(LIU Xiao-hui, YAN Bo, ZHANG Hong-yan, ZHOU Song. Numerical investigation on galloping of iced quad bundle conductor in stochastic wind field[J]. Journal of Vibration and Shock , 2012,31(13): 16-21.(in Chinese))
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出版历程
  • 收稿日期:  2013-10-17
  • 修回日期:  2013-11-27
  • 刊出日期:  2014-01-15

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