Nonlinear Galloping of Iced Quad-Bundle Conductors With Internal Resonances
-
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Abstract: Galloping of iced quad-bundle conductors with internal resonance was numerically investigated by means of nonlinear finite element method. Based on the numerical simulation of galloping processes of the typical iced quad-bundle conductor lines in both the steady and the stochastic wind fields, galloping characteristics of the iced conductor line with the ratio of the frequency of the first symmetric in-plane mode to the frequency of the out-of-plane mode being 2∶1 were discussed. It is shown that energy continuously interchanges between the vertical motion and transverse horizontal motion as internal resonance exists, which is apparently different from those of the line without internal resonance. The result provides a theoretical basis for the understanding of the coupling mechanism of galloping.
-
Key words:
- iced quad-bundle conductor /
- galloping /
- internal resonance /
- nonlinearity
-
[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))
点击查看大图
计量
- 文章访问数: 1213
- HTML全文浏览量: 104
- PDF下载量: 1049
- 被引次数: 0