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Mathematical Problems in Engineering
Volume 2013, Article ID 784239, 11 pages
http://dx.doi.org/10.1155/2013/784239
Research Article

Hysteresis Phenomenon in the Galloping of the D-Shape Iced Conductor

China Electric Power Research Institute, Beijing 100192, China

Received 5 June 2013; Revised 16 October 2013; Accepted 19 October 2013

Academic Editor: Stefano Lenci

Copyright © 2013 Bin Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. CIGRE SCB2, WG 11, and Task Force 02.11.06, “State of the art of conductor galloping,” Electra 322, Convenor: J. L. Lilien, 2007. View at Google Scholar
  2. R. D. Blevins, Flow-Induced Vibration, Van Nostrand Reinhold, New York, NY, USA, 1990.
  3. Y. L. Guo, G. X. Li, and C. Y. You, Galloping of the Transmission Line, China Electronic Power Press, Beijing, China, 2003, (Chinese).
  4. C. B. Rawlins, “Transmission line reference book-wind-induced conductor motion,” in Galloping Conductors, vol. 792, chapter 4, EPRI Research Project, 1979. View at Google Scholar
  5. J. P. Den Hartog, “Transmission line vibration due to sleet,” Transactions of AIEE, vol. 51, part 4, pp. 1074–1086, 1932. View at Google Scholar
  6. O. Nigol and P. G. Buchan, “Conductor galloping part I: den Hartog mechanism,” IEEE Transactions on Power Apparatus and Systems, vol. 100, no. 2, pp. 699–707, 1981. View at Google Scholar · View at Scopus
  7. O. Nigol and P. G. Buchan, “Conductor galloping part II: torsional mechanism,” IEEE Transactions on Power Apparatus and Systems, vol. 100, no. 2, pp. 708–720, 1981. View at Google Scholar · View at Scopus
  8. P. Yu, A. H. Shah, and N. Popplewell, “Inertially coupled galloping of iced conductors,” Journal of Applied Mechanics, Transactions ASME, vol. 59, no. 1, pp. 140–145, 1992. View at Publisher · View at Google Scholar · View at Scopus
  9. P. Yu, Y. M. Desai, A. H. Shah, and N. Popplewell, “Three-degree-of-freedom model for galloping. Part 1: formulation,” Journal of Engineering Mechanics, vol. 119, no. 12, pp. 2404–2425, 1993. View at Publisher · View at Google Scholar · View at Scopus
  10. P. Yu, N. Popplewell, and A. H. Shah, “Instability trends of inertially coupled galloping. Part II: periodic vibrations,” Journal of Sound and Vibration, vol. 183, no. 4, pp. 679–691, 1995. View at Publisher · View at Google Scholar · View at Scopus
  11. C. Ziller and H. Ruscheweyh, “A new approach for determining the onset velocity of galloping instability taking into account the nonlinearity of the aerodynamic damping characteristic,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 69-71, pp. 303–314, 1997. View at Publisher · View at Google Scholar · View at Scopus
  12. A. Luongo and G. Piccardo, “Non-linear galloping of sagged cables in 1:2 internal resonance,” Journal of Sound and Vibration, vol. 214, no. 5, pp. 915–936, 1998. View at Publisher · View at Google Scholar · View at Scopus
  13. G. A. Vio, G. Dimitriadis, and J. E. Cooper, “Bifurcation analysis and limit cycle oscillation amplitude prediction methods applied to the aeroelastic galloping problem,” Journal of Fluids and Structures, vol. 23, no. 7, pp. 983–1011, 2007. View at Publisher · View at Google Scholar · View at Scopus
  14. Z. H. Qin, Y. S. Chen, X. P. Zhan, B. Liu, and K. J. Zhu, “Research on the galloping and anti-galloping of the transmission line,” International Journal of Bifurcation and Chaos, vol. 22, no. 2, Article ID 1250038, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  15. K. G. McConnell and C.-N. Chang, “A study of the axial-torsional coupling effect on a sagged transmission line,” Experimental Mechanics, vol. 26, no. 4, pp. 324–329, 1986. View at Publisher · View at Google Scholar · View at Scopus
  16. K. E. Gavronski, Non-linear galloping of bundle-conductor transmission lines [Ph.D. thesis], Clarkson College of Technology, 1977.
  17. S. C. Luo, Y. T. Chew, and Y. T. Ng, “Hysteresis phenomenon in the galloping oscillation of a square cylinder,” Journal of Fluids and Structures, vol. 18, no. 1, pp. 103–118, 2003. View at Publisher · View at Google Scholar · View at Scopus
  18. P. Hémon and F. Santi, “On the aeroelastic behaviour of rectangular cylinders in cross-flow,” Journal of Fluids and Structures, vol. 16, no. 7, pp. 855–889, 2002. View at Publisher · View at Google Scholar · View at Scopus
  19. T. Tamura and Y. Itoh, “Unstable aerodynamic phenomena of a rectangular cylinder with critical section,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 83, pp. 121–133, 1999. View at Publisher · View at Google Scholar · View at Scopus
  20. G. Alonso, J. Meseguer, and I. Pérez-Grande, “Galloping instabilities of two-dimensional triangular cross-section bodies,” Experiments in Fluids, vol. 38, no. 6, pp. 789–795, 2005. View at Publisher · View at Google Scholar · View at Scopus
  21. G. Alonso and J. Meseguer, “A parametric study of the galloping stability of two-dimensional triangular cross-section bodies,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 94, no. 4, pp. 241–253, 2006. View at Publisher · View at Google Scholar · View at Scopus
  22. V. D. Pierre and L. Andre, “Galloping of a single conductor covered with a D-section on high-voltage overhead test line,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 96, pp. 1141–1151, 2008. View at Google Scholar
  23. P. Parkinson and N. P. H. Brooks, “On the aeroelastic instability of bluff cylinders,” Journal of Applied Mechanics, vol. 28, pp. 252–258, 1961. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  24. G. V. Parkinson and J. D. Smith, “The square prism as an aeroelastic non-linear oscillator,” Quarterly Journal of Mechanics and Applied Mathematics, vol. 17, no. 2, pp. 225–239, 1964. View at Publisher · View at Google Scholar · View at Scopus
  25. Y. T. Ng, S. C. Luo, and Y. T. Chew, “On using high-order polynomial curve fits in the quasi-steady theory for square-cylinder galloping,” Journal of Fluids and Structures, vol. 20, no. 1, pp. 141–146, 2005. View at Publisher · View at Google Scholar · View at Scopus
  26. J. A. Dunnmon, S. C. Stanton, B. P. Mann, and E. H. Dowell, “Power extraction from aeroelastic limit cycle oscillations,” Journal of Fluids and Structures, vol. 27, no. 8, pp. 1182–1198, 2011. View at Publisher · View at Google Scholar · View at Scopus
  27. A. Barrero-Gil, A. Sanz-Andrés, and G. Alonso, “Hysteresis in transverse galloping: the role of the inflection points,” Journal of Fluids and Structures, vol. 25, no. 6, pp. 1007–1020, 2009. View at Publisher · View at Google Scholar · View at Scopus
  28. G. Alonso, A. Sanz-Lobera, and J. Meseguer, “Hysteresis phenomena in transverse galloping of triangular cross-section bodies,” Journal of Fluids and Structures, vol. 33, pp. 243–251, 2012. View at Publisher · View at Google Scholar · View at Scopus
  29. R. W. Clough and J. Penzien, Dynamics of Structures, McGraw-Hill, New York, NY, USA, 1975.
  30. K. S. Wang and G. J. Tang, “Response analysis of nonlinear vibration of overhead power line under suspension chain state,” Journal of Vibration and Shock, vol. 22, no. 2, pp. 69–72, 2003. View at Google Scholar
  31. H. M. Irvine and T. K. Caughey, “The line theory of free vibrations of a suspended cables,” Proceeding of the Royal Society of London A, vol. 341, pp. 299–315, 1974. View at Publisher · View at Google Scholar
  32. A. Luongo, D. Zulli, and G. Piccardo, “A linear curved-beam model for the analysis of galloping in suspended cables,” Journal of Mechanics of Materials and Structures, vol. 2, no. 4, pp. 675–694, 2007. View at Publisher · View at Google Scholar · View at Scopus
  33. L. Wang and G. Rega, “Modelling and transient planar dynamics of suspended cables with moving mass,” International Journal of Solids and Structures, vol. 47, no. 20, pp. 2733–2744, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus