Acknowledgement
This research is financially supported by the National Key R&D Program of China through the Grant No. 2017YFC0803300. The authors also thank the supports from the wind tunnel laboratory of Xiamen University of Technology for conducting the wind tunnel test in this paper.
References
- Cai, M., Zhou, L., Lei, H. and Huang, H. (2019), "Wind tunnel test Investigation on unsteady aerodynamic coefficients of iced 4-bundle conductors", Adv. Civil Eng., 2019, 1-12. https://doi.org/10.1155/2019/2586242.
- Chen, B., Wu, J.B., Ouyang, Y. and Deng, Y. (2018), "Response evaluation and vibration control of a transmission tower-line system in mountain areas subjected to cable rupture", Struct. Monitor. Maintenance, 5(1), 151-171. https://doi.org/10.12989/smm.2018.5.1.151.
- Chen, B., Xiao, X., Li, P.Y. and Zhong, W.L. (2015), "Performance evaluation on transmission tower-line system with passive friction dampers subjected to wind excitations", Shock Vib., 2015(2015), 1-13. https://doi.org/10.1155/2015/310458.
- Chen, W. L, Li, H., Ou, J.P. and Li, F. (2013), "Numerical simulation of vortex-induced vibrations of inclined cables under different wind profiles", J. Bridge Eng., 18(1), 42-53. http://dx.doi.org/10.1061/(ASCE)BE.1943-5592.0000323
- Deng, Y.C.,Li,S.Y. and Chen, Z.Q. (2019), "Unsteady theoretical analysis on the wake-induced vibration of suspension bridge hangers", J. Bridge Eng., 24(2), 04018113. http://dx.doi.org/10.1061/(ASCE)BE.1943-5592.0001339
- Dyke, P. V. and Andre, L. (2008), "Galloping of a single conductor covered with a d-section on a high-voltage overhead test line", J. Wind Eng. Ind. Aerodyn., 96(6-7), 1141-1151. https://doi.org/10.1016/j.jweia.2007.06.036.
- Fu, X. and Li, H.N. (2016), "Dynamic analysis of transmission tower-line system subjected to wind and rain loads", J. Wind Eng. Ind. Aerodyn., 157, 95-103. https://doi.org/10.1016/j.jweia.2016.08.010.
- Gani, F. and Legeron, F. (2010), "Dynamic response of transmission lines guyed towers under wind loading", Can J. Civil Eng., 37(3), 450-465. https://doi.org/10.1139/L09-160.
- Gao, G. Z. and Zhu, L.D. (2016), "Measurement and verification of unsteady galloping force on a rectangular 2:1 cylinder", J. Wind Eng. Ind. Aerodyn., 157, 76-94. https://doi.org/10.1016/j.jweia.2016.08.004.
- Gao, G. Z. and Zhu, L.D. (2017), "Nonlinear mathematical model of unsteady galloping force on a rectangular 2:1 cylinder", J. Fluid Struct., 70, 47-71. https://doi.org/10.1016/j.jfluidstructs.2017.01.013.
- Hartog, J. P. D. (1933), "Transmission line vibration due to sleet", Transactions of the American Institute of Electrical Engineers, 51(4), 1074-1076. https://doi.org/10.1109/T-AIEE.1932.5056223.
- Jia, X.L, Fu, X., and Li, H.N. (2019), "Experimental study on aerodynamic characteristics of conductors covered with crescent-shaped ice", Wind Struct., 29(4), 225-234. https://doi.org/10.12989/was.2019.29.4.225.
- Keutgen, R., and Lilien, J. L. (2000), "Benchmark cases for galloping with results obtained from wind tunnel facilities validation of a finite element model", IEEE Transactions on Power Delivery, 15(1), 367-374. https://doi.org/10.1109/61.847275.
- Liu, Z.J., Liu, Z.H. and Peng, Y.B. (2018), "Simulation of multivariate stationary stochastic processes using dimension-reduction representation methods", J. Sound Vib., 418, 144-162. https://doi.org/10.1016/j.jsv.2017.12.029.
- Liu, X.H., Yan, B., Zhang, H.Z and Zhou, S. (2009), "Nonlinear numerical simulation method for galloping of iced conductor", Appl. Math. Mech., 30(04), 89-101. https://doi.org/10.1007/s10483-009-0409-x.
- Lou, W. J., Wu, D.G.and Xu, H.W. (2019), "Wind-induced conductor response considering the nonproportionality of generalized aerodynamic damping", J. Mech. Sci. Technol., 33(1). https://doi.org/10.1007/s12206-019-0602-9.
- Lou, W.J., Yang, L., Lv, J. and Huang, M.F. (2014), "Aerodynamic force characteristics and galloping analysis of iced bundled conductors", Wind Struct., 18(2), 135-154. https://doi.org/10.12989/was.2014.18.2.135.
- Liu, Z.B., Chen, W.L., Pan, Y., Zhang, B. and Li, Q. (2017), "Numerical simulation on galloping of an iced conductor", J. Natural Disasters, 26(4), 1-9. https://doi.org/10.13577/j.jnd.2017.0401.
- Ma, W.Y., Macdonald, J.H.G., Liu, Q., Nguyen, C.H. and Liu, X.B. (2017), "Galloping of an elliptical cylinder at the critical Reynolds number and its quasi-steady prediction", J. Wind Eng. Ind. Aerodyn., 168, 110-122. https://doi.org/10.1016/j.jweia.2017.04.022.
- Mannini, C., Marra, A.M. and Bartoli, G. (2014), "Viv-galloping instability of rectangular cylinders: review and new experiments", J. Wind Eng. Ind. Aerodyn., 132,109-124. https://doi.org/10.1016/j.jweia.2014.06.021.
- Nigol, O. and Buchan, P.G. (1981), "Conductor galloping part I-Den Hartog mechanism", IEEE Transactions on Power Apparatus Syst., PAS-100(2), 699-707. https://doi.org/10.1109/TPAS.1981.316921.
- Nigol, O. and Buchan, P.G. (1981), "Conductor galloping-part II torsional mechanism", IEEE Transactions on Power Apparatus Syst, PAS-100(2), 708-720. https://doi.org/10.1109/TPAS.1981.316922.
- Novak, M. (1972), "Galloping oscillations of prismatic structures", J. Eng. Mech., 98(1), 27-46.http://worldcat.org/issn/07339399.
- Ohkuma, T., Kagami, J., Nakauchi, H., Kikuchi, T. and Marukawa, H. (2000), "Numerical analysis of overhead transmission line galloping considering wind turbulence", Electr. Eng. Jpn., 131(3), 19-33. https://doi.org/10.1002/(SICI)1520-6416(200003)131:3<19::AID-EEJ3>3.0.CO;2-S.
- Parkinson, G.V., J.D. Smith, J.D. (1964), "The square prism as an aeroelastic nonlinear oscillator", J. Mech Appl Math., 17, 225-239. https://doi.org/10.1093/qjmam/17.2.225.
- Song, Y.P., Chen, J.B., Peng, Y.B., Spanos, P.D. and Li, J. (2018), "Simulation of nonhomogeneous fluctuating wind speed field in two-spatial dimensions via an evolutionary wavenumber-frequency joint power spectrum", J. Wind Eng. Ind. Aerodyn., 179, 250-259. https://doi.org/10.1016/j.jweia.2018.06.005.
- Shao, S.D. and Lo, E.Y. M. (2003), "Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface", Adv. Water Res., 26(7), 787-800. https://doi.org/10.1016/S0309-1708(03)00030-7.
- Takeshi, I. and Shinichi, O. (2018), "A numerical study of the aerodynamic characteristics of ice-accreted transmission lines", J. Wind Eng. Ind. Aerodyn, 177, 60-68. https://doi.org/10.1016/j.jweia.2018.04.008
- Talib, E., Shin, J., Kwak, M. K. and Koo, J.R. (2019), "Dynamic modeling and simulation for transmission line galloping", J. Mech Sci Technol, 33(9), 4173-4181. https://doi.org/10.1007/s12206-019-0812-1
- Wang, H., Tao, T.Y., Li, A. and Zhang, Y. (2016), "Structural health monitoring system for Sutong cable-stayed bridge", Smart Struct. Syst., 18(2), 317-334. https://doi.org/10.12989/sss.2016.18.2.317.
- Xie, W.P., Chen, B., Li, P.Y. and Gong, X.F. (2015), "Research on dynamic responses of a transmission tower under monsoon wind", App. Mech. Mater., 744-746, 248-252. https://doi.org/10.4028/www.scientific.net/AMM.744-746.248.
- Zhang, Z., Yang, X.P. and Hao, S.Y. (2015), "Numerical simulation and analysis of dynamic aerodynamic characteristics of iced conductor". J. Vib. Shock, 34(7), 209-214 (in Chinese). http://jvs.sjtu.edu.cn/CN/Y2015/V34/I7/209.
- Zhou, L., Yan, B., Zhang, L. and Zhou, S. (2015), "Study on galloping behavior of iced eight bundle conductor transmission lines", J. Sound Vib., 362, 85-110. https://doi.org/10.1016/j.jsv.2015.09.046.