Abstract
Collapses of transmission towers were often observed in previous large earthquakes such as the Chi-Chi earthquake in Taiwan and Wenchuan earthquake in Sichuan, China. These collapses were partially caused by the pulling forces from the transmission lines generated from out-of-phase responses of the adjacent towers owing to spatially varying earthquake ground motions. In this paper, a 3D finite element model of the transmission tower-line system is established considering the geometric nonlinearity of transmission lines. The nonlinear responses of the structural system at a canyon site are analyzed subjected to spatially varying ground motions. The spatial variations of ground motion associated with the wave passage, coherency loss, and local site effects are given. The spatially varying ground motions are simulated stochastically based on an empirical coherency loss function and a filtered Tajimi-Kanai power spectral density function. The site effect is considered by a transfer function derived from 1D wave propagation theory. Compared with structural responses calculated using the uniform ground motion and delayed excitations, numerical results indicate that seismic responses of transmission towers and power lines are amplified when considering spatially varying ground motions including site effects. Each factor of ground motion spatial variations has a significant effect on the seismic response of the structure, especially for the local site effect. Therefore, neglecting the earthquake ground motion spatial variations may lead to a substantial underestimation of the response of transmission tower-line system during strong earthquakes. Each effect of ground motion spatial variations should be incorporated in seismic analysis of the structural system.
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References
Ang, A.H.S., Pires, J.A., Villaverde, R., 1996. A model for the seismic reliability assessment of electric power transmission systems. Reliability Engineering and System Safety, 51(1):7–22. [doi:10.1016/0951-8320(95)00101-8]
ASCE, 1982. American society of civil engineers committee on electrical transmission structures, loadings for electrical transmission structures. Journal of Structural Division, 108(5):1088–1105.
ASCE, 1991. Guideline for Electrical Transmission Line Structural Loading. ASCE Manuals and Reports on Engineering Practice, New York, No. 74.
Ates, S., Dumanoglu, A.A., Bayraktar, A., 2005. Stochastic response of seismically isolated highway bridges with friction pendulum systems to spatially varying earthquake ground motions. Engineering Structures, 27(13):1843–1858. [doi:10.1016/j.engstruct.2005.05.016]
Bai, F.L., Hao, H., Li, H.N., 2009. Response Analysis of a Transmission Tower-Line System to Spatial Ground Motions. Australian Earthquake Engineering Society Conference, Newcastle, Australia.
Der Kiureghian, A., 1980. Structural response to stationary excitation. Journal of Engineering Mechanics, 106(6):1195–1213.
Dumanoglu, A.A., Soyluk, K., 2003. A stochastic analysis of long span structures subjected to spatially varying ground motions including the site-response effect. Engineering Structures, 25(10):1301–1310. [doi:10.1016/S0141-0296 (03)00080-4]
EERI, 1999. Chi-Chi, Taiwan, Earthquake Reconnaissance Report. Earthquake Engineering Research Institute, Oakland, California.
Ghobarah, A., Aziz, T.S., El-Attar, M., 1996. Response of transmission lines to multiple support excitation. Engineering Structures, 18(12):936–946. [doi:10.1016/S0141-0296(96)00020-X]
Hao, H., 1989. Effects of Spatial Variation of Ground Motions on Large Multiply-Supported Structures. Report No. UCB/EERC-89-06, University of California, Berkeley, USA.
Hao, H., 1993. Arch responses to correlated multiple excitations. Earthquake Engineering and Structural Dynamics, 22(5):389–404. [doi:10.1002/eqe.4290220503]
Hao, H., Duan, X.N., 1996. Multiple excitation effects on response of symmetric buildings. Engineering Structures, 18(9):732–740. [doi:10.1016/0141-0296(95)00217-0]
Hao, H., Chouw, N., 2006. Modeling of Earthquake Ground Motion Spatial Variation on Uneven Sites with Varying Soil Conditions. The 9th International Symposium on Structural Engineering for Young Experts, Fuzhou-Xiamen, China, p.79–85.
Hao, H., Oliveira, C.S., Penzien, J., 1989. Multiple-station ground motion processing and simulation based on smart-1 array data. Nuclear Engineering and Design, 111(3):293–310. [doi:10.1016/0029-5493(89)90241-0]
Harichandran, R.S., Hawwari, A., Sweiden, B.N., 1996. Response of long-span bridges to spatially varying ground motion. Journal of Structural Engineering, ASCE, 122(5):476–484. [doi:10.1061/(ASCE)0733-9445(1996) 122:5(476)]
Jennings, P.C., Housner, G.W., Tsai, N.C., 1968. Simulated Earthquake Motions. Report of Earthquake Engineering Research Laboratory, EERL-02, California Institute of Technology, USA.
Kawashima, K., Unjoh, S., 1996. Impact of Hanshin/Awaji earthquake on seismic design and seismic strengthening of highway bridges. Structural Engineering/Earthquake Engineering, JSCE, 13(2):211–240.
Li, H.N., Bai, H.F., 2006. High-voltage transmission tower-line system subjected to disaster loads. Progress in Natural Science, 16(9):899–911. [doi:10.1080/10020070612330087]
Li, H.N., Shi, W.L., Wang, G.X., Jia, L.G., 2005. Simplified models and experimental verification for coupled transmission tower-line system to seismic excitations. Journal of Sound and Vibration, 286(3):569–585. [doi:10.1016/j.jsv.2004.10.009]
Moustafa, A., Takewaki, I., 2009. Use of probabilistic and deterministic measures to identify unfavorable earthquake records. Journal of Zhejiang University-SCIENCE A, 10(5):619–634. [doi:10.1631/jzus.A0930001]
Mozer, J.D., Pohlman, J.C., Fleming, J.F., 1977. Longitudinal load analysis of transmission line systems. IEEE Transactions on Power Apparatus and Systems, 96(5):1657–1665. [doi:10.1109/T-PAS.1977.32495]
Nazmy, A.S., Abdel-Ghaffar, A.M., 1987. Seismic Response Analysis of Cable-Stayed Bridges Subjected to Uniform and Multiple-Support Excitations. Report No. 87-SM-1, Department of Civil Engineering, Princeton University, Princeton, NJ, USA.
Nazmy, A.S., Abdel-Ghaffar, A.M., 1992. Effects of ground motion spatial variability on the response of cable-stayed bridge. Earthquake Engineering and Structural Dynamics, 22(1):1–20. [doi:10.1002/eqe.4290210101]
Rassem, M., Ghobarah, A., Heidebrecht, A.C., 1996. Site effects on the seismic response of a suspension bridge. Engineering Structures, 18(5):363–370. [doi:10.1016/0141-0296(95)00001-1]
Ruiz, P., Penzien, J., 1969. Probabilistic Study of the Behaviour of Structures during Earthquakes. Report No. UCB/ EERC-69-03, Earthquake Engineering Research Centre, University of California, Berkeley, USA.
Sextos, A.G., Pitilakis, K.D., Kappos, A.J., 2003a. Inelastic dynamic analysis of RC bridges accounting for spatial variability of ground motion, site effects and soil-structure interaction phenomena. Part 1: Methodology and analytical tools. Earthquake Engineering and Structure Dynamics, 32(4):607–627. [doi:10.1002/eqe. 241]
Sextos, A.G., Kappos, A.J., Pitilakis, K.D., 2003b. Inelastic dynamic analysis of RC bridges accounting for spatial variability of ground motion, site effects and soil-structure interaction phenomena. Part 2: Parametric study. Earthquake Engineering and Structure Dynamics, 32(4):629–652. [doi:10.1002/eqe.242]
Shen, S.Z., Xu, C.B., Zhao, C., 1997. Design of Suspension Structure. China Architecture and Building Press, Beijing (in Chinese).
Soyluk, K., Dumanoglu, A.A., 2000. Comparison of asynchronous and stochastic dynamic response of a cable-stayed bridge. Engineering Structures, 22(5):435–445. [doi:10.1016/S0141-0296(98)00126-6]
Tajimi, H., 1960. A Statistical Method of Determining the Maximum Response of a Building Structure during an Earthquake. Proceedings of 2nd World Conference on Earthquake Engineering, Tokyo, p.781–796.
Yang, L., Sun, B., Ye, Y., 1996. Calculation of high-voltage transmission tower. Engineering Mechanics, 13(1):46–51.
Yue, M.G., Li, H.N., Wang, D.S., Zhai, T., 2006. Longitudinal response of the power transmission tower-cable system under travelling seismic wave excitations. Proceedings of the CSEE, 26(23):145–150 (in Chinese).
Zanardo, G., Hao, H., Modena, C., 2002. Seismic response of multi-span simply supported bridges to spatially varying earthquake ground motion. Earthquake Engineering and Structural Dynamics, 31(6):1325–1345. [doi:10.1002/eqe.166]
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Project supported by the National Natural Science Foundation of China (No. 50638010), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20070141036)
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Li, Hn., Bai, Fl., Tian, L. et al. Response of a transmission tower-line system at a canyon site to spatially varying ground motions. J. Zhejiang Univ. Sci. A 12, 103–120 (2011). https://doi.org/10.1631/jzus.A1000067
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DOI: https://doi.org/10.1631/jzus.A1000067
Key words
- Transmission tower-line system
- Canyon site
- Spatially varying ground motions
- Coherency loss
- Local site effect