Wind-Induced Stability of a Cable-Stayed Bridge with Double Main Spans of 1,500 m and a Twin-Box Section
Publication: Journal of Bridge Engineering
Volume 25, Issue 1
Abstract
Both aerostatic torsional divergence and flutter are challenging for the wind-resistant performance of long-span cable-stayed bridges. Aiming at a cable-stayed bridge with double main spans of 1,500 m each and a typical twin-box bridge girder, a combination of wind tunnel tests and nonlinear aerostatic analysis was used to investigate the wind-induced stability of the bridge as well as the effects of central grids with 0% installed on the upper surface of the bridge girder for the wind-induced stability of the bridge. Aerostatic torsional divergence was observed both at initial attack angles of and 0° for the twin-box section and the initial attack angle of 0° for the revised section with central grids with 0%, whereas flutter was observed at the initial attack angle of . Therefore, there are clear competitive relationships between aerostatic torsional divergence and flutter for a revised section with central grids with 0%, depending on the initial attack angle. Furthermore, the addition of central grids with 0% led to deteriorated wind-induced stability, including aerostatic torsional divergence and flutter. Then synchronous evolutionary relationships between structural stiffness and displacements in the instability process are presented. It was found that the downstream cable stress at the center node of the main span decreased prior to the twin-box section when central grids with 0% were added, and the upstream cable stress decreased faster than that of the twin-box section, resulting in the deterioration of aerostatic stability at the initial attack angles of and 0°.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors gratefully acknowledge the help from Feng Tang and Qiang Sun.
References
Andersen, M. S., J. Johansson, A. Brandt, and S. O. Hansen. 2016. “Aerodynamic stability of long span suspension bridges with low torsional natural frequencies.” Eng. Struct. 120 (Aug): 82–91. https://doi.org/10.1016/j.engstruct.2016.04.025.
Boonyapinyo, V., Y. Lauhatanon, and P. Lukkunaprasit. 2006. “Nonlinear aerostatic stability analysis of suspension bridges.” Eng. Struct. 28 (5): 793–803. https://doi.org/10.1016/j.engstruct.2005.10.008.
Boonyapinyo, V., H. Yamada, and T. Miyata. 1994. “Wind-induced nonlinear lateral-torsional buckling of cable-stayed bridges.” J. Struct. Eng. 120 (2): 486–506. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:2(486).
Chen, J. 2000. “Study on nonlinear aerostatic stability of cable-supported bridges.” Ph.D. thesis, Bridge Engineering Dept., Tongji Univ.
Chen, J., R. C. Xiao, and H. F. Xiang. 2001. “Study on parameters of aerostatic stability of long-span cable-stayed bridges.” [In Chinese.] China Civ. Eng. J. 34 (2): 55–61.
Cheng, J., J. J. Jiang, R. C. Xiao, and H. F. Xiang. 2002. “Nonlinear aerostatic stability analysis of Jiang Yin suspension bridge.” Eng. Struct. 24 (6): 773–781. https://doi.org/10.1016/S0141-0296(02)00006-8.
Daugherty, R. L., J. B. Franzini, and E. J. Finnemore. 2011. Fluid mechanics with engineering applications. 9th ed. New York: McGraw-Hill.
Diana, G., M. Falco, S. Bruni, A. Cigada, G. L. Larose, A. Darnsgaard, and A. Collina. 1995. “Comparisons between wind tunnel tests on a full aeroelastic model of the proposed bridge over Stretto di Messina and numerical results.” J. Wind Eng. Ind. Aerodyn. 54–55 (94): 101–113. https://doi.org/10.1016/0167-6105(94)00034-B.
Diana, G., F. Resta, M. Belloli, and D. Rocchi. 2006. “On the vortex shedding forcing on suspension bridge deck.” J. Wind Eng. Ind. Aerodyn. 94 (5): 341–363. https://doi.org/10.1016/j.jweia.2006.01.017.
Ding, Q. S., A. R. Chen, and H. F. Xiang. 2002. “Coupled flutter analysis of long-span bridges by multimode and full-order approaches.” J. Wind Eng. Ind. Aerodyn. 90 (12): 1981–1993. https://doi.org/10.1016/S0167-6105(02)00315-X.
Ehsan, F., N. P. Jones, and R. H. Scanlan. 1993. “Effect of sidewalk vents on bridge response to wind.” J. Struct. Eng. 119 (2): 484–504. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:2(484).
Gao, G., and L. Zhu. 2015. “Nonlinearity of mechanical damping and stiffness of a spring-suspended sectional model system for wind tunnel tests.” J. Sound Vib. 355 (Oct). 369–391. https://doi.org/10.1016/j.jsv.2015.05.033.
Gao, Z. Y. 2014. “Technical characteristics of main bridge of Hutong Changjiang River bridge.” [In Chinese.] Bridge Constr. 44 (2): 1–5.
Ge, Y. J. 2011. Wind-resistance of long span suspension bridges. [In Chinese.] Beijing: China Communications.
Hirai, A., I. Okauchi, M. Ito, and T. Miyata. 1967. “Studies on the critical wind velocity for suspension bridges.” In Proc., Int. Research Seminar on Wind Effects on Buildings and Structure. Toronto, Canada: University of Toronto Press.
Hu, C. X., L. Zhao, and Y. J. Ge. 2018. “Time-frequency evolutionary characteristics of aerodynamic forces around a streamlined closed-box girder during vortex-induced vibration.” J. Wind Eng. Ind. Aerodyn. 182 (Nov): 330–343. https://doi.org/10.1016/j.jweia.2018.09.025.
Hu, C. X., Z. Y. Zhou, and B. S. Jiang. 2019. “Effects of types of bridge decks on competitive relationships between aerostatic and flutter stability for a super long cable-stayed bridge.” Wind Struct. 28 (4): 255–270. https://doi.org/10.12989/was.2019.28.4.255.
Hui, M. H. 2013. “Full-bridge aeroelastic model wind tunnel tests for the stonecutters bridge.” HKIE Trans. 20 (2): 109–123. https://doi.org/10.1080/1023697X.2013.794554.
Kargarmoakhar, R., A. G. Chowdhury, and P. A. Irwin. 2015. “Reynolds number effects on twin box girder long span bridge aerodynamics.” Wind Struct. 20 (2): 327–347. https://doi.org/10.12989/was.2015.20.2.327.
Khalil, E., and W. Abdel-Latif. 2012. “Dynamic behavior of ultra span cable stayed bridges provided with cable nets.” IABSE Symp. Rep. 98 (16): 23–29.
Laima, S., and H. Li. 2015. “Effects of gap width on flow motions around twin-box girders and vortex-induced vibrations.” J. Wind Eng. Ind. Aerodyn. 139 (Apr): 37–49. https://doi.org/10.1016/j.jweia.2015.01.009.
Laima, S., H. Li, W. Chen, and F. Li. 2013. “Investigation and control of vortex-induced vibration of twin box girders.” J. Fluids Struct. 39 (5): 205–221. https://doi.org/10.1016/j.jfluidstructs.2012.10.009.
Larsen, A., M. Savage, A. Lafrenière, M. C. H. Hui, and S. V. Larsen. 2008. “Investigation of vortex response of a twin box bridge section at high and low Reynolds numbers.” J. Wind Eng. Ind. Aerodyn. 96 (6): 934–944. https://doi.org/10.1016/j.jweia.2007.06.020.
Lee, S., S. D. Kwon, and J. Yoon. 2014. “Reynolds number sensitivity to aerodynamic forces of twin box bridge girder.” J. Wind Eng. Ind. Aerodyn. 127 (127): 59–68. https://doi.org/10.1016/j.jweia.2014.02.004.
Lee, S. H., J. G. Yoon, and S. D. Kwon. 2013. “Aerodynamic forces acting on Yi Sun-Sin Bridge girder according to Reynolds numbers.” J. Korean Soc. Civ. Eng. 33 (1): 93–100. https://doi.org/10.12652/Ksce.2013.33.1.093.
Li, J. W., C. Fang, L. M. Hou, and J. Wang. 2014. “Sensitivity analysis for aerostatic stability parameter of a long-span bridge.” [In Chinese.] J. Vib. Shock 33 (4): 124–130. https://doi.org/10.13465/j.cnki.jvs.2014.04.022.
Li, L. Y., and Y. J. Ge. 2008. “Experiments of vortex control for central-slotting on long-span bridges.” [In Chinese.] J. Huazhong Sci. Technol. 36 (12): 112–115.
Li, Z. G., Q. Zhou, H. L. Liao, and C. M. Ma. 2018. “Numerical studies of the suppression of vortex-induced vibrations of twin box girders by central grids.” Wind Struct. 26 (5): 305–315. https://doi.org/10.12989/was.2018.26.5.305.
Miranda, S. D., L. Patruno, M. Ricci, and F. Ubertini. 2015. “Numerical study of a twin box bridge deck with increasing gap ratio by using RANS and LES approaches.” Eng. Struct. 99 (Sep): 546–558. https://doi.org/10.1016/j.engstruct.2015.05.017.
Scanlan, R. H. 1978. “The action of flexible bridges under wind, I: Flutter theory.” J. Sound Vib. 60 (2): 187–199. https://doi.org/10.1016/S0022-460X(78)80028-5.
Scanlan, R. H. 1993. “Problematics in formulation of wind-force models for bridge decks.” J. Struct. Eng. 119 (7): 1433–1446. https://doi.org/10.1061/(ASCE)0733-9399(1993)119:7(1353).
Trein, C. A., H. Shirato, and M. Matsumoto. 2015. “On the effects of the gap on the unsteady pressure characteristics of two-box bridge girders.” Eng. Struct. 82 (Jan): 121–133. https://doi.org/10.1016/j.engstruct.2014.10.036.
Wang, H., A. Li, J. Niu, Z. Zong, and J. Li. 2013. “Long-term monitoring of wind characteristics at Sutong Bridge site.” J. Wind Eng. Ind. Aerodyn. 115 (4): 39–47. https://doi.org/10.1016/j.jweia.2013.01.006.
Yang, Y., R. Zhou, Y. Ge, D. Mohotti, and P. Mendis. 2015. “Aerodynamic instability performance of twin box girders for long-span bridges.” J. Wind Eng. Ind. Aerodyn. 145 (Oct): 196–208. https://doi.org/10.1016/j.jweia.2015.06.014.
Yang, Y., R. Zhou, Y. Ge, and L. Zhang. 2016. “Experimental studies on VIV performance and countermeasures for twin-box girder bridges with various slot width ratios.” J. Fluids Struct. 66 (Oct): 476–489. https://doi.org/10.1016/j.jfluidstructs.2016.08.010.
Yang, Y. X., Y. J. Ge, and H. F. Xiang. 2007. “Investigation on flutter mechanism of long-span bridges with 2D-3DOF method.” J. Wind Struct. 10 (5): 421–435. https://doi.org/10.12989/was.2007.10.5.421.
Yuan, W. Y., S. J. Laima, W. L. Chen, and H. Hu. 2017. “Investigation on the vortex-and-wake-induced vibration of a separated-box bridge girder.” J. Fluids Struct. 70 (Apr): 145–161. https://doi.org/10.1016/j.jfluidstructs.2017.01.015.
Zhang, H. J., L. D. Zhu, and X. H. Hu. 2012. “Wind tunnel test on wind-resistant stability of super-kilometer cable stayed bridge.” China J. Highway Transp. 27 (4): 62–68.
Zhang, W., Y. J. Ge, Z. G. Wei, and Y. X. Yang. 2008. “Experiments on vortex induced vibration of twin-box bridge sections in high and low Reynolds numbers.” [In Chinese.] Acta Aerodynamica Sin. 26 (3): 356–359.
Zhang, W. M., Y. J. Ge, and M. L. Levitan. 2013a. “Nonlinear aerostatic stability analysis of new suspension bridges with multiple main spans.” J. Braz. Soc. Mech. Sci. Eng. 35 (2): 143–151. https://doi.org/10.1007/s40430-013-0011-4.
Zhang, W. M., L. Wang, and Z. Liu. 2013b. “Analysis of aerostatic instability mode of a three-tower suspension bridge based on strain energy.” [In Chinese.] Bridge Constr. 43 (5): 62–67.
Zhang, Z. T., Y. J. Ge, and Y. X. Yang. 2013c. “Torsional stiffness degradation and aerostatic divergence of suspension bridge decks.” J. Fluids Struct. 40 (7): 269–283. https://doi.org/10.1016/j.jfluidstructs.2013.05.001.
Zhou, Q., Z. Y. Zhou, and Y. J. Ge. 2012. “Mode and mechanism of aerostatic stability for suspension bridges with double main spans.” [In Chinese.] J. Harbin Inst. Technol. 44 (8): 76–82.
Zhou, R., Y. Yang, Y. Ge, and L. Zhang. 2018. “Comprehensive evaluation of aerodynamic performance of twin-box girder bridges with vertical stabilizers.” J. Wind Eng. Ind. Aerodyn. 175 (Apr): 317–327. https://doi.org/10.1016/j.jweia.2018.01.039.
Zhu, L. D., H. F. Xiang, and Y. L. Xu. 2000. “Triple-girder model for modal analysis of cable-stayed bridges with warping effect.” Eng. Struct. 22 (10): 1313–1323. https://doi.org/10.1016/S0141-0296(99)00077-2.
Information & Authors
Information
Published In
Copyright
©2019 American Society of Civil Engineers.
History
Received: Nov 7, 2018
Accepted: Jul 3, 2019
Published online: Nov 8, 2019
Published in print: Jan 1, 2020
Discussion open until: Apr 8, 2020
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.