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Effects of types of bridge decks on competitive relationships between aerostatic and flutter stability for a super long cable-stayed bridge

  • Hu, Chuanxin (State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University) ;
  • Zhou, Zhiyong (State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University) ;
  • Jiang, Baosong (State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University)
  • Received : 2018.02.27
  • Accepted : 2019.02.05
  • Published : 2019.04.25

Abstract

Aerodynamic configurations of bridge decks have significant effects on the aerostatic torsional divergence and flutter forsuper long-span bridges, which are onset for selection of suitable bridge decksfor those bridges. Based on a cable-stayed bridge with double main spans of 1500 m, considering typical twin-box, stiffening truss and closed-box section, which are the most commonly used form of bridge decks and assumed that the rigidity of those section is completely equivalent, are utilized to investigate the effects of aerodynamic configurations of bridge decks on aerodynamic instability performance comprised of the aerostatic torsional divergence and flutter, by means of wind tunnel tests and numerical calculations, including three-dimensional (3D) multimode flutter analysis and nonlinear aerostatic analysis. Regarding the aerostatic torsional divergence, the results obtained in this study show twin-box section is the best, closed-box section the second-best, and the stiffening truss section the worst. Regarding the flutter, the flutter stability of the twin-box section is far better than that of the stiffening truss and closed-box section. Furthermore, wind-resistance design depends on the torsional divergence for the twin-box and stiffening truss section. However, there are obvious competitive relationships between the aerostatic torsional divergence and flutter for the closed-box section. Flutter occur before aerostatic instability at initial attack angle of $+3^{\circ}$ and $0^{\circ}$, while the aerostatic torsional divergence occur before flutter at initial attack angle of $-3^{\circ}$. The twin-box section is the best in terms of both aerostatic and flutter stability among those bridge decks. Then mechanisms of aerostatic torsional divergence are revealed by tracking the cable forces synchronous with deformation of the bridge decksin the instability process. It was also found that the onset wind velocities of these bridge decks are very similar at attack angle of $-3^{\circ}$. This indicatesthat a stable triangular structure made up of the cable planes, the tower, and the bridge deck greatly improves the aerostatic stability of the structure, while the aerodynamic effects associated with the aerodynamic configurations of the bridge decks have little effects on the aerostatic stability at initial attack angle of $-3^{\circ}$. In addition, instability patterns of the bridge depend on both the initial attack angles and aerodynamic configurations of the bridge decks. This study is helpful in determining bridge decksfor super long-span bridges in future.

Acknowledgement

Supported by : Natural Science Foundation

References

  1. Argentini, T., Diana, G., Rocchi, D. and Somaschini, C. (2016), "A case-study of double multi-modal bridge flutter: experimental result and numerical analysis", J. Wind Eng. Ind. Aerod., 151, 25-36. https://doi.org/10.1016/j.jweia.2016.01.004
  2. Boonyapinyo, V., Lauhatanon, Y. and Lukkunaprasit, P. (2006), "Nonlinear aerostatic stability analysis of suspension bridges", Eng. Struct., 28(5), 793-803. https://doi.org/10.1016/j.engstruct.2005.10.008
  3. Boonyapinyo, V., Yamada, H. and Miyata, T. (1994), "Windinduced 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)
  4. Chen, J. (2000), "Study on nonlinear aerostatic stability of cablesupported bridges", Ph.D. Dissertation, Tongji University, Shanghai, China. (in Chinese)
  5. Chen, J., Xiao, R.C. and Xiang H.F. (2001), "Study on parameters of aerostatic stability of long-span cable-stayed bridges", China Civil Eng. J., 34(2), 55-61. (in Chinese) https://doi.org/10.3321/j.issn:1000-131X.2001.02.010
  6. Cheng, J., Jiang, J.J., Xiao, R.C. and Xiang, H.F. (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
  7. Cheng, J., Xiao, R.C., Xiang, H.F. and Jiang, J.J. (2003), "Nasab: a finite element software for the nonlinear aerostatic stability analysis of cable-supported bridges", Adv. Eng. Softw., 34(5), 287-296. https://doi.org/10.1016/S0965-9978(03)00010-3
  8. Daugherty, R.L., Franzini, J.B. and Finnemore, E.J. (2011), Fluid Mechanics with Engineering Applications, (9th Ed.), New York, NY, USA.
  9. Diana, G., Falco, M., Bruni, S., Cigada, A., Larose, G.L., Darnsgaard, A., et al. (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. Aerod., 54-55(94), 101-113. https://doi.org/10.1016/0167-6105(94)00034-B
  10. Diana, G., Resta, F., Zasso, A., Belloli, M. and Rocchi, D. (2004), "Forced motion and free motion aeroelastic tests on a new concept dynamometric section model of the Messina suspension bridge", J. Wind Eng. Ind. Aerod., 92, 441-462. https://doi.org/10.1016/j.jweia.2004.01.005
  11. Ding, Q.S., Chen, A.R. and Xiang, H.F. (2002), "Coupled flutter analysis of long-span bridges by multimode and full-order approaches", J. Wind Eng. Ind. Aerod., 90(12), 1981-1993. https://doi.org/10.1016/S0167-6105(02)00315-X
  12. Ge, Y.J. (2011), "Wind-resistance of Long Span Suspension Bridges", China Communications Press, Beijing, China. (in Chinese)
  13. Ge, Y.J. and Xiang, H.F. (2009), "Bluff body aerodynamics application in challenging bridge span length", Proceedings of the BBAA VI International Colloquium on: Bluff Bodies Aerodynamics & Applications, Milano, Italy, July, 20-24.
  14. Hirai, A., Okauchi, I., Ito, M. and Miyata, T. (1967), "Studies on the onset wind velocity for suspension bridges", Proceedings of the International Research Seminar on Wind Effects on Buildings and Structure, Ontario: University of Toronto Press.
  15. Kavrakov, I. and Morgenthal, G. (2017), "A comparative assessment of aerodynamic models for buffeting and flutter of long-span bridges", Engineering, 3(6), 823-838. https://doi.org/10.1016/j.eng.2017.11.008
  16. Kitagawa, M. (2004), "Technology of the akashi kaikyo bridge", Struct. Control Health Monit., 11(2), 75-90. https://doi.org/10.1002/stc.31
  17. Kusano, I., Baldomir, A., Jurado, J.A. and Hernandez, S. (2014), "Reliability based design optimization of long-span bridges considering flutter", J. Wind Eng. Ind. Aerod., 135, 149-162. https://doi.org/10.1016/j.jweia.2014.10.006
  18. Laima, S. and Li, H. (2015), "Effects of gap width on flow motions around twin-box girders and vortex-induced vibrations", J. Wind Eng. Ind. Aerod., 139, 37-49. https://doi.org/10.1016/j.jweia.2015.01.009
  19. Larose, G.L. and D'auteuil, A. (2006), "One the Reynolds number sensitivity of the aerodynamics of bluff bodies with sharp edges", J. Wind Eng. Ind. Aerod., 94(5), 365-376. https://doi.org/10.1016/j.jweia.2006.01.011
  20. Lee, S., Kwon, S.D. and Yoon, J. (2014), "Reynolds number sensitivity to aerodynamic forces of twin box bridge girder", J. Wind Eng. Ind. Aerod., 127(127), 59-68. https://doi.org/10.1016/j.jweia.2014.02.004
  21. Li, H., Laima, S. and Jing, H. (2014), "Reynolds number effects on aerodynamic characteristics and vortex-induced vibration of a twin-box girder", J. Fluid. Struct., 50, 358-375. https://doi.org/10.1016/j.jfluidstructs.2014.06.027
  22. Li, J.W., Fang, C., Hou, L.M. and Wang, J. (2014), "Sensitivity analysis for aerostatic stability parameter of a long-span bridge", J. Vib. Shock, 33(4), 124-130. (in Chinese)
  23. Mannini, C. and Bartoli, G. (2015), "Aerodynamic uncertainty propagation in bridge flutter analysis", Struct. Saf., 52, 29-39. https://doi.org/10.1016/j.strusafe.2014.07.005
  24. Matsuda, K., Cooper, K.R., Tanaka, H., Tokushige, M. and Iwaski, T. (2001), "An investigation of Reynolds number effects on the steady and unsteady aerodynamic forces on a 1:10 scale bridge deck section model", J. Wind Eng. Ind. Aerod., 89(7), 619-632. https://doi.org/10.1016/S0167-6105(01)00062-9
  25. Miranda, S.D., Patruno, L., Ricci, M. and Ubertini, F. (2015), "Numerical study of a twin box bridge deck with increasing gap ratio by using RANS and LES approaches", Eng. Struct., 99, 546-558. https://doi.org/10.1016/j.engstruct.2015.05.017
  26. 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
  27. Scanlan, R.H. (1993), "Problematic in formulation of wind-force model for bridge decks", J. Struct. Eng.- ASCE, 119, 1433-1446.
  28. Schewe, G. (2001), "Reynolds-number effects in flow around more-or-less bluff bodies", J. Wind Eng. Ind. Aerod., 89(14), 1267-1289. https://doi.org/10.1016/S0167-6105(01)00158-1
  29. Schewe, G. and Larsen, A. (1998), "Reynolds number effects in the flow around a bluff bridge deck cross section", J. Wind Eng. Ind. Aerod., 74-76(2), 829-838. https://doi.org/10.1016/S0167-6105(98)00075-0
  30. Trein, C.A., Shirato, H. and Matsumoto, M. (2015), "On the effects of the gap on the unsteady pressure characteristics of two-box bridge girders", Eng. Struct., 82, 121-133. https://doi.org/10.1016/j.engstruct.2014.10.036
  31. Yang, Y., Zhou, R., Ge, Y., Mohotti, D. and Mendis, P. (2015), "Aerodynamic instability performance of twin box girders for long-span bridges", J. Wind Eng. Ind. Aerod., 145, 196-208. https://doi.org/10.1016/j.jweia.2015.06.014
  32. Yang, Y.X., Ge, Y.J. and Xiang, H.F. (2007), "Investigation on flutter mechanism of long- span bridges with 2d-3DOF method", Wind Struct., 10(5), 421-435. https://doi.org/10.12989/was.2007.10.5.421
  33. Zhang, X.J. (2007), "Influence of some factors on the aerodynamic stability of long-span suspension bridges", J. Zhejiang Univ. Technol., 95(3), 149-164. (in Chinese)
  34. Zhang, Z.T., Ge, Y.J. and Yang, Y.X. (2013), "Torsional stiffness degradation and aerostatic divergence of suspension bridge decks", J. Fluid. Struct., 40(7), 269-283. https://doi.org/10.1016/j.jfluidstructs.2013.05.001
  35. Zhu, L.D., Xiang, H.F. and Xu, Y.L. (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