Flow-induced Flutter Derivatives of Bridge Decks

Document Type : Regular Article

Authors

1 Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212000, China

2 Center for Turbulence Control, Mechanical and Automation Engineering Department, Harbin Institute of Technology (Shenzhen), Shenzhen, 518055, China

3 Department of Mechanical Engineering, Khayyam University, Mashhad, Iran

10.47176/jafm.18.4.3005

Abstract

This paper presents two-dimensional numerical simulations of the self-excited forces on two bridge decks: a streamlined one (Great Belt Bridge) and a bluff one (Sunshine Skyway Bridge). It employs forced vibration simulations using the Open-source code OpenFOAM for flutter derivative identifications. A wide sensitivity study is conducted on the effects of turbulence model, Reynolds number, vibration amplitude, and wind attack angle on flutter derivative identifications. The key findings are as follows. (i) k-ε model shows its superiority in simulating self-excited forces on a bluff bridge deck, while SST k-ω exhibits advantages in the case of a streamlined bridge deck. (ii) Compared with a streamlined bridge deck, flutter derivatives of a bluff bridge deck are more sensitive to the Reynolds number due to the generation of more vortices resulting from flow separation. Both the generation and convection of the vortices are largely affected by the Reynolds number. (iii) Flutter derivatives of the bridge decks can be considered as constants if the vertical amplitude ratio and torsional amplitude are lower than 0.025 and 2°, respectively. Increasing vibration amplitude may result in remarkable variations of some flutter derivatives. (iv) The angle of attack changes the flutter derivatives by affecting the wind pressure distribution on the bridge surface. Its impact on a bluff bridge deck is larger than on a streamlined bridge deck. Besides presenting a detailed study of identifying flutter derivatives using OpenFOAM, this research provides valuable references for setting reasonable values of the investigated factors for identifying flutter derivatives of bluff and streamlined bridge decks.

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Main Subjects


Abbas, T., Kavrakov, I., & Morgenthal, G. (2017). Methods for flutter stability analysis of long-span bridges: a review. Proceedings of the Institution of Civil Engineers-Bridge Engineering, 271-310. Thomas Telford Ltd. https://doi.org/10.1680/jbren.15.00039
Alam, M. M. (2023). Fluctuating forces on bluff bodies and their relationships with flow structures. Ocean Engineering, 273, 113870. https://doi.org/10.1016/j.oceaneng.2023.113870
Amman, O. H., Karman, T., & Woodruff, G. B. (1941). The failure of the tacoma narrows bridge. https://doi.org/10.1201/9780367815646-13
Baetke, F., Warner. H., & Wengle, H. (1990). Numerical simulation of turbulent flow over surface-mounted obstacles with sharp edges and corners. Journal of Wind Engineering and Industrial Aerodynamics, 35, 129-47. https://doi.org/10.1016/0167-6105(90)90193-g
Bhatt, R., & Alam, M. M. (2018). Vibration of a square cylinder submerged in a wake. Journal of Fluid Mechanics, 853 ,301-332. https://doi.org/10.1017/jfm.2018.573
Bombardieri, R., Cavallaro, R., Sáez de Teresa, J. L., & Karpel, M. (2019). Nonlinear aeroelasticity: a cfd-based adaptive methodology for flutter prediction. AIAA Scitech 2019 Forum (p. 1866). https://doi.org/10.2514/6.2019-1866
Brownjohn, J. M. W., & Bogunovic, J. (2001). Strategies for aeroelastic parameter identification from bridge deck free vibration data. Journal of Wind Engineering and Industrial Aerodynamics, 89, 1113-36. https://doi.org/10.1016/s0167-6105(01)00091-5
Bruno, L., & Fransos, D. (2008). Evaluation of reynolds number effects on flutter derivatives of a flat plate by means of a computational approach. Journal of Fluids and Structures, 24, 1058-76. https://doi.org/10.1016/j.jfluidstructs.2008.03.001
Bruno, L., Khris, S, & Marcillat, J. (2001). Numerical simulation of the effect of section details and partial streamlining on the aerodynamics of bridge decks. Wind and Structures, 4, 315-32. https://doi.org/10.12989/was.2001.4.4.315
Brusiani, F., Miranda, S. D., Patruno, L., Ubertini, F., & Vaona, P. (2013). On the evaluation of bridge deck flutter derivatives using RANS turbulence models. Journal of Wind Engineering Industrial Aerodynamics, 119, 39-47. https://doi.org/10.1016/j.jweia.2013.05.002
Cao, B., & Sarkar, P. (2010, May, 23-27). Identification of rational functions by forced vibration method for time-domain analysis of flexible structures. Proceedings: The Fifth International Symposium on Computational Wind Engineering, Chapel Hill. https://doi.org/10.1016/j.engstruct.2012.05.003
Davenport, & Allan, G. (1962). Buffeting of a suspension bridge by storm winds. Journal of the Structural Division, 88, 233–70. https://doi.org/10.1061/jsdeag.0000773
De Miranda, S., Patruno, L., Ricci, M., & Ubertini, F. (2015). Numerical study of a twin box bridge deck with increasing gap ratio by using RANS and LES approaches. Engineering Structures, 99, 546-58. https://doi.org/10.1016/j.engstruct.2015.05.017
Jiang, L., Mingjun, D., Haomiao, S., & Yu, R. (2018). Numerical Modeling of flow over a rectangular broad-crested weir with a sloped upstream face. Water, 10, 1663. https://doi.org/10.3390/w10111663
Körpe, D. S., Kanat, Ö. Ö., & Oktay, T. (2019). The Effects of initial y plus: numerical analysis of 3D NACA 4412 wing using γ-Reθ SST Turbulence model. Avrupa Bilim ve Teknoloji Dergisi, 692-702. https://doi.org/10.31590/ejosat.631135
Lin, C., & Alam, M. M. (2024). Intrinsic features of flow-induced stability of square cylinder. Journal of Fluid Mechanics, 988, A50. https://doi.org/10.1017/jfm.2024.445
Lin, S., Qi, W., Nikolaos, N., & Haili, L. (2019). Effects of oscillation amplitude on motion-induced forces for 5: 1 rectangular cylinders. Journal of Wind Engineering and Industrial Aerodynamics, 186, 68–83. https://doi.org/10.1016/j.jweia.2019.01.002
Mannini, C., & Bartoli, G. (2008). Investigation on the dependence of bridge deck flutter derivatives on steady angle of attack. Proc., BBAA VI Int. Colloquium on Bluff Bodies Aerodynamics and Applications. Citeseer. https://api.semanticscholar.org/CorpusID:221712605
Mannini, C., Sbragi, G., & Schewe, G. (2016). Analysis of self-excited forces for a box-girder bridge deck through unsteady RANS simulations. Journal of Fluids and Structures, 63, 57-76. https://doi.org/10.1016/j.jfluidstructs.2016.02.007
Mondal, M., Alam, M. M. (2023). Blockage effect on wakes of various bluff bodies: a review of confined flow. Ocean Engineering, 268, 115592. https://doi.org/10.1016/j.oceaneng.2023.115592
Matsumoto, M., Yoshizumi, F., Yabutani, T., Abe, K., & Nakajima, N. (1999). Flutter stabilization and heaving-branch flutter. Journal of Wind Engineering and Industrial Aerodynamics, 83, 289-99. https://doi.org/10.1016/s0167-6105(99)00079-3
Montoya, M. C., Nieto, F., Hernández, F., Kusano, I., Álvarez, A. J. & Jurado, J. Á. (2018). CFD-based aeroelastic characterization of streamlined bridge deck cross-sections subject to shape modifications using surrogate models. Journal of Wind Engineering and Industrial Aerodynamics, 177, 405-28. https://doi.org/10.1016/j.jweia.2018.01.014
Neuhaus, C., Höffer, R., & Roesler, S. (2009). Identification of 18 Flutter derivatives by forced vibration tests: A New experimental rig. Identification of 18 Flutter Derivatives by Forced Vibration Tests, 1000-04. https://api.semanticscholar.org/CorpusID:124841633
Noda, M., Utsunomiya, H., Nagao, F., Kanda, M., & Shiraishi, N. (2003). Effects of oscillation amplitude on aerodynamic derivatives. Journal of Wind Engineering Industrial Aerodynamics, 91, 101-11. https://doi.org/10.1016/s0167-6105(02)00338-0
Patruno, L. (2015). Accuracy of numerically evaluated flutter derivatives of bridge deck sections using RANS: Effects on the flutter onset velocity. Engineering Structures, 89, 49-65. https://doi.org/10.1016/j.engstruct.2015.01.034
Poulsen, N. K., Damsgaard, A., & Reinhold, T. A. (1992). Determination of flutter derivatives for the Great Belt Bridge. Journal of Wind Engineering and Industrial Aerodynamics, 41, 153–64. https://doi.org/10.1016/0167-6105(92)90403-w
Ribes, A., & Caremoli, C. (2007). Salome platform component model for numerical simulation. International Computer Software & Applications Conference. https://doi.org/10.1109/compsac.2007.185
Scanlan, R. H., & Tomo, J. (1971). Air foil and bridge deck flutter derivatives. Journal of Soil Mechanics & Foundations Div. https://doi.org/10.1061/jmcea3.0001526
Scanlan, R. H. (1993). Problematics in formulation of wind-force models for bridge decks. Journal of Engineering Mechanics, 119, 1353–75. https://doi.org/10.1061/(asce)0733-9399(1993)119:7(1353)
Schewe, G., & Larsen, A. (1998). Reynolds number effects in the flow around a bluff bridge deck cross section. Journal of Wind Engineering Industrial Aerodynamics, 74, 829-38. https://doi.org/10.1016/s0167-6105(98)00075-0
Siedziako, B., Øiseth, O., & Rønnquist, A. (2017). An enhanced forced vibration rig for wind tunnel testing of bridge deck section models in arbitrary motion. Journal of Wind Engineering and Industrial Aerodynamics, 164, 152-63. https://doi.org/10.1016/j.jweia.2017.02.011
Starossek, U., Aslan, H., & Thiesemann, L. (2009). Experimental and numerical identification of flutter derivatives for nine bridge deck sections. Wind and Structures, 12, 519. https://doi.org/10.12989/was.2009.12.6.519
Tang, H., Li, Y., & Shum, K. M. (2018). Flutter performance of long-span suspension bridges under non-uniform inflow. Advances in structural Engineering, 21, 201-13. https://doi.org/10.1177/1369433217713926
Tang, H., Shum, K. M., & Li, Y. (2019). Investigation of flutter performance of a twin-box bridge girder at large angles of attack. Journal of Wind Engineering Industrial Aerodynamics, 186, 192-203. https://doi.org/10.1016/j.jweia.2019.01.010
Wang, L., Liu, Z., & Chen, Z. (2014). Multi-state and multi-frequency forced vibration identification of flutter derivatives of bridge sections. Vibration and Shock, 37, 20-28. https://link.cnki.net/doi/10.13465/j.cnki.jvs.2018.20.003
White, F. M. (1979). Fluid mechanics (Tata McGraw-Hill Education). https://doi.org/10.1007/3-540-27223-2_1
Wu, B., Wang, Q., Liao, H., Li, Y., & Li, M. (2020). Flutter derivatives of a flat plate section and analysis of flutter instability at various wind angles of attack. Journal of Wind Engineering and Industrial Aerodynamics, 196, 104046. https://doi.org/10.1016/j.jweia.2019.104046
Xu, F., Ying, X., & Zhang, Z. (2016). Effects of exponentially modified sinusoidal oscillation and amplitude on bridge deck flutter derivatives. Journal of Bridge Engineering, 21, 06016001. https://doi.org/10.1061/(asce)be.1943-5592.0000884
Xu, F., & Zhang, Z. (2017). Free vibration numerical simulation technique for extracting flutter derivatives of bridge decks. Journal of Wind Engineering and Industrial Aerodynamics, 170, 226–37. https://doi.org/10.1016/j.jweia.2017.08.018
Zhang, M., Xu, F., & Han, Y. (2020a). Assessment of wind-induced nonlinear post-critical performance of bridge decks. Journal of Wind Engineering and Industrial Aerodynamics, 203, 104251. https://doi.org/10.1016/j.jweia.2020.104251
Zhang, M., Xu, F., Wu, T., & Zhang, Z. (2020b). Postflutter Analysis of bridge decks using aerodynamic-describing functions. Journal of Bridge Engineering, 25, 04020046. https://doi.org/10.1061/(asce)be.1943-5592.0001587
Zhang, M., Xu, F., Zhang, Z., & Ying, X. (2019). Energy budget analysis and engineering modeling of post-flutter limit cycle oscillation of a bridge deck. Journal of Wind Engineering and Industrial Aerodynamics, 188, 410-20. https://doi.org/10.1016/j.jweia.2019.03.010
Zhang, Z., & Zhang, W. (2017). Experimental investigation on relations between flutter derivatives and aerodynamic admittances. Journal of Bridge Engineering, 22, 04017068. https://doi.org/10.1061/(asce)be.1943-5592.0001117
Zhao, L, Wu, F, & Pan, J. (2021). Wind field characteristics and wind-induced buffeting response of a long-span bridge during the landing of a strong typhoon Journal of Aerodynamics, 39 , 86-97.  https://doi.org/10.7638/kqdlxxb-2021.0066
Zheng, Q., & Alam, M. M. (2017). Intrinsic features of flow past three square prisms in side-by-side arrangement. Journal of Fluid Mechanics, 826, 996 – 1033. https://doi.org/10.1017/jfm.2017.378
Zheng, Q., & Alam, M. M. (2019). Evolution of the wake of three inline square prisms. Physical Review Fluids, 4(10), 104701. https://doi.org/10.1103/physrevfluids.4.104701
Zhou, Z., & Ma, R. (2010). Numerical simulation study of the Reynolds number effect on two bridge decks based on the deterministic vortex method. Wind and Structures, 13, 347-62. https://doi.org/10.12989/was.2010.13.4.347
Zhou, Y., Hao, J., & Alam, M. M. (2024). Wake of two tandem square cylinders. Journal of Fluid Mechanics, 983, A3. https://doi.org/10.1017/jfm.2024.119