Abstract
The aerodynamic shape of a closed-box girder plays an important role in the wind-induced stabilization of long-span suspension bridges. The purpose of this study is to investigate the effects of the combination of five aspect ratios and a downward vertical central stabilizer (DVCS) on nonlinear flutter and aerostatic behaviors of a super long-span suspension bridge with closed-box girders. Through conducting a series of wind-tunnel tests and nonlinear finite element analysis, the results show that the nonlinear self-excited forces and the critical wind speed (Ucr) gradually increase as the increase of the aspect ratio (i.e. the width to depth ratios). Furthermore, the application of 20% deck depth DVCS could significantly increase the nonlinear self-excited forces and Ucr for small aspect ratios of 7.9 and 7.1. Particularly, the installation of the DVCS could change the flutter divergence patterns of the bridge from soft flutter to hard flutter, especially for a relatively small aspect ratio. In addition, the aerostatic force coefficients and torsional divergence critical wind speeds of the larger aspect ratio with DVCS are significantly larger than that without DVCS. A relatively small aspect ratio of the bridge has better aerostatic performance than that with a larger aspect ratio.
Similar content being viewed by others
Data availability
The data used to support the findings of this study are available from the corresponding author upon request.
References
Wu, T., Kareem, A., Ge, Y.J.: Bridge aerodynamics and aeroelasticity: a comparison of modeling schemes Linear and nonlinear aeroelastic analysis frameworks for cable-supported bridges. Nonlinear Dyn. 74, 487–516 (2013)
Larsen, A., Larose, G.L.: Dynamic wind effects on suspension and cable-stayed bridges. J. Sound. Vibr 334(6), 2–28 (2015)
Lacarbonara, W.: Nonlinear Structural Mechanics. Theory, Dynamical Phenomena, and Modeling, 1st edn. Springer, New York (2012)
Arena, A., Lacarbonara, W.: Nonlinear parametric modeling of suspension bridges under aeroelastic forces: torsional divergence and flutter. Nonlinear Dyn. 70(4), 2487–2510 (2012)
Zhou, R., Ge, Y.J., Liu, Q.K., et al.: Experimental and numerical studies of wind-resistance performance of twin-box girder bridges with various grid plates. Thin Wall Struct 166, 108088 (2021)
Yang, Y.X., Zhu, J.B., Zhou, R., et al.: Aerodynamic performance evaluation of steel-UHPC composite deck cable-stayed bridges with VIV countermeasure[J]. J. Constr. Steel. Res. 203, 107815 (2023)
Liu, S.Y., Zhao, L., Fang, G.S., et al.: Nonlinear aerodynamic characteristics and modeling of a quasi-flat plate at torsional vibration: effects of angle of attack and vibration amplitude. Nonlinear Dyn. 107, 2027–2051 (2022)
Arena, A., Lacarbonara, W., Valentine, D.T., et al.: Aeroelastic behavior of long-span suspension bridges under arbitrary wind profiles. J. Fluids Struct. 50, 105–119 (2014)
Larsen, A., Wall, A.: Shaping of bridge box girders to avoid vortex shedding response. J. Wind Eng. Ind. Aerodyn 104, 159–165 (2012)
He, X.H., Li, H., Wang, H., et al.: Effects of geometrical parameters on the aerodynamic characteristics of a streamlined flat box girder. J. Wind Eng. Ind. Aerodyn. 170, 56–67 (2017)
Yang, Y.X., Zhou, R., Ge, Y.J., et al.: Sensitivity analysis of geometrical parameters on aerodynamic performance of closed-box girder bridges. Sensors 18(7), 2053 (2018)
Zhou, R., Ge, Y.J., Liu, S.Y., et al.: Nonlinear flutter control of a long-span closed-box girder bridge with vertical stabilizers subjected to various turbulence flows. Thin wall Struct. 149, 106245 (2020)
Zhou, R., Ge, Y.J., Yang, Y.X., et al.: Wind-induced nonlinear behaviors of twin-box girder bridges with various aerodynamic shapes. Nonlinear Dyn. 94, 1095–1115 (2018)
Zhou, R., Ge, Y.J., Yang, Y.X., et al.: Nonlinear behaviors of the flutter occurrences for a twin-box girder bridge with passive countermeasures. J. Sound Vib. 447, 221–235 (2019)
Zhou, R., Lu, P., Gao, X. D., et al.: Role of moveable guide vane with various configurations in controlling the vortex-induced vibration of twin-box girder suspension bridges: An experimental investigation[J]. Eng. Struct. 281, 115762 (2023)
Zhu, L.D., Gao, G.Z., Zhu, Q.: Recent advances, future application and challenges in nonlinear flutter theory of long span bridges. J. Wind Eng. Ind. Aerodyn. 206, 104307 (2020)
Yang, Y.X., Ge, Y.J., Zhou, R., et al.: Aerodynamic countermeasure schemes of super long-span suspension bridges with various aspect ratios. Int J. Struct. Stab. Dyn. 20(5), 2050061 (2020)
Zhou, R., Yang, Y.X., Ge, Y.J., et al.: Comprehensive evaluation of aerodynamic performance of twin-box girder bridges with vertical stabilizers[J]. J. Wind Eng. Ind. Aerodyn. 175, 317–327 (2018)
Arena, A., Lacarbonara, W., Marzocca, P.: Post-critical behavior of suspension bridges under nonlinear aerodynamic loading[J]. J. Comput. Nonlinear Dyn. 11(1), 011005 (2015)
Andersen, M.S., Johansson, J., Brandt, A., et al.: Aerodynamic stability of long span suspension bridges with low torsional natural frequencies. Eng. Struct. 120(1), 82–91 (2016)
Zhang, M.J., Xu, F.Y., Han, Y.: Assessment of wind-induced nonlinear post-critical performance of bridge decks. J. Wind Eng. Ind. Aerodyn. 203, 104251 (2020)
Wang, Z.X., Zhang, Z.T., Qie, K.: Experimental Investigation of Effects of Wind Yaw Angles and Turbulence on Postflutter Behaviors of a Suspension Bridge Model. J. Bridge Eng. 27(4), 269–283 (2022)
Chen, X.Z., Kareem, A.: Aeroelastic analysis of bridges: effects of turbulence and aerodynamic nonlinearities. J. Eng. Mech. 129(8), 885–895 (2003)
Diana, G., Rocchi, D., Argentini, T., et al.: Aerodynamic instability of a bridge deck section model: linear and nonlinear approach to force modeling. J. Wind Eng. Ind. Aerodyn. 98(6–7), 363–374 (2010)
Wu, T., Kareem, A.: A nonlinear analysis framework for bluff-body aerodynamics: a Volterra representation of the solution of Navier-Stokes equations. J. Fluid Struct. 54, 479–502 (2015)
Gao, G.Z., Zhu, L., Li, J.W., et al.: A novel two-degree-of-freedom model of nonlinear self-excited force for coupled flutter instability of bridge decks. J. Sound Vib. 480, 115406 (2020)
Li, Z.G., Wu, B., Liao, H.L., et al.: Influence of the initial amplitude on the flutter performance of a 2D section and 3D full bridge with a streamlined box girder. J. Wind Eng. Ind. Aerodyn. 222, 104916 (2022)
Li, W.J., Laima, S.J., Jin, X.W., et al.: A novel long short-term memory neural-network-based self-excited force model of limit cycle oscillations of nonlinear flutter for various aerodynamic configurations. Nonlinear Dyn. 100, 2071–2087 (2020)
Rizzo, F., Caracoglia, L.: Artificial Neural Network model to predict the flutter velocity of suspension bridges. Comput. Struct. 233, 106236 (2020)
Boonyapinyo, V., Lauhatanon, Y., Lukkunaprasit, P.: Nonlinear aerostatic stability analysis of suspension bridges. Eng. Struct. 28(5), 793–803 (2006)
Zhang, W.M., Ge, Y.J., Levitan, M.L.: Nonlinear aerostatic stability analysis of new suspension bridges with multiple main spans. J. Braz. Soc. Mech. Sci 35(2), 143–151 (2013)
Zhang, Z.T., Zhu, L.D.: Wind-induced symmetric and asymmetric static torsional divergence of flexible suspension bridges. J. Fluid Struct. 103, 103263 (2021)
Montoya, M.C., Hernández, S., Kareem, A., et al.: Efficient modal-based method for analyzing nonlinear aerostatic stability of long-span bridges. Eng. Struct. 244, 112556 (2021)
Sarwar, M.W., Ishihara, T., Shimada, K., et al.: Prediction of aerodynamic characteristics of a box girder bridge Section using the LES turbulence model. J. Wind Eng. Ind. Aerodyn. 96, 1895–1911 (2008)
Sanglli, L.A., Braun, A.L.: A fluid-structure interaction model for numerical simulation of bridge flutter using sectional models with active control devices. Preliminary results. J. Sound Vib. 477, 115308 (2020)
Acknowledgements
The authors gratefully acknowledge the support for the research work jointly provided by the National Natural Science Foundation of China (Nos. U2005216, 52178503, 51908374), the Guangdong Natural Science Foundation (No.2023A1515030148 and 2022A1515010665), the Shenzhen Science and Technology Program under grant (Nos. JCYJ20220531101609020, ZDSYS20201020162400001 and KQTD20180412181337494), the Innovation research group project of Natural Science Foundation of Hebei Province (E2022210078) the State Key Laboratory of Mechanical Behavior and System Safety of Traffic, Engineering Structures, Shijiazhuang Tiedao University (No. KF2020-19), and Key Laboratory for Resilient Infrastructures of Coastal Cities (Shenzhen University), Ministry of Education.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare no potential conflicts of interest concerning the research, authorship, and/or publications of this article.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Zhou, R., Ge, Y., Yang, Y. et al. Effects of vertical central stabilizers on nonlinear wind-induced stabilization of a closed-box girder suspension bridge with various aspect ratios. Nonlinear Dyn 111, 9127–9143 (2023). https://doi.org/10.1007/s11071-023-08358-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11071-023-08358-1