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http://dx.doi.org/10.12989/was.2018.27.6.381

Nonlinear fluid-structure interaction of bridge deck: CFD analysis and semi-analytical modeling  

Grinderslev, Christian (Department of Wind Energy, Technical University of Denmark (Riso Campus))
Lubek, Mikkel (COWI)
Zhang, Zili (Department of Engineering, Aarhus University)
Publication Information
Wind and Structures / v.27, no.6, 2018 , pp. 381-397 More about this Journal
Abstract
Nonlinear behavior in fluid-structure interaction (FSI) of bridge decks becomes increasingly significant for modern bridges with increasing spans, larger flexibility and new aerodynamic deck configurations. Better understanding of the nonlinear aeroelasticity of bridge decks and further development of reduced-order nonlinear models for the aeroelastic forces become necessary. In this paper, the amplitude-dependent and neutral angle dependent nonlinearities of the motion-induced loads are further highlighted by series of computational fluid dynamics (CFD) simulations. An effort has been made to investigate a semi-analytical time-domain model of the nonlinear motion induced loads on the deck, which enables nonlinear time domain simulations of the aeroelastic responses of the bridge deck. First, the computational schemes used here are validated through theoretically well-known cases. Then, static aerodynamic coefficients of the Great Belt East Bridge (GBEB) cross section are evaluated at various angles of attack, leading to the so-called nonlinear backbone curves. Flutter derivatives of the bridge are identified by CFD simulations using forced harmonic motion of the cross-section with various frequencies. By varying the amplitude of the forced motion, it is observed that the identified flutter derivatives are amplitude-dependent, especially for $A^*_2$ and $H^*_2$ parameters. Another nonlinear feature is observed from the change of hysteresis loop (between angle of attack and lift/moment) when the neutral angles of the cross-section are changed. Based on the CFD results, a semi-analytical time-domain model for describing the nonlinear motion-induced loads is proposed and calibrated. This model is based on accounting for the delay effect with respect to the nonlinear backbone curve and is established in the state-space form. Reasonable agreement between the results from the semi-analytical model and CFD demonstrates the potential application of the proposed model for nonlinear aeroelastic analysis of bridge decks.
Keywords
computational fluid dynamics; flutter derivatives; nonlinear aeroelasticity; nonlinear semi-analytical model;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 Bruno, L. and Mancini, G. (2002), "Importance of deck details in bridge aerodynamics", Struct. Eng. Int., 12(4), 289-294.   DOI
2 Brusiani, F., De Miranda, S., Patruno, L., Ubertini, F. and Vaona, P. (2013), "On the evaluation of bridge deck flutter derivatives using RANS turbulence models", J. Wind Eng. Ind. Aerod., 119, 39-47.   DOI
3 Chen, X. and Kareem, A. (2003), "Aeroelastic analysis of bridges: Effects of turbulence and aerodynamic nonlinearities", J. Eng. Mech., 129(8), 885-895.   DOI
4 Chen, X., Matsumoto, M. and Kareem, A. (2000), "Time domain flutter and buffeting response analysis of bridges", J. Eng. Mech., 126(1), 7-16.   DOI
5 Davenport, A.G., King, J.P.C. and Larose, G.L. (1992), "Taut strip model tests", Aerod. Large Brid., 113-124.
6 Demartino, C. and Ricciardelli, F. (2017), "Aerodynamics of nominally circular cylinders: A review of experimental results for Civil Engineering applications", Eng. Struct., 137, 76-114.   DOI
7 Diana G., Bruni S., Cigada A. and Collina A. (1993), "Turbulence effect on flutter velocity in long span suspended bridges", J. Wind Eng. Ind. Aerod., 48(2-3), 329-342.   DOI
8 Diana, G., Resta, F. and Rocchi, D. (2008), "A new numerical approach to reproduce bridge aerodynamic non-linearities in time domain", J. Wind Eng. Ind. Aerod., 96(10), 1871-1884.   DOI
9 Diana, G., Rocchi, D., Argentini, T. and Muggiasca, S. (2010), "Aerodynamic instability of a bridge deck section model: Linear and nonlinear approach to force modeling", J. Wind Eng. Ind. Aerod., 98(6), 363-374.   DOI
10 Dutta, S., Panigrahi, P.K. and Muralidhar, K. (2008), "Experimental investigation of flow past a square cylinder at an angle of incidence", J. Eng. Mech., 134(9), 788-803.   DOI
11 Fung, Y.C. (2002), An Introduction to the Theory of Aeroelasticity, Courier Corporation.
12 Guo, J., Zheng, S., Zhu, J., Tang, Y. and Hong, C. (2017), "Study on post-flutter state of streamlined steel box girder based on 2 DOF coupling flutter theory", Wind Struct., 25(4), 343-360.   DOI
13 Kovacs, I., Svensson, H. and Jordet, E. (1992), "Analytical aerodynamic investigation of cable-stayed Helgeland bridge", J. Struct. Eng., 118(1), 147-168.   DOI
14 Larsen, J.W., Nielsen, S.R.K. and Krenk, S. (2007), "Dynamic stall model for wind turbine airfoils", J. Fluid Struct., 23(7), 959-982.   DOI
15 Liaw, K. (2005), Simulation of flow around bluff bodies and bridge deck sections using CFD, Doctoral dissertation, University of Nottingham.
16 Lysenko, D.A., Ertesvag, I.S. and Rian, K.E. (2012), "Large-eddy simulation of the flow over a circular cylinder at Reynolds number 3900 using the OpenFOAM toolbox", Flow Turbul. Combust., 89(4), 491-518.   DOI
17 Mannini, C., Sbragi, G. and Schewe, G. (2016), "Analysis of self-excited forces for a box-girder bridge deck through unsteady RANS simulations", J. Wind Eng. Ind. Aerod., 63, 57-76.
18 Patruno, L. (2015), "Accuracy of numerically evaluated flutter derivatives of bridge deck sections using RANS: Effects on the flutter onset velocity", Eng. Struct., 89, 49-65.   DOI
19 Menter, F.R., Kuntz, M. and Langtry, R. (2003), "Ten years of industrial experience with the SST turbulence model", Turbul. Heat Mass Trans, 4(1), 625-632.
20 Nieto, F., Hernandez, S., Jurado, J.A. and Baldomir, A. (2010), "CFD practical applicaion in conceptual design of a 425 m cable-stayed bridge", Wind Struct., 13(4), 309-326.   DOI
21 Reinhold, T.A., Brinch, M. and Damsgaard, A. 1992, "Wind-Tunnel tests for the Great Belt Link", Aerod. Large Brid., 255-267.
22 Saha, A.K., Biswas, G. and Muralidhar, K. (2003), "Threedimensional study of flow past a square cylinder at low Reynolds numbers", Int. J. Heat Fluid Fl., 24(1), 54-66.   DOI
23 Scanlan, R.H. (1978), "The action of flexible bridges under wind, 1: Flutter theory, J. Sound Vib., 60(2), 187-199.   DOI
24 Simiu, E. and Scanlan, R.H. (1996), Wind Effects on Structures, Wiley.
25 Staerdahl, J.W., Sorensen, N.N. and Nielsen, S.R.K. (2007), "Aeroelastic stability of suspension bridges using CFD", Proceedings of the IASS Symposium.
26 Starossek, U., Aslan, H. and Thiesemann, L. (2009), "Experimental and numerical identification of flutter derivatives for nine bridge deck sections", Wind Struct., 12(6), 519-540.   DOI
27 Sumer, B.M. and Fredsoe, J. (1997), "Hydrodynamics Around Cylindrical Structures", Adv. Ser. Ocean Eng.
28 Tang, H., Li, Y., Wang, Y. and Tao, Q. (2017), "Aerodynamic optimization for flutter performance of steel truss stiffening girder at large angles of attack", J. Fluid Struct., 168, 260-270.
29 Wu, T. and Kareem, A. (2013a), "A nonlinear convolution scheme to simulate bridge aerodynamics", Comput. Struct., 128, 259-271.   DOI
30 Wu, T. and Kareem, A. (2013), "Aerodynamics and aeroelasticity of cable-supported bridges: Identification of nonlinear features", J. Eng. Mech., 139(12), 1886-1893.   DOI
31 Wu, T. and Kareem, A. (2013b), "Bridge aerodynamics and aeroelasticity: A comparison of modeling schemes", J. Fluid Struct., 43, 347-370.   DOI
32 Wu, T. and Kareem, A. (2015), "A nonlinear analysis framework for bluff-body aerodynamics: A Volterra representation of the solution of Navier-Stokes equations", J. Fluid Struct., 54, 479-502.   DOI