Abstract
In this paper, deck models of a cable stayed bridge are generated in ABAQUS-finite element program once using only CFD model (one-way fluid-structure interaction) and another by using both the CFD model and the CSD model together (two-way fluid-structure interaction) in a co-simulation. Shedding frequencies for the associated wind velocities in the lock-in region are calculated in both approaches. The results are validated with Simiu and Scanlan results. The lift and drag coefficients are determined for the two approaches and the latter results are validated with the flat plate theory results by Munson and coauthors. A decrease in the critical wind velocity and the shedding frequencies considering two-way approach was determined compared to those obtained in the one-way approach. The results of the lift and drag forces in the two-way approach showed appreciable decrease in their values. It was concluded that the two-way approach predicts earlier vortex induced vibration for lower critical wind velocities and lock-in phenomena will appear at lower natural frequencies of the long span bridges. This helps the designers to efficiently plan and consider for the design and safety of the long span bridge against this type of vibration.
Similar content being viewed by others
References
Budarapu P R, Narayana T S S, Rammohan B, Rabczuk T. Directionality of sound radiation from rectangular panels. Applied Acoustics, 2015, 89: 128–140
Yang S W, Budarapu P R, Mahapatra D R, Bordas S, Zi G, Rabczuk T. A meshless adaptive multiscale method for fracture. Computational Materials Science, 2015, 96B: 382–395
Budarapu P R, Gracie R, Yang S W, Zhuang X, Rabczuk T. Efficient coarse graining in multiscale modeling of fracture. Theoretical and Applied Fracture Mechanics, 2014, 69: 126–143
Budarapu P R, Gracie R, Bordas S, Rabczuk T. An adaptive multiscale method for quasi-static crack growth. Computational Mechanics, 2014, 53(6): 1129–1148
Talebi H, Silani M, Bordas S, Kerfriden P, Rabczuk T. A computational library for multiscale modelling of material failure. Computational Mechanics, 2014, 53(5): 1047–1071
Talebi H, Silani M, Bordas S, Kerfriden P, Rabczuk T. Molecular dynamics/XFEM coupling by a three-dimensional extended bridging domain with applications to dynamic brittle fracture. International Journal for Multiscale Computational Engineering, 2013, 11(6): 527–541
Amiri F, Milan D, Shen Y, Rabczuk T, Arroyo M. Phase-field modeling of fracture in linear thin shells. Theoretical and Applied Fracture Mechanics, 2014, 69: 102–109
Zhuang X, Huang R, Zhu H, Askes H, Mathisen K. A new and simple locking-free triangular thick plate element using independent shear degrees of freedom. Finite Elements in Analysis and Design, 2013, 75: 1–7
Zhuang X, Augarde C, Mathisen K. Fracture modelling using meshless methods and level sets in 3D: framework and modelling. International Journal for Numerical Methods in Engineering, 2012, 92(11): 969–998
Cai Y, Zhu H, Zhuang X. A continuous/discontinuous deformation analysis (CDDA) method based on deformable blocks for fracture modelling. Frontiers of Structural & Civil Engineering, 2014, 7(4): 369–378
Rabczuk T, Belytschko T. Cracking particles: a simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343
Rabczuk T, Belytschko T, Xiao S P. Stable particle methods based on Lagrangian kernels. Computer Methods in Applied Mechanics and Engineering, 2004, 193(12-14): 1035–1063
Rabczuk T, Akkermann J, Eibl J. A numerical model for reinforced concrete structures. International Journal of Solids and Structures, 2005, 42(5-6): 1327–1354
Rabczuk T, Eibl J. Numerical analysis of prestressed concrete beams using a coupled element free Galerkin/nite element method. International Journal of Solids and Structures, 2004, 41(3-4): 1061–1080
Rabczuk T, Belytschko T. Adaptivity for structured meshfree particle methods in 2D and 3D. International Journal for Numerical Methods in Engineering, 2005, 63(11): 1559–1582
Zi G, Rabczuk T, Wall WA. Extended meshfree methods without branch enrichment for cohesive cracks. Computational Mechanics, 2007, 40(2): 367–382
Rabczuk T, Belytschko T. Application of particle methods to static fracture of reinforced concrete structures. International Journal of Fracture, 2006, 137(1-4): 19–49
Rabczuk T, Bordas S, Zi G. A three-dimensional meshfree method for continuous multiple crack initiation, nucleation and propagation in statics and dynamics. Computational Mechanics, 2007, 40 (3): 473–495
Bordas S, Rabczuk T. Zi. G. Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by extrinsic discontinuous enrichment of meshfree methods without asymptotic enrichment. Engineering Fracture Mechanics, 2008, 75 (5): 943–960
Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H. A geometrically nonlinear three dimensional cohesive crack method for reinforced concrete structures. Engineering Fracture Mechanics, 2008, 75 (16): 4740–4758
Rabczuk T, Bordas S, Zi G. On three-dimensional modelling of crack growth using partition of unity methods. Computers & Structures, 2010, 88(23-24): 1391–1411
Onate E, Garcia J. A Finite Element Method for Fluid-Structure Interaction with Surface Waves Using A Finite Calculus Formulation. International Centre for Numerical Methods in Engineering. Universidad Politecnica de Cataluna, 2001, PI208: 1–34
Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H. A simple and robust three-dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering, 2010, 199(37-40): 2437–2455
Nguyen-Thanh N, Valizadeh N, Nguyen M N, Nguyen-Xuan H, Zhuang X, Areias P, Zi G, Bazilevs Y, De Lorenzis L, Rabczuk T. An extended isogeometric thin shell analysis based on Kirchho-Love theory. Computer Methods in Applied Mechanics and Engineering, 2015, 284: 265–291
Areias P, Rabczuk T. Finite strain fracture of plates and shells with configurational forces and edge rotation. International Journal for Numerical Methods in Engineering, 2013, 94(12): 1099–1122
Chau-Dinh T, Zi G, Lee P S, Song J H, Rabczuk T. Phantom-node method for shell models with arbitrary cracks. Computers & Structures, 2012, 92–93: 242–256
Nguyen-Thanh N, Kiendl J, Nguyen-Xuan H, Wuchner R, Bletzinger K U, Bazilevs Y, Rabczuk T. Rotation free isogeometric thin shell analysis using PHT-splines. Computer Methods in Applied Mechanics and Engineering, 2011, 200(47-48): 3410–3424
Nguyen-Thanh N, Rabczuk T, Nguyen-Xuan H, Bordas S. A smoothed finite element method for shell analysis. Computer Methods in Applied Mechanics and Engineering, 2008, 198(2): 165–177
Thai H C, Nguyen-Xuan H, Bordas S, Nguyen-Thanh N, Rabczuk T. Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory. Mechanics of Advanced Materials and Structures, 2015, 22(6): 451–469
Thai C H, Ferreira A J M, Bordas S, Rabczuk T, Nguyen-Xuan H. Isogeometric analysis of laminated composite and sandwich plates using a new inversetrigonometric shear deformation theory. European Journal of Mechanics. A, Solids, 2014, 43: 89–108
Phan-Dao H, Nguyen-Xuan H, Thai-Hoang C, Nguyen-Thoi T, Rabczuk T. An edge-based smoothed finite element method for analysis of laminated composite plates. International Journal of Computational Methods, 2013, 10(1): 1340005
Valizadeh N, Natarajan S, Gonzalez-Estrada O A, Rabczuk T. Tinh Quoc Bui, Bordas S.P.A.: NURBS-based nite element analysis of functionally graded plates: static bending, vibration, buckling and flutter. Composite Structures, 2013, 99: 309–326
Thai C H, Nguyen-Xuan H, Nguyen-Thanh N, Le T H, Nguyen-Thoi T, Rabczuk T. Static, free vibration and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach. International Journal for Numerical Methods in Engineering, 2012, 91(6): 571–603
Nguyen-Xuan H, Rabczuk T, Bordas S, Debongnie J F. A smoothed finite element method for plate analysis. Computer Methods in Applied Mechanics and Engineering, 2008, 197(13–16): 1184–1203
Rabczuk T, Zi G. A meshfree method based on the local partition of unity for cohesive cracks. Computational Mechanics, 2007, 39 (6): 743–760
Areias P, Msekh M A, Rabczuk T. Damage and fracture algorithm using the screened Poisson equation and local remeshing. Engineering Fracture Mechanics, 2016, 158: 116–143
Areias P, Rabczuk T, Camanho P P. Finite strain fracture of 2D problems with injected anisotropic softening elements. Theoretical and Applied Fracture Mechanics, 2014, 72: 50–63
Areias P, Rabczuk T, Dias-da- Costa D. Element-wise fracture algorithm based on rotation of edges. Engineering Fracture Mechanics, 2013, 110: 113–137
Areias P, Rabczuk T, Camanho P P. Initially rigid cohesive laws and fracture based on edge rotations. Computational Mechanics, 2013, 52(4): 931–947
Ghorashi S, Valizadeh N, Mohammadi S, Rabczuk T. T-spline based XIGA for fracture analysis of orthotropic Media. Computers & Structures, 2015, 147: 138–146
Nguyen-Thanh N, Valizadeh N, Nguyen M N, Nguyen-Xuan H, Zhuang X, Areias P, Zi G, Bazilevs Y, De Lorenzis L, Rabczuk T. An extended isogeometric thin shell analysis based on Kirchhoff-Love theory. Computer Methods in Applied Mechanics and Engineering, 2015, 284: 265–291
Ghasemi H, Brighenti R, Zhuang X, Muthu J, Rabczuk T. Optimum fiber content and distribution in fiber-reinforced solids using a reliability and NURBS based sequential optimization approach. Structural and Multidisciplinary Optimization, 2015, 51 (1): 99–112
Amiri F, Anitescu C, Arroyo M, Bordas S, Rabczuk T. XLME interpolants, a seamless bridge between XFEM and enriched meshless methods. Computational Mechanics, 2014, 53(1): 45–57
Nanthakumar S, Lahmer T, Zhuang X, Zi G, Rabczuk T. Detection of material interfaces using a regularized level set method in piezoelectric structures. Inverse Problems in Science and Engineering, 2016, 24(1): 153–176
Vu-Bac N, Lahmer T, Zhuang X, Nguyen-Thoi T, Rabczuk T. A software framework for probabilistic sensitivity analysis for computationally expensive models. Advances in Engineering Software, 2016, 100: 19–31
Nguyen B H, Tran H D, Anitescu C, Zhuang X, Rabczuk T. An isogeometric symmetric galerkin boundary element method for elastostatic analysis. Computer Methods in Applied Mechanics and Engineering, 2016, 306: 252–275
Quoc T T, Rabczuk T, Meschke G, Bazilevs Y. A higher-order stress-based gradient-enhanced damage model based on isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 2016, 304: 584–604
Nguyen V P, Anitescu C, Bordas S, Rabczuk T. Isogeometric analysis: An overview and computer implementation aspects. Mathematics and Computers in Simulations, 2015, 117, 4190: 89–116
Valizadeh N, Bazilevs Y, Chen J S, Rabczuk T. A coupled IGAmeshfree discretization of arbitrary order of accuracy and without global geometry parameterization. Computer Methods in Applied Mechanics and Engineering, 2015, 293: 20–37
Anitescu C, Jia Y, Zhang Y, Rabczuk T. An isogeometric collocation method using superconvergent points. Computer Methods in Applied Mechanics and Engineering, 2015, 284: 1073–1097
Talebi H, Silani M, Rabczuk T. Concurrent multiscale modelling of three dimensional crack and dislocation propagation. Advances in Engineering Software, 2015, 80: 82–92
Santiago B, Ramon C. On some fluid structure iterative algorithms using pressure segregation methods, application to aeroelasticity. International Journal for Numerical Methods in Engineering, 2007, 72(1): 46–71
Frandsen J B. Numerical bridge deck studies using finite elements Part I: flutter. Journal of Fluids and Structures, 2004, 19(2): 171–191
Vazquez J G V. Nonlinear Analysis of Orthotropic Membrane and Shell Structures Including Fluid-Structure Interaction. Ph D dissertation, Barcelona: Department of resistance of materials and structures and engineering, Universitat Politecnica de Catalunya, 2007
Rabczuk T, Eibl J, Stempniewski L. Simulation of high velocity concrete fragmentation using SPH/MLSPH. International Journal for Numerical Methods in Engineering, 2003, 56(10): 1421–1444
Rabczuk T, Eibl J, Stempniewski L. Numerical analysis of high speed concrete fragmentation using a meshfree Lagrangian method. Engineering Fracture Mechanics, 2004, 71(4-6): 547–556
Rabczuk T, Eibl J. Modeling dynamic failure of concrete with meshfree particle methods. International Journal of Impact Engineering, 2006, 32(11): 1878–1897
Rabczuk T, Samaniego E, Belytschko T. Simplied model for predicting impulsive loads on submerged structures to account for fluid-structure interaction. International Journal of Impact Engineering, 2007, 34(2): 163–177
Rabczuk T, Areias P, Belytschko T. A simplied meshfree method for shear bands with cohesive surfaces. International Journal for Numerical Methods in Engineering, 2007, 69(5): 993–1021
Rabczuk T, Samaniego E. Discontinuous modelling of shear bands using adaptive meshfree methods. Computer Methods in Applied Mechanics and Engineering, 2008, 197(6-8): 641–658
Rabczuk T, Belytschko T. A three dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 2007, 196(29–30): 2777–2799
Rabczuk T, Gracie R, Song J H, Belytschko T. Immersed particle method for fluid-structure interaction. International Journal for Numerical Methods in Engineering, 2010, 81(1): 48–71
Rabczuk T, Areias P, Belytschko T. A meshfree thin shell method for nonlinear dynamic fracture. International Journal for Numerical Methods in Engineering, 2007, 72(5): 524–548
Budarapu P R, Javvaji B, Sutrakar V K, Roy Mahapatra D, Zi G, Rabczuk T. Crack propagation in Graphene. Journal of Applied Physics, 2015, 118(6): 064307
Sudhir Sastry Y B, Budarapu P R, Madhavi N, Krishna Y. Buckling analysis of thin wall stiffened composite panels. Computational Materials Science, 2015, 96B: 459–471
Sudhir Sastry Y B, Budarapu P R, Krishna Y, Devaraj S. Studies on ballistic impact of the composite panels. Theoretical and Applied Fracture Mechanics, 2014, 72: 2–12
Budarapu P R, Sudhir Sastry Y B, Javvaji B, Mahapatra D R. Vibration analysis of multi-walled carbon nanotubes embedded in elastic medium. Frontiers of Structural and Civil Engineering, 2014, 8(2): 151–159
Budarapu P R, Sudhir Sastry Y B, Natarajan R. Design concepts of an aircraft wing: composite and morphing airfoil with auxetic structures. Frontiers of Structural and Civil Engineering, (accepted for publication)
Hou G, Wang J, Layton A. Numerical methods for fluid-structure interaction-A review. Journal of Communications in Computational Physics, 2012, 12(2): 337–377
Raja R S. Coupled fluid structure interaction analysis on a cylinder exposed to ocean wave loading. M.Sc.[dissertation]. Goteborg: Department of Applied Mechanics, Chalmers University of Technology, 2012
Schmucker H, Flemming F, Coulson S. Two-Way Coupled Fluid Structure Interaction Simulation of a Propeller Turbine. International Journal of Fluid Machinery and Systems, 2010, 3(4): 342–351
Iliev O, Mikelic A, Turek S, Popova P. Fluid structure interaction problems in deformable porous media: Toward permeability of deformable porous media. Fraunhofer-Institut für Techno-und Wirtschaftsmathematik ITWM, 2004, 65, 1–39
Liaghat T. Two Way Fluid Structure Coupling Vibration and Damping Analysis of an Oscillating Hydrofoil. Master Thesis, Montreal: Department of Mechanical Engineering, Polytechnic School of Montreal, 2014
Benra F K, Dohmen H J, Pei J, Schuster S, Wan B. A Comparison of one-way and two-way coupling methods for numerical analysis of fluid-structure interactions. Journal of Applied Mathematics, 2011, 853560: 1–16
Bijl H, Alexander H, Zuijlen V, Bosscher S. Two Level Algorithms for Partitioned Fluid-Structure Interaction Computations. European Conference on Computational Fluid Dynamics, Delft, Netherland, September 5–8, 2006
Razzaq M, Tsotskas C, Turek S, Hron J, Kipouros T, Savill M. Insight into Fluid Structure Interaction Benchmarking through Multi-Objective Optimization. Wiley InterScience, 2010, 2: 1–25
Forster C. Robust Methods for Fluid-Structure Interaction With Stabilized Finite Elements. Dissertation for the Doctoral Degree, Stuttgart: Institute of Structural Mechanics, University of Stuttgart, 2007
Bonisch S, Dunne T, Rannacher R. Numerics of fluid-structure interaction. Hemodynamical flows, modeling. Analysis and Simulation, 2008, 37: 333–378
Hengstler J A N. Influence of the Fluid-Structure Interaction on the Vibrations of Structures. Dissertation for the Doctoral Degree, Zurich: Faculty of Engineering, ETH Zurich, 2013
Vorgelegt V. Fluid-Structure Interaction Induced Oscillation of Flexible Structures in Uniform Flows. Dissertation for the Doctoral Degree, Erlangen: Faculty of Engineering, Universitat Erlangen-Nurnberg, 2012
Sarkic A. Validated numerical simulation of fluid-structure interactions of bridge girders in turbulent wind fields. PhD [dissertation], Bochum: Faculty of Civil and Environmental Engineering, Ruhr-Universität Bochum, 2014
Ubertini F. Wind Effects on Bridges: Response, Stability and Control. Dissertation for the Doctoral Degree, Pavia: School of Civil Engineering, University of Pavia, 2008
Selvam R P, Tarini M J, Larsen A. Computer modeling of flow around bridges using LES and FEM. Journal of wind engineering, 1998, 77&78: 643–651
Munson B R, Young D F, Okiishi T H. Fundamentals of Fluid Mechanics. 4th ed. New York: JohnWiley & Sons, Inc. 2002, 578–584
Bourdier S. Vortex-Induced Vibrations of a non-linearly supported rigid cylinder. Dissertation for the Doctoral Degree, Southampton: School of Civil Engineering and the Environment, University of Southampton, 2008
Peng J, Chen G S. Flow oscillating structure interactions and the applications to propulsion and energy harvest. Journal of Applied Physics Research, 2012, 4(2): 1–14
Liaw K F. Simulation of Flow around Bluff Bodies and Bridge Deck Sections using CFD. Dissertation for the Doctoral Degree, Nottingham: School of Civil Engineering, University of Nottingham, 2005
Farshidianfar A, Zanganeh H. The lock-in phenomenon in VIV using a modified wake oscillator model for both high and low mass-damping ratio. Iranian Journal of Mechanical Engineering, 2009, 10(2): 5–28
Puckett J, Johnson R, Barker M. 2011. Study of the Effects ofWind Power and Vortex-Induced Vibrations to Establish Fatigue Design Criteria for High-Mast Poles. Department of Transportation, University Transportation Centers Program, University of Wyoming, Wyoming, USA, August, 2011
Salvatori L. Assessment and Mitigation of Wind Risk of Suspended-Span Bridges. Dissertation for the Doctoral Degree, Braunschweig and Florence: Faculty of Architecture, Civil Engineering and Environmental Sciences, University of Braunschweig and Faculty of Engineering, University of Florence, 2007
Kuroda S. Numerical simulation of flow around a box girder of a long span suspension bridge. Journal of wind engineering, 1997, 67&68: 239–252
Larsen A, Walther J H. Aeroelastic analysis of bridge girder sections based on discrete vortex simulations. Journal of wind engineering, 1997, 67&68: 253–265
Tran D A. Numerical Investigation into the Suppression Mechanism of Vortex-Induced Vibration for Box Girder in the Presence of Flap. Dissertation for the Doctoral Degree, Yokohama: Urban Innovation Faculty, Yokohama National University, 2014
Facchinetti M L, de Langre E, Biolley F. Vortex-induced travelling waves along a cable. European Journal of Mechanics-B/Fluids, 2004, 23(1): 199–208
Van Dien J P. Fatihue Resistant Design of Cantilevered Sign, Signal, and Luminaire Support Structures. Master Thesis, Pennsylvania: Lehigh University, 1995
Bourguet R, Karniadakis G E, Triantafyllou M S. Lock-in of the vortex-induced vibrations of a long tensioned beam in shear flow. Journal of Fluids and Structures, 2011, 27(5-6): 838–847
Asyikin M T. CFD Simulation of Vortex Induced Vibration of a Cylindrical Structure. Master Thesis, Trondheim: Department of Civil and Transport Engineering. Norwegian University of Science and Technology, 2012
Zhang X. Aeroelastic Analysis of Super Long Cable-Supported Bridges. Dissertation for the Doctoral Degree, Nanyang: School of Civil and Environmental Engineering, Nanyang Technological University, 2003
Adelino V L, Cunha A, Simoes L M C. CFD based Evaluation of the Lock-in Phenomenon of a Bridge under Wind. III European Conference on Computational Mechanics, Solids, Structures and Coupled Problems in Engineering, Lisbon, Portugal, June 5–8, 2006
Andersson C, Ahl D. Fluid Structure Interaction Evaluation of two coupling techniques. Master Thesis, Halmstad: School of Information Science, Computer and Electrical Engineering, Halmstad University, 2011
Gale J. Fluid-Structure Interaction for simulations of fast transients. Dissertation for the Doctoral Degree, Ljubljana: Faculty of Mathematics and Physics, University of Ljubljana, 2008
Hassler M. Quasi-Static Fluid-Structure Interactions Based on a Geometric Description of Fluids. Dissertation for the Doctoral Degree, Karlsruhe: Faculty of Civil Engineering, Geo-and Environmental Sciences, Karlsruhe Institute of Technology, 2009
Hansen M S. Boundary Conditions for 3D Fluid-Structure Interaction Simulations of Compliant Vessels. Master Thesis, Trondheim: Department of Structural Engineering, Norwegian University of Science and Technology, 2013
Ren H, Zhuang X, Cai Y, Rabczuk T. Dual-Horizon Peridynamics. International Journal for Numerical Methods in Engineering, 2016, 453–474
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Nariman, N.A. Influence of fluid-structure interaction on vortex induced vibration and lock-in phenomena in long span bridges. Front. Struct. Civ. Eng. 10, 363–384 (2016). https://doi.org/10.1007/s11709-016-0353-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11709-016-0353-y