Aerodynamic stability parameters optimization and global sensitivity analysis for a cable stayed Bridge

Cable stayed Bridges are highly vulnerable to strong wind load induced vibrations which are responsible of generating aerodynamic instability and in a critical situation lead to structural failure. This paper focuses on buffeting response and flutter instability in a cable stayed Bridge. A strong fluctuating wind is assigned to a cable stayed Bridge model in ABAQUS FE program to onset optimization and global sensitivity analysis through considering three aerodynamic parameters (wind attack angle, deck streamlined length and stay cables viscous damping) by targeting the vertical and torsional vibrations of the deck. The numerical simulations results in conjunction with the frequency analysis results emphasized the existence of such vibrations. Model validation performed by comparing the results of lift and moment coefficients between the present FE model and two benchmarks from the literature (flat plate theory and flat plate by Xavier et al., 2015), which resulted in good agreements between them. Optimum values of the adopted aerodynamic parameters have been identified and discussed. Global sensitivity analysis based on Monte Carlo sampling method was utilized to formulate the surrogate models and the sensitivity indices so that to identify rational effect and role of each parameter on the aerodynamic stability of the structure.

[1]  Ted Belytschko,et al.  Application of Particle Methods to Static Fracture of Reinforced Concrete Structures , 2006 .

[2]  Robert H. Scanlan,et al.  Motion of Suspended Bridge Spans under Gusty Wind , 1977 .

[3]  Hitoshi Yamada,et al.  Coupled flutter estimate of a suspension bridge , 1990 .

[4]  Timon Rabczuk,et al.  Initially rigid cohesive laws and fracture based on edge rotations , 2013 .

[5]  Ming Gu,et al.  Modal coupling assessment and approximated prediction of coupled multimode wind vibration of long-span bridges , 2004 .

[6]  S. S. Nanthakumar,et al.  Surface effects on shape and topology optimization of nanostructures , 2015 .

[7]  Timon Rabczuk,et al.  Directionality of sound radiation from rectangular panels , 2015 .

[8]  Ahsan Kareem,et al.  Conditional Simulation of Nonstationary Fluctuating Wind Speeds for Long-Span Bridges , 2014 .

[9]  Krzysztof Wilde,et al.  Aerodynamic control of bridge deck flutter by active surfaces , 1998 .

[10]  Emil Simiu,et al.  Wind Effects on Structures , 2019 .

[11]  Timon Rabczuk,et al.  Finite strain fracture of 2D problems with injected anisotropic softening elements , 2014 .

[12]  T. Rabczuk,et al.  On three-dimensional modelling of crack growth using partition of unity methods , 2010 .

[13]  Timon Rabczuk,et al.  An adaptive multiscale method for quasi-static crack growth , 2014 .

[14]  T. Rabczuk,et al.  Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment , 2008 .

[15]  M. Keerthana,et al.  NUMERICAL STUDIES ON EVALUATION OF AERODYNAMIC FORCE COEFFICIENTS OF CABLE-STAYED BRIDGE DECK , 2011 .

[16]  Young-Min Kim,et al.  Flutter analysis of bridges through use of state space method , 2011 .

[17]  You-Liang Ding,et al.  Investigation of Influence Factors of Wind-Induced Buffeting Response of a Six-Tower Cable-Stayed Bridge , 2016 .

[18]  Pattabhi R. Budarapu,et al.  Studies on ballistic impact of the composite panels , 2014 .

[19]  Uwe Starossek Bridge Instability in Wind and Spatial Flutter Analysis , 1998 .

[20]  Timon Rabczuk,et al.  Damage and fracture algorithm using the screened Poisson equation and local remeshing , 2016 .

[21]  R. C. Batista,et al.  Aerodynamic Stability Analysis of Cable-Stayed Bridges , 1995 .

[22]  Jun Xia,et al.  An efficient integrated approach for global sensitivity analysis of hydrological model parameters , 2013, Environ. Model. Softw..

[23]  Arindam Gan Chowdhury,et al.  Identification of frequency domain and time domain aeroelastic parameters for flutter analysis of flexible structures , 2004 .

[24]  Timon Rabczuk,et al.  Finite strain fracture of plates and shells with configurational forces and edge rotations , 2013 .

[25]  Haili Liao,et al.  Wind Tunnel Test on the Wind-Resistant Behavior of a Long-Span Cable-Stayed Bridge during Erection , 2010 .

[26]  Paola Annoni,et al.  Sixth International Conference on Sensitivity Analysis of Model Output How to avoid a perfunctory sensitivity analysis , 2010 .

[27]  Timon Rabczuk,et al.  Crack propagation in graphene , 2015 .

[28]  Timon Rabczuk,et al.  Modelling dynamic failure of concrete with meshfree methods , 2006 .

[29]  Hung Nguyen-Xuan,et al.  Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS‐based isogeometric approach , 2012 .

[30]  Shuxian Hong,et al.  TIME DOMAIN BUFFETING ANALYSIS OF A LARGE-SPAN CABLE-STAYED BRIDGE , 2010 .

[31]  Charles Tong,et al.  Self-validated variance-based methods for sensitivity analysis of model outputs , 2009, Reliab. Eng. Syst. Saf..

[32]  T. Rabczuk,et al.  Discontinuous modelling of shear bands using adaptive meshfree methods , 2008 .

[33]  Timon Rabczuk,et al.  Extended meshfree methods without branch enrichment for cohesive cracks , 2007 .

[34]  T. Rabczuk,et al.  NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter , 2012, 1210.4676.

[35]  T.J.A. Agar,et al.  Aerodynamic flutter analysis of suspension bridges by a modal technique , 1989 .

[36]  Timon Rabczuk,et al.  A numerical model for reinforced concrete structures , 2005 .

[37]  T. Rabczuk,et al.  A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics , 2007 .

[38]  Hung Nguyen-Xuan,et al.  AN EDGE-BASED SMOOTHED FINITE ELEMENT METHOD FOR ANALYSIS OF LAMINATED COMPOSITE PLATES , 2013 .

[39]  J. N. Yang,et al.  Multimode Bridge Response to Wind Excitations , 1983 .

[40]  Pattabhi R. Budarapu,et al.  Buckling analysis of thin wall stiffened composite panels , 2015 .

[41]  Trine Hollerud Odden,et al.  Wind-induced Dynamic Response and Aeroelastic Stability of a Suspension Bridge crossing Sognefjorden , 2012 .

[42]  Tom Adawi,et al.  Teaching Mathematical Modelling and Problem Solving - A Cognitive Apprenticeship Approach to Mathematics and Engineering Education , 2014, Int. J. Eng. Pedagog..

[43]  P.K.K. Lee,et al.  TIME DOMAIN BUFFETING ANALYSIS OF SUSPENSION BRIDGES SUBJECTED TO TURBULENT WIND WITH EFFECTIVE ATTACK ANGLE , 2000 .

[44]  Kristian Rommetveit Dahl Aeroelastic behavior of very long span suspension bridges , 2013 .

[45]  Timon Rabczuk,et al.  Numerical analysis of prestressed concrete beams using a coupled element free Galerkin/finite element approach , 2004 .

[46]  Kristin Isaacs,et al.  Estimating Sobol sensitivity indices using correlations , 2012, Environ. Model. Softw..

[47]  Niels N. Sørensen,et al.  Aeroelastic Stability of Suspension Bridges using CFD , 2007 .

[48]  Timon Rabczuk,et al.  An isogeometric collocation method using superconvergent points , 2015 .

[49]  H. Nguyen-Xuan,et al.  An extended isogeometric thin shell analysis based on Kirchhoff-Love theory , 2015 .

[50]  H. Nguyen-Xuan,et al.  A smoothed finite element method for plate analysis , 2008 .

[51]  A. Kareem,et al.  AERODYNAMIC COUPLING EFFECTS ON FLUTTER AND BUFFETING OF BRIDGES , 2000 .

[52]  H. Nguyen-Xuan,et al.  A simple and robust three-dimensional cracking-particle method without enrichment , 2010 .

[53]  Xinzhong Chen,et al.  Analysis of Long Span Bridge Response to Winds: Building Nexus between Flutter and Buffeting , 2006 .

[54]  T. Belytschko,et al.  Adaptivity for structured meshfree particle methods in 2D and 3D , 2005 .

[55]  Xu Xie,et al.  Static and Dynamic Characteristics of a Long-Span Cable-Stayed Bridge with CFRP Cables , 2014, Materials.

[56]  R. Panneer Selvam,et al.  A REPORT ON AEROELASTIC ANALYSIS OF BRIDGE GIRDER SECTION USING COMPUTER MODELING. , 2001 .

[57]  Timon Rabczuk,et al.  Efficient coarse graining in multiscale modeling of fracture , 2014 .

[58]  You-Lin Xu,et al.  Wind Effects on Cable-Supported Bridges , 2013 .

[59]  Timon Rabczuk,et al.  Numerical analysis of high speed concrete fragmentation using a meshfree Lagrangian method , 2004 .

[60]  H. Nguyen-Xuan,et al.  A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures , 2008 .

[61]  T. Rabczuk,et al.  A meshfree thin shell method for non‐linear dynamic fracture , 2007 .

[62]  Yan Han,et al.  Investigation on influence factors of buffeting response of bridges and its aeroelastic model verification for Xiaoguan Bridge , 2009 .

[63]  Gang Hu,et al.  The Influence of Turbulence Integral Scale to Buffeting of Long-Span Bridge , 2011 .

[64]  David Wood,et al.  Forces and Moments on Flat Plates of Small Aspect Ratio with Application to PV Wind Loads and Small Wind Turbine Blades , 2015 .

[65]  Saltelli Andrea,et al.  Global Sensitivity Analysis: The Primer , 2008 .

[66]  Stéphane Bordas,et al.  A meshless adaptive multiscale method for fracture , 2015 .

[67]  Friedrich Bleich,et al.  Dynamic Instability of Truss-Stiffened Suspension Bridges under Wind Action , 1949 .

[68]  Nicholas P. Jones,et al.  COUPLED FLUTTER AND BUFFETING ANALYSIS OF LONG-SPAN BRIDGES , 1996 .

[69]  T. Rabczuk,et al.  Simulation of high velocity concrete fragmentation using SPH/MLSPH , 2003 .

[70]  Phill-Seung Lee,et al.  Phantom-node method for shell models with arbitrary cracks , 2012 .

[71]  Ted Belytschko,et al.  Simplified model for predicting impulsive loads on submerged structures to account for fluid-structure interaction , 2007 .

[72]  T. Belytschko,et al.  Stable particle methods based on Lagrangian kernels , 2004 .

[73]  Stéphane Bordas,et al.  Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory , 2014 .

[74]  D. Roy Mahapatra,et al.  Vibration analysis of multi-walled carbon nanotubes embedded in elastic medium , 2014 .

[75]  Pao-Hsii Wang,et al.  Finite Element Analysis of Cable-Stayed Bridges with Appropriate Initial Shapes Under Seismic Excitations Focusing on Deck-Stay Interaction , 2012 .

[76]  T. Rabczuk,et al.  XLME interpolants, a seamless bridge between XFEM and enriched meshless methods , 2014 .

[77]  Aiqun Li,et al.  Non-linear buffeting response analysis of long-span suspension bridges with central buckle , 2010 .

[78]  Stefano Tarantola,et al.  A General Probabilistic Framework for uncertainty and global sensitivity analysis of deterministic models: A hydrological case study , 2014, Environ. Model. Softw..

[79]  Timon Rabczuk,et al.  A software framework for probabilistic sensitivity analysis for computationally expensive models , 2016, Adv. Eng. Softw..

[80]  Hung Nguyen-Xuan,et al.  Isogeometric Analysis of Laminated Composite Plates Using the Higher-Order Shear Deformation Theory , 2015 .

[81]  Ted Belytschko,et al.  Cracking particles: a simplified meshfree method for arbitrary evolving cracks , 2004 .

[82]  R. Natarajan,et al.  Design concepts of an aircraft wing: composite and morphing airfoil with auxetic structures , 2016 .

[83]  X. Zhuang,et al.  A continuous/discontinuous deformation analysis (CDDA) method based on deformable blocks for fracture modeling , 2013 .

[84]  Yuri Bazilevs,et al.  A coupled IGA–Meshfree discretization of arbitrary order of accuracy and without global geometry parameterization , 2015 .

[85]  T. Rabczuk,et al.  Phase-field modeling of fracture in linear thin shells , 2014 .

[86]  Timon Rabczuk,et al.  A coupled thermo-hydro-mechanical model of jointed hard rock for compressed air energy storage , 2014 .

[87]  Charles E. Augarde,et al.  Fracture modeling using meshless methods and level sets in 3D: Framework and modeling , 2012 .

[88]  Nicholas P. Jones,et al.  Multimode coupled flutter and buffeting analysis of the Akashi-Kaikyo bridge , 1999 .

[89]  Ted Belytschko,et al.  Immersed particle method for fluid–structure interaction , 2009 .

[90]  Timon Rabczuk,et al.  Element-wise fracture algorithm based on rotation of edges , 2013 .

[91]  A. Saltelli,et al.  Importance measures in global sensitivity analysis of nonlinear models , 1996 .

[92]  Stefano Tarantola,et al.  Global Sensitivity Analysis: An Introduction , 2005 .

[93]  T. Belytschko,et al.  A simplified mesh‐free method for shear bands with cohesive surfaces , 2007 .

[94]  Ahsan Kareem,et al.  Multimode coupled flutter and buffeting analysis of long span bridges , 2001 .

[95]  T. Belytschko,et al.  A three dimensional large deformation meshfree method for arbitrary evolving cracks , 2007 .

[96]  T. Rabczuk,et al.  T-spline based XIGA for fracture analysis of orthotropic media , 2015 .

[97]  Marco Acutis,et al.  A proposal of an indicator for quantifying model robustness based on the relationship between variability of errors and of explored conditions , 2010 .

[98]  Tori Høyland Kvamstad Assessment of the flutter stability limit of the Hålogaland Bridge using aprobabilistic approach , 2011 .

[99]  Harvey M. Wagner,et al.  Global Sensitivity Analysis , 1995, Oper. Res..

[100]  A. G. Davenport Buffeting of a Suspension Bridge by Storm Winds , 1962 .

[101]  Suren Chen,et al.  Dynamic performance of bridges and vehicles under strong wind , 2004 .

[102]  Francesco Ricciardelli,et al.  Pressure distribution, aerodynamic forces and dynamic response of box bridge sections , 2002 .

[103]  T. Rabczuk,et al.  A Meshfree Method based on the Local Partition of Unity for Cohesive Cracks , 2007 .

[104]  A. Saltelli,et al.  On the Relative Importance of Input Factors in Mathematical Models , 2002 .

[105]  Ming-Hui Huang,et al.  Flutter and Buffeting Analysis of Bridges Subjected to Skew Wind , 2012 .

[106]  Holger Keitel,et al.  Evaluation of coupled partial models in structural engineering using graph theory and sensitivity analysis , 2011 .

[107]  Yuri Bazilevs,et al.  Rotation free isogeometric thin shell analysis using PHT-splines , 2011 .