Reliability based design optimization for bridge girder shape and plate thicknesses of long-span suspension bridges considering aeroelastic constraint

Abstract Reliability based design optimization (RBDO) for deck shape and thicknesses of the steel plates that form a box girder of long-span suspension bridges is performed considering probabilistic flutter constraint. The entire process was carried out fully computationally including the definition of flutter derivatives. Surrogate models were constructed to estimate the aerodynamic response of the bridge for different deck shapes based on the results from a series of CFD simulations. Some of the aerodynamic coefficients were validated by wind tunnel tests. Flutter derivatives were then estimated using quasi-steady approach for the evaluation of critical flutter velocity. Uncertainty in the aerodynamic coefficients from CFD simulations as well as the extreme wind speed at the bridge site were considered. The formulated methodology was applied to the Great Belt East Bridge.

[1]  Robert H. Scanlan,et al.  AIR FOIL AND BRIDGE DECK FLUTTER DERIVATIVES , 1971 .

[2]  Andy J. Keane,et al.  Recent advances in surrogate-based optimization , 2009 .

[3]  Santiago Hernández,et al.  Efficient methodologies for reliability-based design optimization of composite panels , 2016, Adv. Eng. Softw..

[4]  Giorgio Diana Prof.,et al.  IABSE Task Group 3.1 Benchmark Results. Part 1: Numerical Analysis of a Two-Degree-of-Freedom Bridge Deck Section Based on Analytical Aerodynamics , 2020, Structural Engineering International.

[5]  M. Cid Montoya,et al.  CFD-based aeroelastic characterization of streamlined bridge deck cross-sections subject to shape modifications using surrogate models , 2018, Journal of Wind Engineering and Industrial Aerodynamics.

[6]  Thomas J. Santner,et al.  The Design and Analysis of Computer Experiments , 2003, Springer Series in Statistics.

[7]  Allan Larsen,et al.  Aerodynamic aspects of the final design of the 1624 m suspension bridge across the Great Belt , 1993 .

[8]  G. I. Schuëller,et al.  The effect of uncertainties in wind load estimation on reliability assessments , 1983 .

[9]  Michel van Tooren,et al.  Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles , 2011 .

[10]  Aitor Baldomir,et al.  Reliability based design optimization of long-span bridges considering flutter , 2014 .

[11]  Luisa Pagnini,et al.  Reliability analysis of wind-excited structures , 2010 .

[12]  Massimiliano Lazzari,et al.  Time domain modelling of aeroelastic bridge decks: a comparative study and an application , 2005 .

[13]  Ton Vrouwenvelder,et al.  An integrated reliability-based design optimization of offshore towers , 2009, Reliab. Eng. Syst. Saf..

[14]  Farrokh Mistree,et al.  Kriging Models for Global Approximation in Simulation-Based Multidisciplinary Design Optimization , 2001 .

[15]  Hiroshi Tanaka,et al.  Application of a reliability analysis model to bridge flutter under extreme winds , 2000 .

[16]  Gianluca Iaccarino,et al.  Quantifying inflow and RANS turbulence model form uncertainties for wind engineering flows , 2015 .

[17]  Luca Caracoglia,et al.  Application of random eigenvalue analysis to assess bridge flutter probability , 2015 .

[18]  Kamal Rojiani,et al.  Reliability of Steel Buildings under Winds , 1981 .

[19]  Federica Tubino,et al.  Relationships among aerodynamic admittance functions, flutter derivatives and static coefficients for long-span bridges , 2005 .

[20]  Ahsan Kareem,et al.  EFFECT OF PARAMETRIC UNCERTAINTIES ON WIND EXCITED STRUCTURAL RESPONSE , 1988 .

[21]  Hiroshi Sato,et al.  Comparative and sensitivity study of flutter derivatives of selected bridge deck sections, Part 1: Analysis of inter-laboratory experimental data , 2009 .

[22]  T. K. Datta,et al.  Reliability Analysis of Suspension Bridges against Flutter , 2002 .

[23]  Qiusheng Li,et al.  Reliability analysis of long span steel arch bridges against wind-induced stability failure , 2009 .

[24]  Suren Chen,et al.  Flutter reliability analysis of suspension bridges , 2005 .

[25]  Giorgio Diana,et al.  Wind tunnel tests and numerical approach for long span bridges: the Messina bridge , 2013 .

[26]  Santiago Hernández,et al.  The importance of correlation among flutter derivatives for the reliability based optimum design of suspension bridges , 2018, Engineering Structures.

[27]  Alberto Zasso,et al.  Monte Carlo analysis of total damping and flutter speed of a long span bridge: Effects of structural and aerodynamic uncertainties , 2014 .

[28]  Yaojun Ge,et al.  Recent development of bridge aerodynamics in China , 2008 .

[29]  S. Hernández,et al.  Sensitivity analysis of bridge flutter with respect to mechanical parameters of the deck , 2004 .

[30]  E. Nikolaidis,et al.  Reliability based optimization: A safety index approach , 1988 .

[31]  Allan Larsen,et al.  Discrete vortex simulation of flow around five generic bridge deck sections , 1998 .

[32]  Ahsan Kareem,et al.  Bridge aerodynamics and aeroelasticity: A comparison of modeling schemes , 2013 .

[33]  Guy L. Larose,et al.  Performance of streamlined bridge decks in relation to the aerodynamics of a flat plate , 1997 .

[34]  Dong-Woo Seo,et al.  EFFECTS OF ERRORS IN FLUTTER DERIVATIVES ON THE WIND- INDUCED RESPONSE OF CABLE-SUPPORTED BRIDGES , 2013 .

[35]  Cheng Su,et al.  Aerostatic Reliability Analysis of Long-Span Bridges , 2010 .

[36]  D. Krige.  A statistical approach to some basic mine valuation problems on the Witwatersrand, by D.G. Krige, published in the Journal, December 1951 : introduction by the author , 1951 .

[37]  G. Solari,et al.  Probabilistic 3-D turbulence modeling for gust buffeting of structures , 2001 .

[38]  Armando Miguel Awruch,et al.  Reliability based optimization of laminated composite structures using genetic algorithms and Artificial Neural Networks , 2011 .

[39]  L. Caracoglia.  Effects of non-linear propagation of random turbulence fields on bridge flutter instability , 2009 .

[40]  M. Cid Montoya,et al.  Shape optimization of streamlined decks of cable-stayed bridges considering aeroelastic and structural constraints , 2018, Journal of Wind Engineering and Industrial Aerodynamics.

[41]  Luca Bruno,et al.  Probabilistic evaluation of the aerodynamic properties of a bridge deck , 2011 .

[42]  Andy J. Keane,et al.  Engineering Design via Surrogate Modelling - A Practical Guide , 2008 .

[43]  Aitor Baldomir,et al.  Probabilistic optimization of the main cable and bridge deck of long-span suspension bridges under flutter constraint , 2015 .

[44]  Jasbir S. Arora,et al.  Introduction to Optimum Design , 1988 .

[45]  H. Gomes,et al.  COMPARISON OF RESPONSE SURFACE AND NEURAL NETWORK WITH OTHER METHODS FOR STRUCTURAL RELIABILITY ANALYSIS , 2004 .

[46]  You-Lin Xu,et al.  Buffeting-induced stresses in a long suspension bridge:structural health monitoring oriented stress analysis , 2009 .

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

[48]  Dimitri N. Mavris,et al.  Robust Design Simulation: A Probabilistic Approach to Multidisciplinary Design , 1999 .

[49]  Kyung K. Choi,et al.  Reliability-based design optimization for crashworthiness of vehicle side impact , 2004 .

[50]  S. Hernández,et al.  A reliability study for the Messina Bridge with respect to flutter phenomena considering uncertainties in experimental and numerical data , 2013 .

[51]  H. O. Madsen,et al.  Probabilistic flutter criteria for long span bridges , 1992 .