Aeroelastic behavior of long-span suspension bridges under arbitrary wind profiles

Abstract The aeroelastic behavior of suspension bridges under generic temporal and space wind distributions is studied employing a parametric one-dimensional structural model coupled with a strip-based indicial representation of the unsteady aerodynamic loads. The aeroelastic response to spatially nonuniform gusts is also investigated. The equations of motion linearized about the prestressed aerostatic equilibrium are expressed in terms of incremental kinematic variables. The aerodynamic loading characteristics of the deck cross sections of the Runyang Suspension Bridge (over the Yangtze river in China) are evaluated by means of computational fluid dynamics simulations performed to extract the aeroelastic derivatives from which the indicial aerodynamic representation is obtained. The aeroelastic equations of motion are then reduced to the state-space ordinary differential form by using the Faedo–Galerkin approach. The reduced-order bridge dynamics and the description of the aerodynamic loading via the added aerodynamic states are solved simultaneously by using a time-integration numerical scheme. Dependence of the flutter condition and the transient response to gusts is shown through systematic parametric studies.

[1]  Claudio Borri,et al.  Frequency- and time-domain methods for the numerical modeling of full-bridge aeroelasticity , 2007 .

[2]  Ru-Cheng Xiao,et al.  A simplified method for lateral response analysis of suspension bridges under wind loads , 2006 .

[3]  A. M. Abdel-Ghaffar,et al.  Nonlinear Free Vibrations of Suspension Bridges: Theory , 1983 .

[4]  Virote Boonyapinyo,et al.  Nonlinear aerostatic stability analysis of suspension bridges , 2006 .

[5]  A. M. Abdel-Ghaffar,et al.  Free Lateral Vibrations of Suspension Bridges , 1978 .

[6]  Pier Marzocca,et al.  Indicial functions in the aeroelasticity of bridge decks , 2014 .

[7]  A. M. Abdel-Ghaffar,et al.  Vertical Vibration Analysis of Suspension Bridges , 1980 .

[8]  A. M. Abdel-Ghaffar,et al.  Free Torsional Vibrations of Suspension Bridges , 1979 .

[9]  Paolo Spinelli,et al.  Effects of structural nonlinearity and along-span wind coherence on suspension bridge aerodynamics: Some numerical simulation results , 2006 .

[10]  Ahsan Kareem,et al.  Advances in modeling of Aerodynamic forces on bridge decks , 2002 .

[11]  Haifan Xiang,et al.  Nonlinear aerostatic and aerodynamic analysis of long-span suspension bridges considering wind-structure interactions , 2002 .

[12]  Luca Caracoglia,et al.  Aeroelastic instability of long-span bridges: contributions to the analysis in frequency and time domains , 2000 .

[13]  Xinjun Zhang.  Influence of some factors on the aerodynamic behavior of long-span suspension bridges , 2007 .

[14]  In Lee,et al.  Nonlinearc Aeroelastic Analysis of an Airfoil Using CFD-Based Indicial Approach , 2005 .

[15]  Walter Lacarbonara,et al.  Nonlinear parametric modeling of suspension bridges under aeroelastic forces: torsional divergence and flutter , 2012 .

[16]  A. M. Abdel-Ghaffar,et al.  Suspension Bridge Vibration: Continuum Formulation , 1982 .

[17]  T.J.A. Agar,et al.  The analysis of aerodynamic flutter of suspension bridges , 1988 .

[18]  Walter Lacarbonara,et al.  Flutter of an Arch Bridge via a Fully Nonlinear Continuum Formulation , 2011 .

[19]  Walter Lacarbonara,et al.  Nonlinear Structural Mechanics: Theory, Dynamical Phenomena and Modeling , 2013 .

[20]  Frederic M. Hoblit,et al.  Gust Loads on Aircraft: Concepts and Applications , 1988 .

[21]  Allan Larsen,et al.  Aeroelastic analysis of bridge girder sections based on discrete vortex simulations , 1997 .

[22]  In Lee,et al.  Linear/nonlinear unsteady aerodynamic modeling of 2-D lifting surfaces via a combined CFD/analytical approach , 2003 .

[23]  A. M. Abdel-Ghaffar,et al.  Nonlinear Free Vibrations of Suspension Bridges: Application , 1983 .

[24]  Emil Simiu,et al.  Wind effects on structures : fundamentals and applications to design , 1996 .

[25]  Masanobu Shinozuka,et al.  Conditional simulation of non-Gaussian wind velocity profiles: Application to buffeting response of Vincent Thomas suspension bridge , 2012 .

[26]  Armando Miguel Awruch,et al.  Numerical simulation of the wind action on a long-span bridge deck , 2003 .

[27]  Mark H Lowenberg,et al.  Bifurcation Analysis of the NASA GTM with a View to Upset Recovery , 2012 .

[28]  J. Frandsen.  Numerical bridge deck studies using finite elements. Part I: flutter , 2004 .

[29]  Robert H. Scanlan,et al.  Reexamination of sectional aerodynamic force functions for bridges , 2001 .

[30]  Luca Bruno,et al.  The validity of 2D numerical simulations of vortical structures around a bridge deck , 2003 .