A Simple Analytical Approach to the Aeroelastic Stability Problem of Long-Span Cable-Stayed Bridges

This paper deals with the aeroelastic stability problem of long-span cable-stayed bridges under an approaching crosswind flow. Starting from a continuous model of the fan-shaped bridge scheme with both H- or A-shaped towers, critical states of the coupled wind-structure system are identified by means of a variational formulation, accounting for torsional and flexural (vertical and lateral) bridge oscillations. The overall bridge dynamics is described by introducing simple mechanical systems with equivalent stiffness properties and, under the assumption of a prevailing truss-like bridge behavior, analytical estimates for dominant stiffness contributions are proposed. Several case studies are discussed and comparisons with experimental evidences as well as with available analytical and numerical results are presented. The proposed simplified approach proves to be consistent and effective for successfully capturing the main wind-bridge interaction mechanisms, and it could be considered as a useful engineering tool for the aeroelastic stability analysis of long-span cable-stayed bridges.

[1]  Shambhu Sharan Mishra,et al.  Multimode flutter of long-span cable-stayed bridge based on 18 experimental aeroelastic derivatives , 2008 .

[2]  Domenico Bruno,et al.  Aerodynamic Behavior of Long-Span Cable-Stayed Bridges , 2008 .

[3]  Prem Krishna,et al.  Relevance of Eighteen Flutter Derivatives in Wind Response of a Long-Span Cable-Stayed Bridge , 2008 .

[4]  Domenico Bruno,et al.  Natural Periods of Long-Span Cable-Stayed Bridges , 1997 .

[5]  R. L. Halfman Experimental aerodynamic derivatives of a sinusoidally oscillating airfoil in two-dimensional flow , 1952 .

[6]  M. Matsumoto,et al.  Torsional flutter of bluff bodies , 1997 .

[7]  Nicholas P. Jones,et al.  Aeroelastic Analysis of Cable‐Stayed Bridges , 1990 .

[8]  Michel Virlogeux WIND DESIGN AND ANALYSIS FOR THE NORMANDY BRIDGE , 1992 .

[9]  Einar N. Strømmen Theory of Bridge Aerodynamics , 2010 .

[10]  Robert H. Scanlan,et al.  The action of flexible bridges under wind, II: Buffeting theory , 1978 .

[11]  E. Conti,et al.  Wind effects on the Normandie cable-stayed bridge: Comparison between full aeroelastic model tests and quasi-steady analytical approach , 1994 .

[12]  Gianni Bartoli,et al.  A simplified approach to bridge deck flutter , 2008 .

[13]  Domenico Bruno,et al.  Deformability and Aerodynamic Stability as Limits in Long Span Bridges , 2001 .

[14]  Ahsan Kareem,et al.  Revisiting Multimode Coupled Bridge Flutter: Some New Insights , 2006 .

[15]  T. Kármán,et al.  Airfoil Theory for Non-Uniform Motion , 1938 .

[16]  T. Theodorsen General Theory of Aerodynamic Instability and the Mechanism of Flutter , 1934 .

[17]  Xin-Jun Zhang,et al.  Wind-resistant performance of cable-supported bridges using carbon fiber reinforced polymer cables , 2007 .

[18]  Roger A. Dorton Cable supported bridges, Concept and design , 1986 .

[19]  Xinzhong Chen,et al.  Improved Understanding of Bimodal Coupled Bridge Flutter Based on Closed-Form Solutions , 2007 .

[20]  Giuseppe Vairo,et al.  Modelling and Simulation of Long-Span Bridges under Aerodynamic Loads , 2004 .

[21]  Herbert Wagner Über die Entstehung des dynamischen Auftriebes von Tragflügeln , 1925 .

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

[23]  Robert H. Scanlan,et al.  The action of flexible bridges under wind, I: Flutter theory† , 1978 .

[24]  Domenico Bruno,et al.  Aerodynamic instability of long-span cable-stayed bridges , 1998 .

[25]  Giuseppe Vairo,et al.  A Closed-Form Refined Model of the Cables' Nonlinear Response in Cable-Stayed Structures , 2009 .

[26]  Raid Karoumi,et al.  Some modeling aspects in the nonlinear finite element analysis of cable supported bridges , 1999 .

[27]  Nicholas P. Jones,et al.  Coupled aeroelastic and aerodynamic response analysis of long-span bridges , 1996 .

[28]  Domenico Bruno,et al.  VIBRATION ANALYSIS OF CABLE-STAYED BRIDGES , 1994 .

[29]  H. F. Xiang,et al.  Study on buffeting response spectrum method for long span bridges , 1995 .

[30]  Y. Nakamura An analysis of binary flutter of bridge deck sections , 1978 .

[31]  Hiromichi Shirato,et al.  The influence of aerodynamic derivatives on flutter , 1996 .

[32]  Wei Peng,et al.  Study on flutter characteristics of cable-supported bridges , 2003 .

[33]  F. Maceri,et al.  Statical behaviour of long-span cable-stayed bridges , 1985 .

[34]  Hiroshi Tanaka,et al.  Aerodynamic flutter analysis of cable-supported bridges by multi-mode and full-mode approaches , 2000 .

[35]  Svend Ole Hansen,et al.  Wind Loads on Structures , 1997 .

[36]  Nicholas P. Jones,et al.  Time domain vs. frequency domain characterization of aeroelastic forces for bridge deck sections , 2003 .

[37]  Nicholas P. Jones,et al.  Multi-mode flutter and buffeting analysis of the Akashi-Kaikyo bridge , 1998 .

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

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

[40]  Armando Miguel Awruch,et al.  Finite element simulation of the wind action over bridge sectional models: Application to the Guamá River Bridge (Pará State, Brazil) , 2008 .

[41]  Nicholas P. Jones,et al.  Inter-relations among flutter derivatives , 1997 .

[42]  Y. K. Cheung,et al.  On the determination of natural frequencies and mode shapes of cable-stayed bridges , 2001 .

[43]  Domenico Bruno,et al.  Dynamic impact analysis of long span cable-stayed bridges under moving loads , 2008 .

[44]  Kwan-Soon Park,et al.  Suppression of bridge flutter using tuned mass dampers based on robust performance design , 2004 .

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

[46]  Robert H. Scanlan Aerodynamics of cable-supported bridges , 1996 .

[47]  Robert H. Scanlan,et al.  Some observations on the state of bluff-body aeroelasticity , 1997 .