A REPORT ON AEROELASTIC ANALYSIS OF BRIDGE GIRDER SECTION USING COMPUTER MODELING.

This report describes the numerical simulation of wind flow around bridges using the Finite Element Method (FEM) and the principles of Computational Fluid Dynamics (CFD) and Computational Structural Dynamics (CSD). Since the suspension bridges are prone to the aerodynamic instabilities caused by wind, this becomes a prime criterion to be checked during the design. If the wind velocity exceeds the critical velocity for flutter that the bridge can withstand, then the bridge fails due to the phenomenon of flutter. Tacoma's narrows bridge failure in Washington, USA is a classical example of this failure. Larsen and Walther (1997) used the Discrete Vortex Method (DVM) similar to the wind tunnel procedures. In this work, the computations are carried out for both the fixed and the moving bridge conditions. A Large Eddy Simulation (LES) turbulence model is used and the rigid body grid movement technique is adopted. The critical velocity for flutter is calculated directly using the free oscillation procedure similar to the approaches reported by Selvam et. al (1998 and 2000). The influence of grid on critical velocity is also studied. The computed critical velocity for flutter is in good agreement with the wind tunnel measurements. The conditions of flutter and no flutter are demonstrated clearly using the response of the bridge in time.

[1]  R. Selvam Computation of pressures on Texas Tech University building using large eddy simulation , 1997 .

[2]  Joel H. Ferziger,et al.  Computational methods for fluid dynamics , 1996 .

[3]  R. Panneer Selvam,et al.  Computer simulation of wind load on a house , 1990 .

[4]  E. Dowell,et al.  Aeroelasticity of Plates and Shells , 1974 .

[5]  Allan Larsen,et al.  Computer modelling of flow around bridges using LES and FEM , 1998 .

[6]  Miguel R. Visbal,et al.  Computation of Nonlinear Viscous Panel Flutter Using a Fully-Implicit Aeroelastic Solver , 1998 .

[7]  D. J. Johns Book Reviews : A Modern Course in Aeroelasticity: E.H. Dowell, editor and author H.C. Curtiss, Jr., R.H. Scanlan, F. Sisto, co-authors Sijthoff and Noordhoff; The Netherlands, 1978 , 1980 .

[8]  J. Hyvärinen,et al.  An Arbitrary Lagrangian-Eulerian finite element method , 1998 .

[9]  J. Sørensen,et al.  Discrete Vortex Method for Two-dimensional Flow past Bodies of Arbitrary Shape Undergoing Prescribed Rotary and Translational Motion , 1994 .

[10]  Robert H. Scanlan,et al.  A Modern Course in Aeroelasticity , 1981, Solid Mechanics and Its Applications.

[11]  R. Panneer Selvam,et al.  Aeroelastic analysis of bridges using FEM and moving grids , 2002 .

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

[13]  Fa McRobie,et al.  Computational aeroelastic modelling to guide long-span bridge cross-section design , 1999 .

[14]  Luca Bruno,et al.  Numerical simulation of the effect of section details on the vortex shedding flow past a long span bridge deck , 2000 .

[15]  J. Anderson,et al.  Computational fluid dynamics : the basics with applications , 1995 .

[16]  Allan McRobie,et al.  Comparison of numerical and physical models for bridge deck aeroelasticity , 1998 .

[17]  Atsushi Hirai,et al.  Aerodynamic Stability of Suspension Bridges , 1949 .

[18]  K. Morgan,et al.  Petrov-Galerkin solutions of the incompressible Navier-Stokes equations in primitive variables with adaptive remeshing , 1993 .

[19]  J. Peiro,et al.  Unstructured mesh methods for CFD , 1990 .

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

[21]  C. Scruton,et al.  Wind Effects on Structures , 1970 .

[22]  Henry Liu,et al.  Wind engineering : a handbook for structural engineers , 1991 .

[23]  Peter Sachs,et al.  Wind Forces in Engineering , 1972 .

[24]  A. Mochida,et al.  On turbulent vortex shedding flow past 2D square cylinder predicted by CFD , 1995 .

[25]  W. C. Arrol,et al.  Implications of the Rules on bridge design—past and future , 1981 .

[26]  J. Z. Zhu,et al.  The finite element method , 1977 .

[27]  P. Thomas,et al.  Geometric Conservation Law and Its Application to Flow Computations on Moving Grids , 1979 .

[28]  A. Wada,et al.  Numerical study of pressure fluctuations on a rectangular cylinder in aerodynamic oscillation , 1995 .

[29]  Thomas J. R. Hughes,et al.  Finite element methods in wind engineering , 1993 .