Effects of free-stream turbulence and corner shape on the galloping instability of square cylinders

Abstract The influence of corner shaping and turbulence intensity on the aerodynamic stability of square cylinders is studied with a quasi-static approach. Beside the sharp-edge corner condition, two different rounded-corner radii ( r / b =1/15 and 2/15) are considered. The stability analyses are based on aerodynamic coefficients derived through static wind tunnel tests in smooth and turbulent flow, in the Reynolds number range between 1.7×10 4 and 2.3×10 5 . The experimental data are employed to determine the stability boundaries depending on the angle of attack and – when relevant – on the Reynolds number.

[1]  G. V. Parkinson,et al.  THE SQUARE PRISM AS AN AEROELASTIC NON-LINEAR OSCILLATOR , 1964 .

[2]  Andrea Freda,et al.  Experimental investigation on the aerodynamic behavior of square cylinders with rounded corners , 2014 .

[3]  Gl Larose,et al.  Experiments on 2D rectangular prisms at high Reynolds numbers in a pressurised wind tunnel , 2008 .

[4]  G. V. Parkinson,et al.  Experiments on flow-induced vibration of a square-section cylinder , 1987 .

[5]  John H G Macdonald,et al.  Two-degree-of-freedom inclined cable galloping—Part 1: General formulation and solution for perfectly tuned system , 2008 .

[6]  Hiroshi Tanaka,et al.  Effect of Turbulence on Galloping Instability , 1974 .

[7]  Giuseppe Piccardo,et al.  Linear instability mechanisms for coupled translational galloping , 2005 .

[8]  Alan G. Davenport,et al.  Aeroelastic Instability of Prisms in Turbulent Flow , 1970 .

[9]  Tetsuro Tamura,et al.  The effect of turbulence on aerodynamic forces on a square cylinder with various corner shapes , 1999 .

[10]  Yasuharu Nakamura,et al.  TORSIONAL FLUTTER OF RECTANGULAR PRISMS , 1975 .

[11]  Hiromichi Shirato,et al.  ON AERODYNAMIC STABILITY EFFECTS FOR BLUFF RECTANGULAR CYLINDERS BY THEIR CORNER-CUT , 1988 .

[12]  John H G Macdonald,et al.  A unified approach to aerodynamic damping and drag/lift instabilities, and its application to dry inclined cable galloping , 2006 .

[13]  Yukio Ishida,et al.  Flow‐Induced Vibrations , 2012 .

[14]  H. Kawai,et al.  Effect of corner modifications on aeroelastic instabilities of tall buildings , 1998 .

[15]  B. Lee.  The effect of turbulence on the surface pressure field of a square prism , 1975, Journal of Fluid Mechanics.

[16]  Andrea Freda,et al.  Aeroelastic forces on yawed circular cylinders: quasi-steady modeling and aerodynamic instability , 2005 .

[17]  Andrea Freda,et al.  Critical conditions of galloping for inclined square cylinders , 2011 .

[18]  Kenny C. S Kwok,et al.  Effect of edge configuration on wind-induced response of tall buildings , 1988 .

[19]  W. H. Melbourne,et al.  Freestream Turbulence Effects on Galloping , 1980 .

[20]  E. D. Langre,et al.  Fluid-Structure Interactions: Cross-Flow-Induced Instabilities , 2010 .