Hostname: page-component-8448b6f56d-wq2xx Total loading time: 0 Render date: 2024-04-23T13:38:55.786Z Has data issue: false hasContentIssue false

The interaction between flow-induced vibration mechanisms of a square cylinder with varying angles of attack

Published online by Cambridge University Press:  31 August 2012

András Nemes*
Affiliation:
Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia
Jisheng Zhao
Affiliation:
Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia
David Lo Jacono
Affiliation:
Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia Université de Toulouse, INPT, UPS, IMFT (Institut de Mécanique des Fluides de Toulouse), Allée Camille Soula, F-31400 Toulouse, France CNRS, IMFT, F-31400 Toulouse, France
John Sheridan
Affiliation:
Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, Victoria 3800, Australia
*
Email address for correspondence: andras.nemes@monash.edu

Abstract

This study examines the influence of angle of attack of a square section cylinder on the cylinder’s flow-induced vibration, where the direction of the vibration is transverse to the oncoming flow. Our experiments, which traversed the velocity–angle of attack parameter space in considerable breadth and depth, show that a low-mass ratio body can undergo combinations of both vortex-induced vibration and galloping. When the body has an angle of attack that makes it symmetric to the flow, such as when it assumes the square or diamond orientation, the two mechanisms remain independent. However, when symmetry is lost we find a mixed mode response with a new branch of vortex-induced oscillations that exceeds the amplitudes resulting from the two phenomena independently. The oscillations of this higher branch have amplitudes larger than the ‘upper branch’ of vortex-induced vibrations and at half the frequency. For velocities above this resonant region, the frequency splits into two diverging branches. Analysis of the amplitude response reveals that the transition between galloping and vortex-induced vibrations occurs over a narrow range of angle of incidence. Despite the rich set of states found in the parameter space the vortex shedding modes remain very similar to those found previously in vortex-induced vibration.

Type
Papers
Copyright
Copyright © Cambridge University Press 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Assi, G. R. S., Meneghini, J. R., Aranha, J. A. P., Bearman, P. W. & Casaprima, E. 2006 Experimental investigation of flow-induced vibration interference between two circular cylinders. J. Fluids Struct. 22, 819827.CrossRefGoogle Scholar
2. Bearman, P. W. 1984 Vortex shedding from oscillating bluff bodies. Annu. Rev. Fluid Mech. 16, 195222.CrossRefGoogle Scholar
3. Bearman, P. W., Gartshore, I. S., Maull, D. J. & Parkinson, G. V. 1987 Experiments on flow-induced vibration of a square-section cylinder. J. Fluids Struct. 1, 1934.CrossRefGoogle Scholar
4. Blevins, R. D.  (Ed.) 1990 Flow-induced Vibration. Von Nostrand Reinhold.Google Scholar
5. Bokaian, A. R. & Geoola, F. 1983 On the cross flow response of cylindrical structures. Proc. Inst. Cir. Engng 75, 397418.Google Scholar
6. Bokaian, A. R. & Geoola, F. 1984 Hydroelastic instabilities of square cylinders. J. Sound Vib. 92, 117141.CrossRefGoogle Scholar
7. Bouclin, D. N. 1977 Hydroelastic oscillations of square cylinders. Master’s thesis, University of British Columbia, Vancouver, BC, Canada.Google Scholar
8. Carberry, J., Govardhan, R., Sheridan, J., Rockwell, D. & Williamson, C. H. K. 2004 Wake states and response branches of forced and freely oscillating cylinders. Eur. J. Mech. 23, 8997.CrossRefGoogle Scholar
9. Corless, R. M. & Parkinson, G. V. 1988 A model of the combined effects of vortex-induced oscillation and galloping. J. Fluids Struct. 2, 203220.CrossRefGoogle Scholar
10. Corless, R. M. & Parkinson, G. V. 1993 Mathematical modelling of the combined effects of vortex-induced vibration and galloping. Part II. J. Fluids Struct. 7, 825848.CrossRefGoogle Scholar
11. Den Hartog, J. P. 1932 Transmission line vibration due to sleet. Trans. AIEE 51, 10741076.Google Scholar
12. Deniz, S. & Staubli, T. 1997 Oscillating rectangular and octagonal profiles: interaction of leading- and trailing-edge vortex formation. J. Fluids Struct. 11, 332.CrossRefGoogle Scholar
13. Dutta, S., Panigrahi, P. K. & Muralidhar, K. 2008 Experimental investigation of flow past a square cylinder at an angle of incidence. J. Engng Mech. 134, 788803.Google Scholar
14. Feng, C. C. 1968 The measurement of vortex-induced effects in flow past stationary and oscillating circular and D-section cylinders. Master’s thesis, University of British Columbia, Vancouver, BC, Canada.Google Scholar
15. Fouras, A., Lo Jacono, D. & Hourigan, K. 2008 Target-free stereo PIV: a novel technique with inherent error estimation and improved accuracy. Exp. Fluids 44, 317329.CrossRefGoogle Scholar
16. Govardhan, R. & Williamson, C. H. K. 2000 Modes of vortex formation and frequency response of a freely vibrating cylinder. J. Fluid Mech. 420, 85130.CrossRefGoogle Scholar
17. Govardhan, R. & Williamson, C. H. K. 2004 Critical mass in vortex-induced vibration of a cylinder. Eur. J. Mech. 23, 1727.CrossRefGoogle Scholar
18. Govardhan, R. N. & Williamson, C. H. K. 2006 Defining the ‘modified Griffin plot’ in vortex-induced vibration: revealing the effect of Reynolds number using controlled damping. J. Fluid Mech. 561, 147180.CrossRefGoogle Scholar
19. Hover, F. S., Techet, A. H. & Triantafyllou, M. S. 1998 Forces on oscillating uniform and tapered cylinders in cross flow. J. Fluid Mech. 363, 97114.CrossRefGoogle Scholar
20. Khalak, A. & Williamson, C. H. K. 1996 Dynamics of a hydroelastic cylinder with very low mass and damping. J. Fluids Struct. 10, 455472.CrossRefGoogle Scholar
21. Khalak, A. & Williamson, C. H. K. 1997a Fluid forces and dynamics of a hydroelastic structure with very low mass and damping. J. Fluids Struct. 11, 973982.CrossRefGoogle Scholar
22. Khalak, A. & Williamson, C. H. K. 1997b Investigation of relative effects of mass and damping in vortex-induced vibration of a circular cylinder. J. Wind Engng. Ind. Aerodyn. 69–71, 341350.CrossRefGoogle Scholar
23. Khalak, A. & Williamson, C. H. K. 1999 Motions, forces and mode transitions in vortex-induced vibrations at low mass-damping. J. Fluids Struct. 13, 813851.CrossRefGoogle Scholar
24. Klamo, J. T., Leonard, A. & Roshko, A. 2006 The effects of damping on the amplitude and frequency response of a freely vibrating cylinder in cross-flow. J. Fluids Struct. 22, 845856.CrossRefGoogle Scholar
25. Leontini, J. S., Stewart, B. E., Thompson, M. C. & Hourigan, K. 2006 Wake state and energy transitions of an oscillating cylinder at low Reynolds number. Phys. Fluids 18, 067101.CrossRefGoogle Scholar
26. Luo, S. C., Tong, X. H. & Khoo, B. C. 2007 Transition phenomena in the wake of a square cylinder. J. Fluids Struct. 23, 227248.CrossRefGoogle Scholar
27. Morse, T. L., Govardhan, R. N. & Williamson, C. H. K. 2008 The effect of end conditions on the vortex-induced vibration of cylinders. J. Fluids Struct. 24, 12271239.CrossRefGoogle Scholar
28. Naudascher, E. & Rockwell, D. 1994 Flow-induced Vibrations: an Engineering Guide. A. A. Balkema.Google Scholar
29. Naudascher, E. & Wang, Y. 1993 Flow-induced vibrations of prismatic bodies and grids of prisms. J. Fluids Struct. 7, 341373.CrossRefGoogle Scholar
30. Norberg, C. 1993 Flow around rectangular cylinders: pressure forces and wake frequencies. J. Wind Engng. Ind. Aerodyn. 49, 187196.CrossRefGoogle Scholar
31. Obasaju, E. D., Ermshaus, R. & Naudascher, E. 1990 Vortex-induced streamwise oscillations of a square-section cylinder in a uniform stream. J. Fluid Mech. 213, 171189.CrossRefGoogle Scholar
32. Okajima, A. 1982 Strouhal numbers of rectangular cylinders. J. Fluid Mech. 123, 379398.CrossRefGoogle Scholar
33. Parkinson, G. 1989 Phenomena and modelling of flow-induced vibrations on bluff bodies. Prog. Aerosp. Sci. 26, 169224.CrossRefGoogle Scholar
34. Parkinson, G. V. & Smith, J. D. 1964 The square prism as an aeroelastic nonlinear oscillator. Q. J. Mech. Appl. Maths 17, 225239.CrossRefGoogle Scholar
35. Parkinson, G. V. & Wawzonek, M. A. 1981 Some considerations of combined effects of galloping and vortex resonance. J. Wind Engng. Ind. Aerodyn. 8, 135143.CrossRefGoogle Scholar
36. Pomeau, Y. & Manneville, P. 1980 Intermitten transition to turbulence in dissipative dynamical systems. Commun. Math. Phys. 74, 189197.CrossRefGoogle Scholar
37. Sarpkaya, T. 1979 Vortex-induced oscillations: a selective review. J. Appl. Mech. 46, 241258.CrossRefGoogle Scholar
38. Sarpkaya, T. 2004 A critical review of the intrinsic nature of vortex-induced vibrations. J. Fluids Struct. 19, 389447.CrossRefGoogle Scholar
39. Sheard, G. J., Fitzgerald, M. J. & Ryan, K. 2009 Cylinders with square cross-section: wake instabilities with incidence angle variation. J. Fluid Mech. 630, 4369.CrossRefGoogle Scholar
40. Tong, X. H., Luo, S. C. & Khoo, B. C. 2008 Transition phenomena in the wake of an inclined square cylinder. J. Fluids Struct. 24, 9941005.CrossRefGoogle Scholar
41. van Oudheusden, B. W., Scarano, F., van Hinsberg, N. P. & Roosenboom, E. W. M. 2008 Quantitative visualization of the flow around a square-section cylinder at incidence. J. Wind Engng Ind. Aerodyn. 96, 913922.CrossRefGoogle Scholar
42. Vickery, B. J. 1966 Fluctuating lift and drag on a long cylinder of square cross-section in a smooth and in a turbulent stream. J. Fluid Mech. 25, 481494.CrossRefGoogle Scholar
43. Wang, Z. J. & Zhou, Y. 2005 Vortex-induced vibration characteristics of an elastic square cylinder on fixed supports. J. Fluids Engng 127, 241249.CrossRefGoogle Scholar
44. Williamson, C. H. K. & Govardhan, R. N. 2004 Vortex-induced vibrations. Annu. Rev. Fluid Mech. 36, 413455.CrossRefGoogle Scholar
45. Williamson, C. H. K. & Roshko, A. 1988 Vortex formation in the wake of an oscillating cylinder. J. Fluids Struct. 2, 355381.CrossRefGoogle Scholar
46. Yoon, D., Yang, K. & Choi, C. 2010 Flow past a square cylinder with an angle of incidence. Phys. Fluids 22, 043603.CrossRefGoogle Scholar