Unstable Oscillation of Rectangular Cylinder at Various Mass Ratios
Publication: Journal of Aerospace Engineering
Volume 12, Issue 4
Abstract
For aerodynamic unstable oscillations, the dynamic properties of a structural system have a strong influence on its response behavior. The mass-damping parameter (the product of the mass ratio and the damping factor), known as the Scruton number, has usually been employed to evaluate the occurrence of aeroelastic instabilities. Buildings and structures have become very light of weight and susceptible to wind-induced oscillations. Consequently, we cannot suppose that the dominant frequency of response is almost equal to the natural frequency of the structural system. Taking into consideration that various kinds of unstable oscillations appear in the heaving oscillation of a rectangular cylinder, a variation in the mass ratio may cause peculiar behavior of the structure, even if the Scruton number is constant. Thus, we must clarify the dependency of various unstable oscillations on the Scruton number and the mass ratio. The purpose of this paper is to investigate the above issues using three-dimensional simulation of the fluid flow around an oscillating rectangular cylinder. The numerical method allows precise control and wide variation of the dynamic properties.
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References
1.
Bearman, P. W. (1984). “Vortex shedding from oscillating bluff bodies.” Annual Review of Fluid Mech., 16, 195–222.
2.
Griffin, O. M., and Ramberg, S. E. (1982). “Some recent studies of vortex shedding with application to marine tubulars and risers.” Trans., ASME, 104(4), 2–13.
3.
Harlow, F. H., and Welch, J. E. (1965). “Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface.” Physics of Fluids, 8, 2182–2189.
4.
Kawamura, T., and Kuwahara, K. (1984). “Computation of high Reynolds number flow around a circular cylinder with surface roughness.” AIAA Paper 84-0340, American Institute of Aerodynamics and Astronautics, Reston, Va.
5.
Miyata, T., Miyazaki, M., and Yamada, H. (1983). “Pressure distribution measurements for wind induced vibrations of box girder bridges.” J. Wind Engrg. and Industrial Aerodyn., 14, 223–234.
6.
Miyazaki, M., and Miyata, T. (1978). “Effect of turbulence scale on aerodynamic responses of rectangular cylinders.” Proc., 5th Symp. on Wind Effects on Struct., Japan, 191–198 (in Japanese).
7.
Nakamura, Y., Kaku, S., and Mizota, T. (1971). “Effect of mass ratio on the vortex excitation of a circular cylinder.” Wind Effects on Build. and Struct., 4(9), 1–10.
8.
Nakamura, Y., and Mizota, T. (1975). “Unsteady lifts and wakes of oscillating rectangular prisms.”J. Engrg. Mech. Div., ASCE, 101(6), 855–871.
9.
Parkinson, G. V., and Smith, J. D. (1964). “The square prism as an aeroelastic non-linear oscillator.” Quarterly J. Mech. and Appl. Mathematics, 17(2), 225–239.
10.
Parkinson, G. V., and Wawzonek, M. A. (1981). “Some considerations of combined effects of galloping and vortex resonance.” J. Wind Engrg. and Industrial Aerodyn., 8, 135–143.
11.
Tamura, T., and Itoh, Y. (1995). “Three-dimensional simulations of an oscillating rectangular cylinder.” Proc., 6th Int. Conf. on Flow-Induced Vibration, Balkema, Rotterdam, The Netherlands, 181–192.
12.
Tamura, T., and Itoh, Y. (1997a). “Three-dimensional vortical flows around a buff cylinder in unstable oscillations.” J. Wind Engrg. and Industrial Aerodyn., 67–68, 141–154.
13.
Tamura, T., and Itoh, Y. (1997b). “Three-dimensional numerical simulations for various aeroelastic behaviors of a rectangular cylinder.” J. Struct. and Constr. Engrg., Toyko, 497, 25–32 (in Japanese).
14.
Tamura, T., and Itoh, Y. (1997c). “Numerical study on aeroelastic instability of a rectangular cylinder in heaving oscillations.” Fluid-structure interaction, aeroelasticity, flow-induced vibration and noise, Vol. 1, ASME, New York, 207–216.
15.
Tamura, T., and Itoh, Y. (1998). “Effects of mass ratio and damping factor on response of unstable oscillations.” J. Struct. and Constr. Engrg., Tokyo, 504, 15–21 (in Japanese.)
16.
Tamura, T., Ohta, I., and Kuwahara, K. (1990). “On the reliability of two-dimensional simulation for unsteady flows around a cylinder-type structure.” J. Wind Engrg. and Industrial Aerodyn., 35, 275–298.
17.
Tamura, T., Tsuboi, K., and Kuwahara, K. (1988). “Numerical simulation of unsteady flow patterns around a vibrating cylinder.” AIAA Paper 88-0128, American Institute of Aerodynamic and Aeronautics, Reston, Va.
18.
Washizu, K., Ohya, A., Otsuki, Y., and Fujii, K. (1978). “Aeroelastic instability of rectangular cylinders in a heaving mode.” J. Sound and Vibration, 59(2), 195–210.
19.
Yamada, H., and Miyata, T. (1984). “Evaluation of galloping of 1:2 rectangular cylinder by its unsteady pressure characteristics.” J. Struct. Mech. and Earthquake Engrg., Tokyo, 344(I-1), 235–241 (in Japanese).
20.
Zdravkovich, M. M. (1982). “Scruton number: a proposal.” J. Wind Engrg. and Industrial Aerodyn., 10, 263–265.
Information & Authors
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Published In
Journal of Aerospace Engineering
Volume 12 • Issue 4 • October 1999
Pages: 136 - 144
History
Received: Mar 11, 1999
Published online: Oct 1, 1999
Published in print: Oct 1999
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