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TECHNICAL PAPERS

A Nonlinear Dynamics Analysis of Vortex-Structure Interaction Models

[+] Author and Article Information
N. W. Mureithi, S. Goda, H. Kanki

Department of Mechanical Engineering, Kobe University, Kobe 657-8501, Japan

T. Nakamura

Mitsubishi Heavy Industries, Takasago R&D Center, Takasago 676-8686, Japan

J. Pressure Vessel Technol 123(4), 475-479 (Jul 16, 2001) (5 pages) doi:10.1115/1.1403023 History: Received March 18, 2001; Revised July 16, 2001
Copyright © 2001 by ASME
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References

Hartlen,  R. T., and Currie,  I. G., 1970, “Lift-Oscillator Model of Vortex Vibration,” J. Eng. Mech. Div., Am. Soc. Civ. Eng., 96, pp. 577–591.
Landl,  R., 1975, “A Mathematical Model for Vortex-Excited Vibrations of Bluff Bodies,” J. Sound Vib., 42(2), pp. 219–234.
Sarpkaya,  T., 1979, Vortex-Induced Oscillations—A Selective Review, ASME J. Appl. Mech., 46, pp. 241–258.
Mureithi, N. W., Kanki, H., and Nakamura, T., 2000, “Bifurcation and Perturbation Analysis of Some Vortex Shedding Models,” Flow Induced Vibrations, eds., S. Ziada and T. Staubli, pp. 61–68.
Mureithi, N. W., Kanki, H., and Nakamura, T., 2000, “Bifurcation and Perturbation Analysis of a Class of Vortex-Structure Interaction Models,” Proc., International Conf. on Structural Stability and Design (ICSSD2000).
Doedel, E. J., 1981, “AUTO: A Program for the Automatic Bifurcation Analysis of Autonomous Systems,” Proc., 10th Manitoba Conf. Num. Math. and Comp. Congr. Numer., 30 , pp. 265–284.
Parkinson, G. V., Feng, C. C., and Ferguson, N., 1968, “Mechanism of Vortex-Excited Oscillation of Bluff Cylinders,” Symposium on Wind Effects on Buildings and Structures, Loughborough, England, Paper 27.
Chen, S. S., 1987, Flow-Induced Vibration of Circular Cylindrical Structures, Hemisphere, New York, NY.
Blevins, R. D., 1999, “On Vortex-Induced Fluid Forces on Oscillating Cylinders,” Flow-Induced Vibration, ed., M. J. Pettigrew, ASME PVP-Vol. 389, pp. 103–111.
Chen,  S. S., Zhu,  S., and Cai,  Y., 1995, “An Unsteady Flow Theory for Vortex-Induced Vibration,” J. Sound Vib., 184(1), pp. 73–92.
Olinger, D. J., and Sreenivasan, K. R., 1988, “Universal Dynamics in the Wake of an Oscillating Cylinder at Low Reynolds Numbers,” Proc. ASME Symposium on FIV, Vol. 7, pp. 1–29.
Mureithi, N. W., Masaki, R., Kaneko, S., and Nakamura, T., 1998, “Mode-Locking and Quasi-Periodicity in the Bifurcation Behavior of a Vortex-Shedding Model,” ASME PVP-Vol. 363, pp. 19–26.
Nayfeh, A.H., 1973, Perturbation Methods, Wiley, New York, NY.
Waleffe,  F., 1990, “On the Three-Dimensional Instability of Strained Vortices,” Phys. Fluids A, 2(1), pp. 76–80.
Pierrehumbert,  R. T., and Widnall,  S. E., 1982, J. Fluid Mech., 114, pp. 59–82.

Figures

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Resonance response based on the HC model
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Resonance response via the Landl model
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Mode lock in for p/q=2/1
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Resonance behavior of the Mathieu equation
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(a) Overview of test tank with test cylinder in place; (b) close-up view of test cylinder
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Stages of secondary instability for ω/Ω=2 in the wake showing: (a) initial symmetrical vortices; (b) symmetry breaking and counter rotation of vortices; (c) merged vortex; (d) initial symmetry breaking for second half of the cycle
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Typical flow structure for ω/Ω=3—(a) shedding of symmetrical pair of vortices, (b) complex post-shedding flow structure

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