TECHNICAL PAPERS
Jun 1, 1989

Force Oscillator Model for Rectangular Cylinder

Publication: Journal of Engineering Mechanics
Volume 115, Issue 6

Abstract

In 1970, Hartlen and Currie published a theory which described the transverse oscillations of a circular cylinder in a normal steady wind. This theory is used here to successfully describe the longitudinal oscillations of a rectangular cylinder with a side length ratio of 10 and standing at an angle of attack of 30% to the oncoming flow of water. This configuration is similar to that sometimes found in trashracks. The model is based on the notion that the fluctuating longitudinal force associated with vortex shedding and exciting the oscillations may be considered to arise from the action of something analogous to an oscillator in the separated flow. The model fndicates a dynamic interaction between the vortex shedding and the cylinder motion. Good agreement between measured amplitude and frequency response curves was obtained. This agreement suggests that a fundamental similarity exists in the physics of the transverse oscillations of Hartlen's and Currie's circular cylinder and the longitudinal oscillations of the rectangular cylinder investigated in the present study.

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References

1.
Berger, E. (1984). “Two fundamental aspects of vortex‐excited oscillations.” Final Rep. of Res. Proj. Be 343/12, German Res. Foundation (DFG), Hermann‐Fottinger‐Inst. for Thermo‐ and Fluid Dynamics, Berlin Tech. Univ., Berlin, West Germany (in German).
2.
Callander, S. J. (1987). “Flow‐induced vibrations of rectangular bars,” thesis presented to the Institute of Hydromechanics, University of Karlsruhe, Karlsruhe, West Germany (in German), in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
3.
Hartlen, R. T., and Currie, I. G. (1970). “Lift‐oscillator model of vortex‐induced vibration.” J. Engrg. Mech., ASCE, 96(EM5), 577–591.
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Iwan, W. D., and Blevins, R. D. (1974). “A model forthe vortex‐induced oscillation of structures.” J. Appl. Mech., ASME, 41, 581–585.
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Knisely, C. W. (1985). “Strouhal numbers of rectangular cylinders at incidence.” Bericht Nr. SFB 210/E/13, Sonderforschungsbereich 210, Univ. Karlsruhe, Karlsruhe, West Germany.
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McCroskey, W. J. (1977). “Some current research in unsteady fluid dynamics—The 1976 Freeman scholar lecture.” J. Fluids Engrg., ASME, 8–39, Mar.
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Paidoussis, M. P. (1982). “Flow‐induced vibration of cylindrical structures: Areview of the state of the art.” M.E.R.L. Rep. 82‐1, Mech. Engrg. Res. Lab., Dept. of Mech. Engrg., McGill Univ., Montreal, Canada, Aug.
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Schlichting, H. (1979). Boundary layer theory, 7th Ed., McGraw‐Hill Book Co., Inc., New York, N.Y.
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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 115Issue 6June 1989
Pages: 1336 - 1346

History

Published online: Jun 1, 1989
Published in print: Jun 1989

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Authors

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Stephen John Callander
Hydr. Engr., Lahmeyer Int. GmbH, Consulting Engrs., Postfach 710651, D‐6000 Frankfurt am Main 71, West Germany

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