TECHNICAL NOTES
Apr 1, 1998

Experimental Calibration of Bifurcation Superstructure of Nonlinear System

Publication: Journal of Engineering Mechanics
Volume 124, Issue 4

Abstract

Results of a medium-scale experimental study revealing the underlying superstructure in bifurcation sets of a submerged, moored ocean system are reported. The experimental model, assimilating nonlinear moored structural responses, consists of a spherical buoy and attached multipoint mooring lines. The model is excited under a periodic wave field in a closed channel. Sources of system nonlinearity include complex geometric restoring force and coupled fluid-structure interaction exciting forces. Experimental setup, configuration, and classification of the measured results are described. Characteristic motions observed include harmonic, subharmonic, and ultraharmonic responses. Nonlinear primary and secondary resonances in the response are identified in frequency response diagrams, which also indicate the existence of intricate patterns of the nonlinear global behavior.

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References

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Gottlieb, O., and Yim, S. C. S.(1992). “Nonlinear oscillations, bifurcations and chaos in a multi-point mooring system with a geometric nonlinearity.”Appl. Oc. Res., 14, 241–257.
2.
Gottlieb, O., Yim, S. C. S., and Lin, H.(1997). “Analysis of bifurcated superstructure of nonlinear ocean system.”J. Engrg. Mech., ASCE, 123(11), 1180–1187.
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Parlitz, U., and Lauterborn, W.(1985). “Superstructure in the bifurcation set of the Duffing equation.”Phys. Letters A, 107(8), 351–355.
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Triantafyllou, M. S., and Yue, D. K. P.(1995). “Damping amplification in highly extensible hysteretic cables.”J. Sound and Vibration, 186, 355–368.
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Yim, S. C. S., Myrum, M. A., Gottlieb, O., Lin, H., and Shih, I.-M. (1993). “Summary and preliminary analysis of nonlinear oscillations in a submerged mooring system experiment.”Oc. Engrg. Rep. No. OE-93-03, Oregon State University, Corvallis, Oreg.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 124Issue 4April 1998
Pages: 471 - 475

History

Published online: Apr 1, 1998
Published in print: Apr 1998

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Authors

Affiliations

H. Lin
Res. Assoc., Dept. of Civ. Engrg., Oregon State Univ., Corvallis, OR 97331.
S. C. S. Yim, Member, ASCE
Prof., Dept. of Civ. Engrg., Oregon State Univ., Corvallis, OR.

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