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TECHNICAL PAPERS

An Independent-Flow-Field Model for a SDOF Nonlinear Structural System–Part II: Analysis of Complex Responses

[+] Author and Article Information
Huan Lin

Ocean Engineering Program, Department of Civil Engineering, Oregon State University, Corvallis, OR 97331linh@engr.orst.edu

Solomon C. Yim

Ocean Engineering Program, Department of Civil Engineering, Oregon State University, Corvallis, OR 97331solomon.yim@oregonstate.edu

J. Offshore Mech. Arct. Eng 128(1), 23-30 (Sep 27, 2005) (8 pages) doi:10.1115/1.2151201 History: Revised September 27, 2005

Complex responses observed in an experimental, nonlinear, moored structural system subjected to nearly periodic wave excitations are examined and compared to the simulations of a newly proposed independent-flow-field (IFF) model in this paper. Variations in wave heights are approximated by additive random perturbations to the dominant periodic component. Simulations show good agreement with the experimental results in both time and frequency domains. Noise effects on the experimental results, including bridging and transition phenomena, are investigated and interpreted by comparing to the simulations of its deterministic counterpart. Possible causes of a chaoticlike experimental result as previously observed are also inferred.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Amplitude response curve near subharmonic resonance (0.5Hz): CA=0.25, CD=0.1, k1=9.3lb∕ft, k2=4.0lb∕ft2, k3=4.0lb∕ft3, CD′=0.02, and ζS=6%

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Figure 2

Time histories of sample responses near subharmonic resonance (0.5Hz): (a) small-amplitude harmonics (wave amplitude of 0.5ft), (b) subharmonics, and (c) large-amplitude harmonics (wave amplitude of 0.8ft)

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Figure 4

Coexisting harmonic response with wave amplitude of 0.25ft near primary resonance (0.27Hz): (a) small amplitude and (b) large amplitude

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Figure 8

Noisy experimental responses: (a) small noise intensity with variance ∼0.01 (Test D7) and (b) larger noise intensity with variance ∼0.04 (Test D6)

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Figure 9

Possible noisy-chaotic experimental response at wave frequency of 0.5Hz (Test D13): (a) wave profile and (b) response

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Figure 10

“Possible” noisy chaotic response on Poincaré map: (a) measured data and (b) simulations (CA=0.25, CD=0.1, k1=9.3lb∕ft, k2=4.0lb∕ft2, k3=4.0lb∕ft3, CD′=0.02, and ζS=6%)

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Figure 3

Amplitude response curve near primary resonance (0.27Hz): CA=0.25, CD=0.1, k1=9.3lb∕ft, k2=4.0lb∕ft2, k3=4.0lb∕ft3, CD′=0.02, and ζS=6%

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Figure 5

Amplitude response curve near superharmonic resonance (0.125Hz): CA=0.25, CD=0.1, k1=9.3lb∕ft, k2=4.0lb∕ft2, k3=4.0lb∕ft3, CD′=0.02, and ζS=6%

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Figure 6

Super harmonics near superharmonic resonance (0.125Hz) with wave amplitude equal to (a) 1.25ft and (b) 1.35ft

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Figure 7

Noise-induced transitions on “designed” deterministic experimental responses: (a) single response attractor (Test D1) and (b) coexisting harmonic and subharmonic responses (Test D2)

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