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Research Papers

Stochastic Analysis of Nonlinear Responses of a Moored Structure Under Narrow Band Excitations

[+] Author and Article Information
Solomon C. Yim, Dongjun Yuk, I-Ming Shih

Department of Civil Engineering, Oregon State University, Corvallis, OR 97331-2302

Arvid Naess

Department of Mathematical Science, Norwegian University of Science and Technology, NO-7491, Trondheim, Norway

J. Offshore Mech. Arct. Eng 130(1), 011004 (Jan 29, 2008) (7 pages) doi:10.1115/1.2827878 History: Received December 29, 2005; Revised November 09, 2007; Published January 29, 2008

A semianalytical method is developed for the stochastic analysis of a nonlinear moored ocean structure subjected to narrow band random waves. The method is then used to investigate the probability distribution of extreme values of the responses. To verify the accuracy and capability of the method in handling complex nonlinear behavior of the nonlinear moored ocean structure, experimental results are employed to calibrate numerical simulations and the resulting probability distributions obtained from the semianalytical method. A nonlinear-structure nonlinearly damped model is employed to model the moored structure considered and the system coefficients are identified through the reverse multiple-input/single-output technique. An examination of the comparisons indicates that the structural response extreme value probability distributions obtained from the semianalytical predictions are quite accurate.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Experimental model of a submerged, hydrodynamically damped, and excited structural system

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Figure 2

Frequency response diagram (experimental results); (---) estimated stability boundaries

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Figure 3

Coexisting attraction domain (a) 1∕2 subharmonic attraction domain; (b) large harmonic attraction domain {A=1.0}

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Figure 4

Time series of the system response under deterministic excitation {A=0.75 for t⩽600s, A=0.85 for t>600s}

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Figure 5

Response amplitude curve {m=3.428, Ca=0.25, ξ=0.06, Cd′=0.02, Cm=1.25, Cd=0.1, a1=9.3, a2=4.0, a3=4.0}; transitions and variations of system response amplitude along the response amplitude curves are also shown

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Figure 6

Experimental excitation: (a) wave profile; (b) wave spectra

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Figure 7

Overall response amplitude distribution: (a) Test D15; (b) Test D16; (c) Test D17; (d) Test D18; (e) Test D19

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