A system-identification technique based on the Reverse Multiple-Input/Single-Output (R-MI/SO) procedure is applied to identify the parameters of an experimental mooring system exhibiting nonlinear behavior. In Part 1, two nonlinear small-body hydrodynamic Morison type formulations: (A) with a relative-velocity (RV) model, and (B) with an independent-flow-field (IFF) model, are formulated. Their associated nonlinear system-identification algorithms based on the R-MI/SO system-identification technique: (A.1) nonlinear-structure linearly damped, and (A.2) nonlinear-structure coupled hydrodynamically damped for the RV model, and (B.1) nonlinear-structure nonlinearly damped for the IFF model, are developed for an experimental submerged-sphere nonlinear mooring system under ocean waves. The analytic models and the associated algorithms for parametric identification are described. In this companion paper (Part 2), we use the experimentally measured input wave and output system response data and apply the algorithms derived based on the multiple-input/single-output linear analysis of the reverse dynamic systems to identify the system parameters. The two nonlinear models are examined in detail and the most suitable physical representative model is selected for the mooring system considered. A sensitive analysis is conducted to investigate the coupled hydrodynamic forces modeled by the Morison equation, the nonlinear stiffness from mooring lines and the nonlinear response. The appropriateness of each model is discussed in detail.

1.
Narayanan
,
S.
, and
Yim
,
S. C. S.
,
2004
, “
Modeling and Identification of a Nonlinear SDOF Moored Structure, Part 1–Hydrodynamic Models and Algorithms
,”
ASME J. Offshore Mech. Arct. Eng.
,
126
(
2
), pp.
176
183
.
2.
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, Oregon State University, Ocean Engineering Report No. OE-93-03.
3.
Wang
,
C. Y.
,
1965
, “
The Flow Induced by an Oscillating sphere.
J. Sound Vib.
,
2
(
3
), pp.
257
267
.
4.
Hjelmfelt
,
A. T.
,
Carney
, III,
J. F.
,
Lee
,
S. L.
, and
Mockros
,
L. F.
,
1967
, “
Dynamic Response of a Restrained Sphere in a Fluid
,”
J. Eng. Mech. Div.
,
93
, pp.
41
56
.
1.
Harleman, D. R. F., and Shapiro, W. C., 1958, “
Investigations on the Dynamics of Moored Structures in Waves,” M. I. T. Hydrodynamics Lab. Tech. Rept. No. 28
.
2.
Hjelmfelt
,
A. T.
, et al.
,
1967
, “
Dynamic Response of a Restrained Sphere in a Fluid
,”
J. Eng. Mech. Div.
,
93
, pp.
41
56
.
1.
Grace
,
R. A.
, and
Zee
,
G. T. Y.
,
1978
, “
Further Tests on Ocean Wave Forces on Sphere
,”
J. Waterway Port Coastal and Ocean Div.
,
104
, pp.
83
88
.
2.
Grace
,
R. A.
, and
Casiano
,
F. M.
,
1969
, “
Ocean Wave Forces on a Sub Surface Sphere
,”
J. Waterways and Harbor Div.
,
95
, pp.
291
312
.
3.
Gerald, G. F., and Wheatley, P. O., 1989. Applied Numerical Analysis, Addison-Wesley Publishing Company.
4.
Laya
,
E. J.
,
Connor
,
J. J.
, and
Shyam Sundar
,
S.
,
1984
, “
Hydrodynamic Forces on Flexible Offshore Structures
,”
J. Eng. Mech. Div.
,
123
, pp.
433
488
.
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