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TECHNICAL PAPERS

Nonlinear Identification and Input-Output Representation of the Modal Dynamics of Marine Slender Structures

[+] Author and Article Information
Nikolaos I. Xiros

School of Naval Architecture and Marine Engineering, National Technical University of Athens, 9 Heroon Polytechniou Ave., GR157-73, Zografos Campus, Athens, Greece

Ioannis K. Chatjigeorgiou1

School of Naval Architecture and Marine Engineering, National Technical University of Athens, 9 Heroon Polytechniou Ave., GR157-73, Zografos Campus, Athens, Greecechatzi@naval.ntua.gr

1

Corresponding author.

J. Offshore Mech. Arct. Eng 129(3), 188-200 (Jan 24, 2007) (13 pages) doi:10.1115/1.2746391 History: Received October 06, 2005; Revised January 24, 2007

The present work treats the problem of the dynamic behavior of a vertical slender structure subject to combined axial and transverse motions. The solution method is based on a Galerkin-type semi-analytical formulation. The responses to sinusoidal monochromatic excitation are assessed with respect to the significance of each mode and their spectral content. As a result, a reduced, yet nonlinear, lumped model for each one of the significant modes of the structure is generated. The parameters of these fixed-structure models can be determined systematically by two methods relying on the spectral analysis of the numerically calculated modal responses of the structure. The resulting models constitute an explicit input-output relationship between the imposed motions and the modes of the structure, useful for stability analysis, design and control.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic of a vertical slender structure under combined parametric and lateral excitation

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Figure 2

Nonlinear model structure used for depicting riser’s dynamic behavior

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Figure 3

Discrete-time nonlinear model at sinusoidal steady state

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Figure 4

Compiled numerical model data series and their spectra for case 1

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Figure 5

Validation of the three dominant modes in the Volterra models against numerical integration for case 1

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Figure 6

Validation of the three dominant modes in the Volterra models against numerical integration for case 2

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Figure 7

Validation of the three dominant modes in the Volterra models against numerical integration for case 3

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Figure 8

Fragments of the FIR filters g̃1(nTs), g̃2(nTs) for the three dominant modes in the Volterra models for case 1

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Figure 9

Fragments of the FIR filters g̃1(nTs), g̃2(nTs) for the three dominant modes in the Volterra models for case 2

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Figure 10

Fragments of the FIR filters g̃1(nTs), g̃2(nTs) for the three dominant modes in the Volterra models for case 3

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