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Structures and Safety Reliability

Extreme Response Analysis of Floating Structures Using Coupled Frequency Domain Analysis

[+] Author and Article Information
Ying Min Low

School of Civil and Environmental Engineering, Nanyang Technological University, Block N1, Nanyang Avenue, Singapore 639798, Singaporeymlow@ntu.edu.sg

Andrew J. Grime

School of Civil and Resource Engineering, University of Western Australia, 35 Stirling Highway, Crawley WA 6009, Perth, Australiagrime@civil.uwa.edu.au

J. Offshore Mech. Arct. Eng 133(3), 031601 (Mar 29, 2011) (8 pages) doi:10.1115/1.4002734 History: Received January 28, 2010; Revised August 03, 2010; Published March 29, 2011; Online March 29, 2011

In the dynamic analysis of a floating structure, coupled analysis refers to a procedure in which the vessel, moorings, and risers are modeled as a whole system, thus allowing for interactions between various system components. Because coupled analysis in the time domain is impractical owing to prohibitive computational costs, a highly efficient frequency domain approach was developed in a previous work, wherein the drag forces are linearized. The study showed that provided the geometric nonlinearity of the moorings/risers is insignificant, which often holds for ultradeepwater systems, the mean-squared responses yielded by the time and frequency domain methods are in close agreement. Practical design is concerned with the extreme response, for which the mean upcrossing rate is a key parameter. Crossing rate analysis based on statistical techniques is complicated as the total response occurs at two timescales, with the low frequency contribution being notably non-Gaussian. Many studies have been devoted to this problem, mainly relying on a technique originating from Kac and Siegert; however, these studies have mostly been confined to a single-degree-of-freedom system. The aim of this work is to apply statistical techniques in conjunction with frequency domain analysis to predict the extreme responses of the coupled system, in particular the modes with a prominent low frequency component. It is found that the crossing rates for surge, sway and yaw thus obtained agree well with those extracted from time domain simulation, whereas the result for roll is less favorable, and the reasons are discussed.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Model of the coupled system

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Figure 2

Probability density function of the vessel motion for (a) surge, (b) sway, and (c) yaw

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Figure 3

Probability density function of the roll motion

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Figure 4

Mean upcrossing rate for (a) surge, (b) sway, and (c) yaw

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Figure 5

Mean upcrossing rate for roll

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