Identification of transfer functions from surge motion response of a semisubmersible platform using time-varying NARX model

Identification of transfer functions from surge motion response of a semisubmersible platform from model test data is presented in this paper. The identification is carried out by estimating the time-varying model coefficients of a time-varying NARX (TVNARX) model. The coefficients are estimated using proposed method, named artificial bee colony-based Kalman smoother (ABC-KS). System input–output data for identification process are wave height and surge motion from a scaled 1:100 model of a prototype semisubmersible. The applicability of proposed method is assessed numerically and experimentally under unidirectional long-crested random waves. The results show that the linear and quadratic frequency response functions as well as the wave and low frequency responses of a semisubmersible platform can be well identified either in time or frequency domains. The evolution of the nonlinear wave-structure interactions also can be revealed with respect to measured time duration.

[1]  Edward J. Powers,et al.  On the Estimation of Nonlinear Volterra Models in Offshore Engineering , 2002 .

[2]  Ying Min Low,et al.  Understanding the Dynamic Coupling Effects in Deep Water Floating Structures Using a Simplified Model , 2008 .

[3]  Amitava Chatterjee,et al.  MMSE design of nonlinear Volterra equalizers using artificial bee colony algorithm , 2013 .

[4]  J. N. Newman Second-order, slowly-varying Forces on Vessels in Irregular Waves , 1974 .

[5]  Nicholas Haritos,et al.  Optimal sample length for calculating transfer functions from discrete experimental data , 2005 .

[6]  D. Karaboga,et al.  On the performance of artificial bee colony (ABC) algorithm , 2008, Appl. Soft Comput..

[7]  C. T. Stansberg Data Interpretation And System Identification In Hydrodynamic Model Testing , 2001 .

[8]  Jose M. Roesset,et al.  Use of Quadratic Transfer Functions to Predict Response of Tension Leg Platforms , 1996 .

[9]  Yonghwan Kim,et al.  Time series prediction of nonlinear ship structural responses in irregular seaways using a third-order Volterra model , 2014 .

[10]  Manuel Duarte Ortigueira,et al.  On the HHT, its problems, and some solutions , 2008 .

[11]  Animesh Chatterjee Parameter estimation of Duffing oscillator using Volterra series and multi-tone excitation , 2010 .

[12]  C T Stansberg,et al.  LOW-FREQUENCY EXCITATION AND DAMPING CHARACTERISTICS OF A MOORED SEMISUBMERSIBLE IN IRREGULAR WAVES - ESTIMATION FROM MODEL TEST DATA , 1994 .

[13]  Stephen A. Billings,et al.  Spectral Analysis for Nonstationary and Nonlinear Systems: A Discrete-Time-Model-Based Approach , 2013, IEEE Transactions on Biomedical Engineering.

[14]  Hung-Wei Lin,et al.  NON-LINEAR PITCH MOTION IDENTIFICATION AND INTERPRETATION OF A TENSION LEG PLATFORM , 2004 .

[15]  Pol D. Spanos,et al.  Coupled Analysis of a Spar Structure: Monte Carlo and Statistical Linearization Solutions , 2005 .

[16]  Odd M. Faltinsen,et al.  Sea loads on ships and offshore structures , 1990 .

[17]  Torgeir Moan,et al.  Hybrid frequency-time domain models for dynamic response analysis of marine structures , 2008 .

[18]  Mika P. Tarvainen,et al.  Estimation of nonstationary EEG with Kalman smoother approach: an application to event-related synchronization (ERS) , 2004, IEEE Transactions on Biomedical Engineering.

[19]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[20]  V. J. Kurian,et al.  Effect of slowly varying drift forces on the motion characteristics of truss spar platforms , 2011 .

[21]  H. Abarbanel,et al.  Determining embedding dimension for phase-space reconstruction using a geometrical construction. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[22]  E. Bedrosian,et al.  The output properties of Volterra systems (nonlinear systems with memory) driven by harmonic and Gaussian inputs , 1971 .

[23]  In Yeol Paik,et al.  Nonlinear frequency domain analysis of flexible offshore structures using volterra series , 2005 .

[24]  R. Huijsmans,et al.  Identification of quadratic responses of floating structures in waves , 2006 .

[25]  S. A. Billings,et al.  Spectral analysis for non-linear systems, Part I: Parametric non-linear spectral analysis , 1989 .

[26]  Mohammad Emtiyaz Khan,et al.  An Expectation-maximization Algorithm Based Kalman Smoother Approach for Event-related Desynchronization (erd) Estimation from Eeg , 2022 .

[27]  Arvid Naess,et al.  Extreme response prediction for nonlinear floating offshore structures by Monte Carlo simulation , 2007 .