A Numerical Investigation on Nonparametric Identification of Nonlinear Roll Damping Moment of a Ship from Transient Response~!2009-08-29~!2009-09-05~!2010-02-08~!

Abstract

This paper is concerned with the determination of nonlinear roll damping moments of ships including similar floating structures. Using the measured motion response data of ship's roll motion, an inverse problem is formulated for the determination. The problem of damping determination is mathematically involved in a Volterra integral equation of the "first" kind between the roll responses and unknown nonlinear roll damping. This first kind integral equation results in numerical instability, that is, solutions lack stability property. A regularization method is applied in order to suppress the instability. Any priori information is not required on the model of the nonlinear damping. The applicability of the present study is demonstrated through the numerical investigations using the given nonlinear roll equations from the tests.

A Critical Review of Nonlinear Damping Identification in Structural Dynamics: Methods, Applications, and Challenges

“…The proposed method was applied to realistic conditions and provided accurate estimations of the viscous nonlinear drag forces. In other related work, Jang et al [ 193 ] studied the identification of nonlinear roll damping moments of ships containing the same structures. A regularization approach was used to suppress instability.…”

Nonlinear Damping Identification in Nonlinear Dynamic System Based on Stochastic Inverse Approach

“…Recently, Jang et al 5 proposed a nonparametric identification method based on deterministic inverse approach, Landweber regularization method. Jang et al 6 proved the applicability of the method through experimental work. The results presented in the literatures 5, 6 are very encouraging because this method does not require any assumption of the form of nonlinear damping unlike parametric identification method.…”

A numerical scheme for recovering the nonlinear characteristics of a single degree of freedom structure: non-parametric system identification

“…In the last two decades, there has been a lot of research work on the subject of dynamic system identification conducted by Masri et al [1], Chassiakos and Masri [2], Liang et al [3,4], Spina et al [5], Iourtchenko and Dimentberg [6], and others [7][8][9][10][11][12][13][14][15][16][17]. However, most of this research has identified the nonlinear characteristics of either damping or the restoring force.…”