The effect of nonlinear damping and restoring in ship rolling

Lmi - Based H2 and H State - Feedback Controller Design for Fin Stabilizer of Nonlinear Roll Motion of a Fishing Boat

“…Considering these simplifications, ship rolling behavior was represented by Taylan [22] the following nonlinear expression, …”

Modified pid control design for roll fin actuator of nonlinear modelling of the fishing boat

“…The roll restoring moment coefficients are defined by Taylan [21]. (6) (7) (8) Ø v means vanishing angle of stability, A Øv means area under the GZ curve up to angle of vanishing stability, GM represents the distance between the position of metacenter and the vertical center of gravity of the vessel.…”

“…Haddara and Wang [7] examined the controllability and maneuvering performance of conventional surface ships using neural networks technique to predict the hydrodynamic parameters of the ship. Taylan [21] studied impact of nonlinear terms in ship rolling motion. Surendran and Reddy [18] revealed solution of differential equation of roll motion considering the nonlinearities in both the restoring moment and the damping moment using Matlab for a Ro-Ro ship.…”

Method for ship’s rolling period prediction with regard to non-linearity of GZ curve

“…Among newer papers, there is a significant number of worthwhile works devoted to the synchronous rolling and parametric rolling in the context of development of the second generation of intact stability criteria (Belenky et al, 2011;Holden et al, 2007;Rodriguez, 2006, 2009;Shin et al, 2004;Umeda, 2013). Also, there is a noteworthy quantity of works dedicated to various mathematical models of rolling, mainly with regard to nonlinearities existing in particular components of the roll equation or a system of motion equations in the case of the coupling analysis (Bulian, 2005;Contento et al, 1996;Francescutto and Contento, 1999;Taylan, 2000). The importance of the influence of the mathematical model used was presented by Spanos and Papanikolaou (2009) who presentes a comparison of results of calculations of rolling on waves using 14 different, recognized simulations programs.…”