Control of Ship Roll and Yaw Angles During Turning Motion

Abstract

The aim of this paper is Ships are exposed to assorted hydrodynamic forces originating from internal and external influences. The adverse effect of rolling caused by turning motion should be reduced with anti-rolling systems, to ensure safe navigation. If this effect is not eliminated, it may prevent the ship from keeping its course safely. In this study, fin stabilizer system the computational analysis of the roll motion formed by the turning motion and wave effect is included in fin stabilizer system. The rudder motion that allows the ship to have the desired maneuvering angle; calculations of the fin system, which decreases the excessive roll moment, and the roll motion caused by these two effects are examined using MATLAB software. The analysis period has been determined as 300 seconds, which is the time to reach the desired turning angle of the ship. Linear quadratic tracking (LQT) algorithm has been used to solve partially unknown continuous-time problems such as roll motion in this study.

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“…The area0-30deg refers to the area of "a" under the GZ curve between 0 and 30 of the heeling angle, the Area30-40deg is the area of "b" between 30 and 40 (or flooding angle, whichever is less) and the Area0-40deg means the area of "a+b" between 0 and 40 (or flooding angle, whichever is less)(Im & Choe, 2021). A typical 𝐺𝐺𝐺𝐺 − 𝜑𝜑 curve has a positive value within a certain range of heeling angles, and the heeling angle at which the value of the curve changes from positive to negative is known as the "stall angle"(Göksu & Bayramoğlu, 2021). When the heel angle exceeds this value, a swaying moment arm forms instead of a righting moment arm, resulting in a ship capsizing.…”