# Istrazivanja i projektovanja za privreduJournal of Applied Engineering Science

ROLL DYNAMIC COEFFICIENTS APPROACH OF DECAY TEST USing THE GENERALIZED REDUCED GRADIENT METHOD (GRG)

DOI: 10.5937/jaes0-40421
This is an open access article distributed under the CC BY 4.0

Volume 21 article 1091 pages: 470-480

Hasanudin
PhD Student of Naval Architecture, Faculty of Marine Technology, Institut Teknologi Sepuluh Nopember (ITS), Keputih, Sukolilo, Surabaya City, East Java, Indonesia

Department of Naval Architecture, Faculty of Marine Technology, Institut Teknologi Sepuluh Nopember (ITS), Keputih, Sukolilo, Surabaya City, East Java, Indonesia

Wasis Dwi Aryawa
Department of Naval Architecture, Faculty of Marine Technology, Institut Teknologi Sepuluh Nopember (ITS), Keputih, Sukolilo, Surabaya City, East Java, Indonesia

Sea transportation is the vehicle which dominant and vital in the world. The increasing number of ships, types, and uncertain climate change have caused many ship accidents that have caused loss of life and property. The International Maritime Organization (IMO) issued the latest regulation on the second generation of ship stability criteria based on the dynamic of ship roll motions. The survival of dynamic stability depends on the hydrodynamic coefficients, which numerical and experimental calculations can obtain. The problem is finding the hydrodynamic coefficients of the ship roll quickly and accurately from the experimental roll decay data. This paper uses the Generalized Reduced Gradient (GRG) optimization to find the roll motion coefficient with the objective function of a standard deviation. The results show that the roll decay experiment graph is close optimization for variations of the minimum standard deviation used: all data, maximum-minimum amplitude, maximum amplitude, and minimum amplitude. The most similar chart to the experiment is optimization using a standard deviation of maximum-minimum amplitude with the optimal objective function σ = 1.006776 closest σ=1; obtained variable x_1=k_44=0.1087688 m; x_2=B_44=3.00306E-05 m-ton-sec. Based on sensitivity tests for various scenarios, optimization with a standard deviation of maximum amplitude has a high sensitivity, so it is necessary to avoid or be careful in its use. Generally, the GRG optimization method has the advantage of finding the hydrodynamic roll coefficient quickly and accurately.

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We acknowledge the Directorate of Research and Community Service-ITS, which has provided financial support. Furthermore, Alaik Nur Wahyudi-Indonesia's National Transportation Safety Committee (NTSC) helped provide data on the RoPax ship. Furthermore, the Flume Tank Laboratory of the Ocean Engineering Department-ITS conducted ship model experiments.

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