Publisher DOI: 10.1007/s00773-020-00770-1
Title: Theoretical estimation of roll acceleration in beam seas using PDF line integral method
Language: English
Authors: Maki, Atsuo 
Dostal, Leo 
Maruyama, Yuuki 
Sakai, Masahiro 
Sugimoto, Kei 
Fukumoto, Yusuke 
Umeda, Naoya 
Keywords: Excessive acceleration;Irregular beam Seas;PDF line integral method;Roll angular acceleration
Issue Date: Sep-2021
Source: Journal of Marine Science and Technology 26 (3): 828-834 (2021-11)
Journal: Journal of marine science and technology 
Abstract (english): 
The prevention of excessive roll acceleration is one of the fundamental requirements of an oceangoing vessel at sea. In this paper, aiming at this requirement, we propose a new theoretical method for calculating roll angular acceleration, called “PDF line integral method.”. This paper presents the derivation of this method and a numerical comparison with Monte Carlo simulation (MCS) results; also, its validity is shown. Although the utilized GZ curve (restoring curve) exhibits strong asymmetricity, the proposed method can provide for such a condition. With only the information of roll and roll rate joint probability density function (PDF), this method can approximately calculate the roll angular acceleration, which is a high-order differential property. In addition, a relatively good agreement is achieved between the theory and MCS results.
ISSN: 0948-4280
Institute: Mechanik und Meerestechnik M-13 
Document Type: Article
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