2016
DOI: 10.1007/s10665-016-9878-2
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A nonlinear mathematical model for coupled heave, pitch, and roll motions of a high-speed planing hull

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Cited by 32 publications
(9 citation statements)
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“…Further extensions of 2D+ T theory for different purposes have been seen and highly accelerated in the past decade in comparison with 1990s and 2000s. Furthermore, Ghadimi and colleagues, [13][14][15] Tavakoli and colleagues, [16][17][18][19] developed several mathematical models for motions in waves, roll motion, asymmetric and yawed condition motions. From these research works, it can be inferred that if 2D+ T theory is developed for performance prediction of a double-stepped planing boat.…”
Section: Motivationmentioning
confidence: 99%
“…Further extensions of 2D+ T theory for different purposes have been seen and highly accelerated in the past decade in comparison with 1990s and 2000s. Furthermore, Ghadimi and colleagues, [13][14][15] Tavakoli and colleagues, [16][17][18][19] developed several mathematical models for motions in waves, roll motion, asymmetric and yawed condition motions. From these research works, it can be inferred that if 2D+ T theory is developed for performance prediction of a double-stepped planing boat.…”
Section: Motivationmentioning
confidence: 99%
“…If the forces and moments are determined, they can be used to find the hydrodynamic coefficient of the vessel in horizontal plane, providing us with necessary data for determining the detection of stability of the vessel. Different methods such as analytical, [38][39][40][41] semi-empirical [42][43][44] and experimental approaches [45][46][47] can be used for finding these forces and moments. However, in this article, a numerical method is used.…”
Section: Description Of the Problemmentioning
confidence: 99%
“…One of the achievements in providing relationships for discrete motions is to make it possible to obtain relationships for the coupled motions. So far, some relationships have been provided by researchers to consider coupled heave and pitch motions (Ghadimi, Tavakoli, Dashtimanesh et al, 2016b) as well as coupled heave, pitch, and roll motions (Tavakoli et al, 2017). However, these investigations may be conducted in calm water or in the presence of waves, depending on the purpose of the researcher.…”
Section: Introductionmentioning
confidence: 99%