Weakly nonlinear ship motion calculation and parametric rolling simulation based on the 3DTGF-HOBEM method

ABSTRACT

Time domain ship motion based on 3 dimension Transient Green’s Function method (3DTGF) is established, where the impulse response theory is employed and the memory effect part of hydrodynamic forces is solved by 3DTGF incorporated with high-order boundary element (HOBEM) discretization. The motions of Wigley III, S175 and 505SB with speed in waves are calculated and validated, the numerical results of ship motions are in good agreement with experiment data. In the weakly nonlinear motion model, Froude-Krylov (F-K) forces and restoring forces are obtained by integrating on instantaneous wet surface and nonlinear viscous roll damping is taken into consideration. A container ship’s motions with parametric rolling occurring are simulated and analyzed by this weak non-linear method. The parametric rolling of the container ship is investigated and the effect of 3 factors in regular waves are discussed. The threshold boundaries for parametric rolling are obtained.

KEYWORDS:

• Time-domain motions
• HOBEM
• transient Green’s function method
• parametric rolling
• weakly nonlinear

Disclosure statement

We declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work, there is no professional or other personal interest of any nature or kind in any product, service and/or company that could be construed as influencing the position presented in, or the review of, the manuscript entitled, “Weakly nonlinear ship motion calculation and parametric rolling simulation based on 3DTGF-HOBEM method”.

Notes on contributors

Wen-Zhou is a PhD student in Shanghai Jiao Tong University.

Ren-chuan Zhu is a Professor in Shanghai Jiao Tong University.

Xi Chen is PhD in Marine Design & Research Institute of China.

Liang Hong is PhD in Marine Design & Research Institute of China.

Additional information

Funding

This work is supported by National Natural Science Foundation of China (NSFC) [grant number 51479117, 51579147].