# Dynamic analysis of multibodies system with a floating base for rolling of ro-ro ship caused by wave and slip of heavy load

• Shen Qing
• Li Yue
• Chen Xu-jun
Article

## Abstract

Common effect of wave and slip of internal heavy load will make rolling of the roll-on ship serious. This is one of the important reasons for overturn of ro-ro ships. The multibodies System with a floating base is composed of ro-ro ship and slipping heavy load. This paper takes the rolling angle of the ship and the transverse displacement of the heavy load on desk as two freedoms. Making use of analysis of apparent gravitation and apparent buoyancy, the wave rolling moment is derived. By use of dynamic method of multibodies system with a floating base, dynamic equations of the system are established. Taking a certain channel ferry as an example, a set of numerical calculation have been carried out for rolling response of the ship and displacement response of the slipping heavy load under common effect of synchro-slipping heavy loads and wave.

## Key words

ro-ro ship floating base multibodies system dynamics

U661.1

## References

1. [1]
KRAL R, KREUZER E, WILMERS C. Nonlinear oscillations of a crane ship[A]. Proceedings of the 3rd international conference on industrial and applied mathematics[C]. Berlin: Akademie Verlag, 1995.Google Scholar
2. [2]
SCHELLIN T E, JIANG T, OSTERGAARD C. Response analysis and operating limits of crane ships[J]. Journal of Ship Research, 1993,37:225–238.Google Scholar
3. [3]
ELLERMANN K, KREUZER E, MARKIEWICZ M. Nonlinear dynamics of floating cranes[A]. Nonlinear Dynamics, 2002,27:107–183.
4. [4]
LIU Ying-zhong, MIAO Guo-ping. Motion theory of ship in waves [M]. Shanghai: Publishing house of Shanghai JiaoTong University, 1987 (in Chinese).Google Scholar
5. [5]
HUSTON R L. Multibody dynamics -modeling and analysis methods[J]. Applied Mechanics Review, 1991,44(3): 109–117.
6. [6]
JIANG Wei-qing. Principle of Ship[M]. Beijing: People’s Communication House, 1992 (in Chinese).Google Scholar
7. [7]
WU Xiu-heng, ZHANG Le-wen, WANG Ren-kang. Maneuverability and seakeeping ability of ship [M]. Beijing: People’s Communication Publishing House, 1998(in Chinese).Google Scholar
8. [8]
SHEN Qing, CHEN Xu-jun, LI Yao,etc. Time domain analysis method of floating aase multi-bodies system self-excited motion response[J]. Ocean Engineering, 2002, 20(5): 7–13 (in Chinese).Google Scholar
9. [9]
LIN Ming-jin. Overall design of strait vehicle/passenger ferrying ship—zijin No. 1 [J]. Wuhan Ship Building, 1998(1): 1–5(in Chinese).Google Scholar
10. [10]
PENG Ying-sheng. Fundamental for ship seakeeping Ability[M]. Beijing: National Defence Industry Publishing House, 1989(in Chinese).Google Scholar

## Authors and Affiliations

• Shen Qing
• 1
• Li Yue
• 1
• Chen Xu-jun
• 1
1. 1.The Engineering Institute of Engineer CorpsPLA University of Science and TechnologyNanjingChina