Skip to main content
Log in

Synchronous effect of slipping heavy loads on ro-ro ship rolling in waves

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

Common effect of wave and slip of internal vehicles will make rolling of the roll-on ship serious. This is one of the important reasons for overturn of ro-ro ships. The multibody system with a floating base is composed of ro-ro ship and slipping vehicles. Takes the rolling angle of the ship and the transverse displacements of the slipping vehicles on desk as freedoms. Making use of the analysis of apparent gravitation and apparent buoyancy, the wave rolling moment is derived. By means of dynamic method of multibody system, 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 multibody system with a floating base of a ro-ro ship and displacements response of the slipping vehicles under common effect of free slipping vehicles and wave, and a conclusion has been drawn that the motion of the numerous free slipping heavy loads will trend to be synchronous under restraining of the side-wall bulkhead with time because of repeated collision.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Kral R, Kreuzer E, Wilmers C. Nonlinear oscillations of a crane ship[C]. In: Kreuzer E, Mahrenholtz O (eds). Proceedings of the 3rd International Conference on Industrial and Applied Mathematics, 1995, Suppl. 4, Akademie Verlag, Berlin, 1996, 5–8.

    Google Scholar 

  2. Schellin T E, Jiang T, Ostergaard C. Response analysis and operating limits of crane ships[J]. Journal of Ship Research, 1993, 37(3):225–238.

    Google Scholar 

  3. Ellermann K, Kreuzer E, Markiewicz M. Nonlinear dynamics of floating cranes[J]. Nonlinear Dynamics, 2002, 27(2):107–183.

    Article  MATH  Google Scholar 

  4. Zhou Guangjiong, Yan Zongyi, Xu Shixiong, Zhang Keben. Fluid Mechanics (II)[M]. Higher Education Publishing House, Beijing, 1993, 8–13 (in Chinese).

    Google Scholar 

  5. Liu Yingzhong, Miao Guoping. Motion Theory of Ship in Waves[M]. Shanghai Jiaotong University Press, Shanghai, 1987, 133–150 (in Chinese).

    Google Scholar 

  6. Zhu Jun. Ship Statics[M]. National Defence Science and Technology University Press, Changsha, 2002, 31–41; 75–87 (in Chinese).

    Google Scholar 

  7. Peng Yingsheng. Fundamental for Ship Seakeeping Ability[M]. National Defence Industry Press, Beijing, 1989, 28–42; 62–73 (in Chinese).

    Google Scholar 

  8. Houston R L, Liu Youwu. Multibodies System Dynamics[M]. Tianjin University Press, Tianjin, 1987, I:37–138;II:51–64 (in Chinese).

    Google Scholar 

  9. Lin Mingjin. Overall design of strait vehicle/passenger ferrying ship—Zijin No.1[J]. Wuhan Ship Building, 1998, (1):1–5 (in Chinese).

    Google Scholar 

  10. Sheng Zhaohan, Ma Junhai. Analysis Introduction of Nonlinear Dynamic System[M]. Science Press, Beijing, 2001, 1–7 (in Chinese).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhang Yin-long Doctor  (张银龙).

Additional information

Communicated by LU Chuan-jing

Project supported by the National Natural Science Foundation of China (No.50309018)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, Yl., Shen, Q. & Chen, Xj. Synchronous effect of slipping heavy loads on ro-ro ship rolling in waves. Appl Math Mech 27, 959–966 (2006). https://doi.org/10.1007/s10483-006-0712-y

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-006-0712-y

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

Navigation