Skip to main content
SpringerLink
Log in

Optimization parameter of transformation of parallel translation for ship pitch simulation

  • Published:
Journal of Marine Science and Application Aims and scope Submit manuscript

Abstract

The transformation of parallel translation can improve the smoothness of discrete series sometimes. In this paper, for ship pitch, a method to modify the system error is proposed via the transformation of parallel translation, which can give the optimize parameters using the Method of Minimum Squares. The series in the method can fit white exponential law better, and then be applied in GM(1,1) very well. The numerical experiments imply that the method is practical, which make the ship pitch system model more accurate than GM(1,1).

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. SHEN JIIHONG, WANG ZONGYUAN, ZHAO XIREN. The prediction of ship pitch using grey system theory[J]. Advances in System Science and Application,2001(1):185–189.

  2. SHEN JIHONG, SHANG SHOUTIGN, ZHAO XIREN. Functional tranformation GM(1,1) model constructed for ship pitching[J]. Journal of Harbin Institute of Technology,2001(3):291–294.

  3. SHEN JIHONG. GM(1,1) for modeling oscillation series via triangle transformation[J]. The Journal of Grey System,2002(1):5–8.

  4. PENG FANG, HANG SHIQIN. The error analysis of GM (1,1)[A]. New Advances in Grey System Theory[C]. Wuhan: Huazhong University of Science and Technology Press, 1996(mainly in Chinese).

    Google Scholar 

  5. KOU JINZHONG. Transformation of Series and the accuracy of GM(1,1)[A]. New Advances in Grey System Theory[C]. Wuhan:Huazhong University of Science and Technology Press, 1996(mainly in Chinese).

    Google Scholar 

  6. FU LI. Grey system theory and its application[M]. Beijing:Science and Technology Reference Press, 1993 (in Chinese).

    Google Scholar 

  7. DENG J L. The essential methods of grey system[M]. Wuhan: Huazhong University of Science and Technology Press, 1987(in Chinese).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Science, Harbin Engineering University, 150001, Harbin, China

    Shen Ji-hong

Authors
  1. Shen Ji-hong
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shen, Jh. Optimization parameter of transformation of parallel translation for ship pitch simulation. JMSA 1, 33–36 (2002). https://doi.org/10.1007/BF02935836

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02935836

Key words

CLC number

Document code

Search

Navigation