Skip to main content
Log in

Reliability analysis of ship structure system with multi-defects

  • Research Paper
  • Published:
Science China Physics, Mechanics and Astronomy Aims and scope Submit manuscript

Abstract

This paper analyzes the influence of multi-defects including the initial distortions, welding residual stresses, cracks and local dents on the ultimate strength of the plate element, and has worked out expressions of reliability calculation and sensitivity analysis of the plate element. Reliability analysis is made for the system with multi-defects plate elements. Failure mechanism, failure paths and the calculating approach to global reliability index are also worked out. After plate elements with multi-defects fail, the formula of reverse node forces which affect the residual structure is deduced, so are the sensitivity expressions of the system reliability index. This ensures calculating accuracy and rationality for reliability analysis, and makes it convenient to find weakness plate elements which affect the reliability of the structure system. Finally, for the validity of the approach proposed, we take the numerical example of a ship cabin to compare and contrast the reliability and the sensitivity analysis of the structure system with multi-defects with those of the structure system with no defects. The approach has implications for the structure design, rational maintenance and renewing strategy.

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. Paik J K, Thayamballi A K. Empirical formulation for predicting the ultimate compressive strength of stiffened panels. In: Proceedings of the seventh International Offshore and Polar Engineering Conference. Golden Co. Int Soc of Offshore and Polar Engineerns (ISOPE), 1997. 328–338

  2. Paik J K, Thayamballi A K, Park Y I. Local buckling of stiffeners in ship plating. J Ship Res, 1998, 42:56–67

    Google Scholar 

  3. Paik J K, Thayamballi A K, Lee W H. A numerical investigation of tripping. Mar Struct, 1998, 11:l59–183

    Article  Google Scholar 

  4. Paik J K, Thayamballi A K, Kim D H. An analytical method for the ultimate compressive plating of stiffened panels. J Construct Steel Res, 1999, 49:43–68

    Article  Google Scholar 

  5. Paik J K, Thayamballi A K, Wang G, et al. On Advanced Buckling and Ultimate Strength Design of Ship Plating. Trans SNAME, 2000. 108–141

  6. Paik J K, Thayamballi A K. Buckling strength of steel plating with elastically restrained edges. Thin-Walled Struct, 2000, 137:27–57

    Article  Google Scholar 

  7. Paik J K, Thayamballi A K, Kim B J. Advanced ultimate strength formulations for ship plating under combined biaxial compression/tension, edge shear and lateral pressure loads. Mar Technol, 2001, 138:9–25

    Google Scholar 

  8. Zhang S X, Yu Y Y. Ultimate strength of dented panel under axial compression (in Chinese). J Wuhan Univ Technol, 2004, 28: 315–333

    Google Scholar 

  9. Smith C S, Davidson P C, Chapman J C, et al. Strength and stiffness of ship’s plating under in-plane compression and tension. Trans RINA, 1988:130

  10. Cui W C, Mansour A E. Efects of welding distortions and residual stress the ultimate strength of long rectangular plates under uniaxial compression. Mar Struct, 1988, 11:251–269

    Article  Google Scholar 

  11. Hu Y, Cui W C. Residual ultimate strength of cracked panels and stiffened panels under combined loading (in Chinese). J Ship Mech, 2003, 7:63–78

    Google Scholar 

  12. Sun K L. Reliability Analysis of Ultimate Strength of Hull with Defective Plate. Dissertation for the Master Degree. Harbin: Harbin Engineering University, 2008. 53

    Google Scholar 

  13. Sun K L, An W G, Wang B S, et al. Reliability analysis of thin-walled structures for space shuttle (in Chinese). J Harbin Eng Univ, 2004, 25:327–331

    Google Scholar 

  14. An W G, Sun K L, Chen W D, et al. Optimum design based on reliability in stochastic structure systems. Appl Math Mech, 2005, 26:1293–1302

    Google Scholar 

  15. An W G, Sun K L, Wang B S. Research on key problem about system reliability analysis of beam & plate type structures (in Chinese). J Astronaut, 2003, 24:621–624

    Google Scholar 

  16. An W G, Cai Y L, Chen W D. Reliability analysis and optimum design for stochastic structure systems (in Chinese). Harbin: Harbin Engineering University Press, 2005. 183–190

    Google Scholar 

  17. An W G. Structural Reliability and Optimum Design Based on Reliability (in Chinese). Beijing: National Defence Industry Press, 1997. 153

    Google Scholar 

  18. ANG A H-S, Tang W H. Probability Concepts in Engineering Planning and Design. New York: John Wiley and Sons, 1984. 2:135–146

    Google Scholar 

  19. Zhao W T, An W G. Reliability analysis of static strength for stochastic space beam and plate structural system. Acta Armamentarii, 2007, 28:953–956

    Google Scholar 

  20. Yan X C, An W G, Chen W D. Reliability analysis for large ship structure. J Harbin Eng Univ, 2004, 25:147–150

    Google Scholar 

  21. Dong Cong. Reliability Theory and Application of Modern Structure System (in Chinese). Beijing: Science Press, 2001. 35–45

    Google Scholar 

  22. Hu Y C, Guo Z B. The Principle of Structure System Reliability Analysis and Application (in Chinese). Tianjing: Tianjin University Press, 1992. 1, 6–7, 76–155, 80–95

    Google Scholar 

  23. He S Q, Wang S. Structure reliability analysis and design (in Chinese). Beijing: National Defence Industry Press, 1993. 55–98

    Google Scholar 

  24. Huang X D. Reliability design of engineering structure (in Chinese). Beijing: China Communications Press, 1992. 112–136

    Google Scholar 

  25. Wu X G. An analysis of imperfect structural system reliability with initial geometric imperfection (in Chinese). Dissertation for the Master Degree. Harbin: Harbin Engineering University, 2004. 37–48

    Google Scholar 

  26. Hughes O F. Ship Structural Design (in Chinese). Zhang X X Translated. Guangzhou: South China University Technology Press, 1988. 1–6, 61–83, 360–368, 330–336, 369–382, 241, 279, 322

    Google Scholar 

  27. An W G, Hong G J, Cai Y L, et al. Reliability Optimum Design of Ship Structure Based on The Stochastic Finite Element Approach (in Chinese). Harbin: National Defense Scientific Report, 2002. 135–155, 215–243

    Google Scholar 

  28. Cai Y L, An W G, Chen W D. Reliability analysis and optimum design of marine structure (in Chinese). Harbin: Chinese ship Scientific Report, 1997. 86–95

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hai An.

Rights and permissions

Reprints and permissions

About this article

Cite this article

An, H., An, W. & Zhao, W. Reliability analysis of ship structure system with multi-defects. Sci. China Phys. Mech. Astron. 53, 2113–2124 (2010). https://doi.org/10.1007/s11433-010-4124-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11433-010-4124-9

Keywords

Navigation