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Development of design factor predicting the ultimate strength for wide spacing in container curved bilge structures

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Abstract

The aim of the present study is to develop a curvature factor to estimate the ultimate strength and the progressive collapse behaviour of a stiffened curved plate under combined in-plane compression and lateral pressure. Stiffened curved plates are used in various parts of ship and offshore structures, such as bilge structures, columns and the inside structures of offshore semisubmersible rigs. The curvature of a cylindrically curved plate is found to increase the buckling strength and ultimate strength compared with a plate without curvature. Based on the numerical results of a series of nonlinear finite element calculations for all edges with symmetric curved plating with varying parameters such as slenderness ratio, stiffener size, flank angle and amplitude of lateral pressure, an empirical design factor is derived to predict the curvature influence for a fundamental scantling design by rule guidance. The outcomes can be widely referred to in basic designs to decide the required bilge thickness during local scantling.

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References

  1. Tran K, Davaine L, Douthe C, Sab K (2012) Stability of curved panels under uniform axial compression. J Constr Steel Res 69(1):30–38

    Article  Google Scholar 

  2. Maeno Y, Yamaguchi H, Fujii Y, Yao T (2004) Buckling/plastic collapse behaviour and strength of bilge circle and its contribution to ultimate longitudinal strength of ship’s hull girder. In: Proceedings of the International Offshore and Polar Engineering Conference. Toulon, France (23–28 May 2004)

  3. Park JS, Fujikubo M, Iijima K, Yao T (2009) Prediction of the secondary buckling strength and ultimate strength of cylindrically curved plate under axial compression. In: Proceedings of the 19th International Offshore and Polar Engineering Conference. The International Society of Offshore and Polar Engineers (ISOPE), Osaka, Japan, pp 740–747

    Google Scholar 

  4. Park JS, Iijima K, Yao T (2007) Estimation of buckling and ultimate strength for curved plates with and without stiffeners under axial compressive load. TEAM 2007. Yokohama, Japan (10–13 September 2007)

  5. Park JS, Iijima K, Yao T (2008) Characteristics of buckling and ultimate strength and collapse behaviour of cylindrically curved plates subjected to axial compression. Appl Mech Mater 33:1195–1200

    Google Scholar 

  6. Kim JH, Park JS, Lee KH, Kim JH, Kim MH, Lee JM (2014) Computational analysis and design formula development for the design of curved plates for ships and offshore structures. Struct Eng Mech 49(6):705–726

    Article  Google Scholar 

  7. Tran KL, Douthe C, Sab K, Dallot J, Davaine L (2014) Buckling of stiffened curved panels under uniform axial compression. J Constr Steel Res 103:140–147

    Article  Google Scholar 

  8. Tran KL, Douthe C, Sab K, Dallot J, Davaine L (2014) A preliminary design formula for the strength of stiffened curved panels by design of experiment method. Thin Walled Struct 79:129–137

    Article  Google Scholar 

  9. Domb MM, Leigh BR (2001) Refined design curves for compressive buckling of curved panels using nonlinear finite element analysis. In: 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, pp 449–457

  10. Cho SR, Park HZ, Kim HS, Seo JS (2007) Experimental and numerical investigations on the ultimate strength of curved stiffened plates. In: Proceedings of the 10th International Symposium on Practical Design of Ships and other Floating Structures. Houston, pp 453–460

  11. Seo JK, Song CH, Park JS, Paik JK (2016) Nonlinear structural behaviour and design formulae for calculating the ultimate strength of stiffened curved plates under axial compression. Thin Walled Struct 107:1–17

    Article  Google Scholar 

  12. ANSYS11.0 User's Manual (2015) Introduction to Material Nonlinearities. ANSYS Inc., USA

    Google Scholar 

  13. Paik JK, Thayamballi AK (2003) Ultimate limit state design of steel-plated structures. Wiley, Chichester

    Google Scholar 

  14. Paik JK, Thayamballi AK (2007) Ship-shaped offshore installations: design, building, and operation. Cambridge University Press, Cambridge

    Book  Google Scholar 

  15. DNV (2002) Buckling strength of shells. Recommended practice (DNV-RP-C202,October). DNV, Olso, Norway

    Google Scholar 

  16. Smith CS, Davidson PC, Chapman JC, Dowling PJ (1988) Strength and stiffness of ships’ plating under in-plane compression and tension. RINA Trans 130:227–296

    Google Scholar 

  17. DNV (2005) Nauticus Hull user manual (PULS). DNV, Olso. Norway

    Google Scholar 

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Acknowledgements

This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and Future Planning (NRF-2017R1A2B4004891).

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Correspondence to Jung Kwan Seo.

Appendix

Appendix

See Table 6.

Table 6 Geometric properties of all stiffened panels varying cross section of stiffener

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Park, J.S., Seo, J.K. Development of design factor predicting the ultimate strength for wide spacing in container curved bilge structures. J Mar Sci Technol 24, 526–542 (2019). https://doi.org/10.1007/s00773-018-0572-0

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  • DOI: https://doi.org/10.1007/s00773-018-0572-0

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