Evaluation of the Residual Capacity of a Submarine for Different Limit States with Various Initial Imperfection Models
Tatiana Pais , Marco Gaiotti , Beatrice Barsotti
Journal of Marine Science and Application ›› 2022, Vol. 21 ›› Issue (2) : 59 -68.
The current design philosophy for submarine hulls, in the preliminary design stage, generally considers as governing limit states material yielding along with various buckling modes. It is common belief that, beyond the design pressure, material yielding of the shell plating should occur first, eventually followed by local buckling, while global buckling currently retains the highest safety factor. On the other hand, in the aeronautical field, in some cases structural components are designed in such a way that local instability may occur within the design loads, being the phenomena inside the material elastic range and not leading to a significant drop in term of stiffness. This paper is aimed at investigating the structural response beyond a set of selected limit states, using nonlinear FE method adopting different initial imperfection models, to provide the designers with new information useful for calibrating safety factors. It was found that both local and global buckling can be considered as ultimate limit states, with a significant sensitivity towards initial imperfection, while material yielding and tripping buckling of frames show a residual structural capacity. In conclusion, it was found that the occurrence of local buckling leads to similar sudden catastrophic consequences as global buckling, with the ultimate strength capacity highly affected by the initial imperfection shape and amplitude.
Buckling / Submarine hull / Limit state design / Structural response / Imperfection model / Residual capacity / Ultimate strength
| [1] |
American Bureau of Shipping Rules for building and classing, Underwater vehicles, systems and hyperbaric facilities, 2021, TX, USA: Spring |
| [2] |
Bureau Veritas (2016) Rules for the Classification of Naval Submarines, n. NR 535 DT R00 E, Paris, France |
| [3] |
|
| [4] |
DNV-GL (2018) Rules for classification Naval vessels, Edition January 2018, Part 4 Sub-surface ships, Chapter 1 Submarines, Høvik, Norway |
| [5] |
DNV (2009) IACS HPT02: non-linear finite element collapse analyses of stiffened panels procedure description (technical report) |
| [6] |
|
| [7] |
ISSC 2012 Committee V. 5 (Naval Vessels), chapter 3 |
| [8] |
Komoriyama Y, Tanaka Y, Ando T, Hashizume Y, Tatsumi A, Fujikubo M (2018) Effects of cumulative buckling deformation formed by cyclic loading on ultimate strength of stiffened panel, Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering — OMAE 2018, Madrid, 17–22 June, https://doi.org/10.1115/OMAE2018-77855 |
| [9] |
Li C, Liu R (2020) Numerical investigation into the effects of different initial imperfections on the lateral buckling of submarine pipelines, Ocean Engineering, 195, art. n°106752, https://doi.org/10.1016/j.oceaneng.2019.106752 |
| [10] |
|
| [11] |
|
| [12] |
PD5500 (2021): Specification for unfired pressure vessels. |
| [13] |
Pulos JG, Salerno VL (1961) Axisymmetric elastic deformations and stresses in a ring-stiffened, perfectly circular cylinrical shell under external hydrostatic pressure, David Taylor Model Basin Report, Sept. 1961 |
| [14] |
|
| [15] |
Report of Committee V.5: Naval Vessels Proceedings of the 18th International Ship and offshore Structures Congress, 2012, Hamburg: Schiahrts-Verlag “Hansa” GmbH & Co. KG, Volume 2 |
| [16] |
Ringsberg JW, Darie I, Nahshon K, Shilling G, Vaz MA, Benson S, Brubak L, Feng G, Fujikubo M, Gaiotti M, Hu Z, Jang BS (2021) The ISSC 2022 committee III. 1-Ultimate strength benchmark study on the ultimate limit state analysis of a stiffened plate structure subjected to uniaxial compressive loads, Marine Structures, 79: n°103026. https://doi.org/10.1016/j.marstruc.2021.103026 |
| [17] |
Sadovskýa Z, Kriváčekb J, Sokola M (2021) Imperfection sensitivity of axially compressed cylindrical shells under varying dimensions, Engineering Structures, 247:n° 113133, https://doi.org/10.1016/j.engstruct.2021.113133 |
| [18] |
Shiomitsua D, Yanagiharab D (2020) Elastic local shell and stiffener-tripping buckling strength of ring-stiffened cylindrical shells under external pressure, Thin-Walled Structures, 148: n° 106622, https://doi.org/10.1016/j.tws.2020.106622 |
| [19] |
|
| [20] |
Showkati H, Yousefieh A, Pourmirza M (2008) The effect of initial circumferential imperfections on the buckling and post-buckling behavior of cylindrical shells, EASEC11-Eleventh East Asia-Pacific Conference on Structural Engineering and Construction, Taipei, Taiwan, 19–21. |
| [21] |
|
| [22] |
The Riks method is available at: https://abaqus-docs.mit.edu/2017/English/SIMACAEANLRefMap/simaanl-c-postbuckling.htm#simaanl-c-postbuckling-t-TheRiksMethod-sma-topic2 [Accessed on June 8, 2022] |
| [23] |
|
| [24] |
|
| [25] |
Wang Z, Duan N, Soares CG (2021) Controlled lateral buckling of subsea pipelines triggered by imposed residual initial imperfections, Ocean Engineering, 233, art. n°109124, https://doi.org/10.1016/j.oceaneng.2021.109124 |
/
| 〈 |
|
〉 |