On the Rigid Plastic Solutions for Large Deformation Resistance of Stiffened Panels

Abstract

Rigid plastic methods are useful tools for predicting large deformation resistance of framed structures in ultimate and accidental limit states. Most existing rigid plastic solutions are for beam cross sections with two axes of symmetry, e. g. rectangular and circular cross sections. Application of rigid plastic methods to cross sections with one axis of symmetry remains limited and not fully understood. This paper focuses on stiffened panels that are crucial structural components in marine structures, and their cross sections have only one axis of symmetry. Rigid plastic solutions for large deformation resistance of one-bay stiffened panels are revisited. Different plastic interaction functions in the literature are reviewed and discussed, which shall lay a common ground for analyzing the problem. Explicit expressions for the interaction functions of stiffened panel cross sections are derived and presented in a compact form using the center of gravity (COG) as the reference axis for bending moment calculation. This paper further demonstrates that the solutions proposed by Yu et al. (2018) remain exact when the newly derived interaction functions are applied. In addition, for a stiffened panel comprising multiple bays, membrane actions from the plate flange perpendicular to the stiffener direction become important. Expressions for the corresponding membrane contributions from plate flanges in the transverse direction are also derived. The proposed analytical models are validated against nonlinear finite element simulations using a stiffened panel that is representative of a semisubmersible platform column in the North Sea, demonstrating generally good agreement. The proposed solutions can be useful for the analysis and design of stiffened panels subjected to extreme and abnormal loads such as collisions, explosions and ice actions.

Keywords

Stiffened panels / Plastic interaction functions / Large deformation resistance / Transverse membrane effects / Patch loading

References

[1] Amdahl J (2005) Static resistance of stiffened plates subjected to explosions. FABIG Newsletter 41

[2] Baker J, Heyman JPlastic design of frames 1 fundamentals, 1969CambridgeCambridge University Press

[3] Daley CG. Derivation of plastic framing requirements for polar ships. Marine Structures, 2002, 15(6): 543-559

[4] De Oliveria J. The behavior of steel offshore structures under accidental collisions. Offshore Technology Conference, 1981OTC OTC-4136

[5] DNV-RP-F111DNV-RP-F111 Interference between trawl gear and pipelines, 2010HøvikDet Norske Veritas

[6] Fimreite SB, Yu ZStatic and dynamic responses of elastoplastic beams with rectangular and asymmetric I-profiles subjected to lateral pressure loads, 2026

[7] Gauch HL, Montomoli F, Tagarielli VL. The response of an elastic-plastic clamped beam to transverse pressure loading. International Journal of Impact Engineering, 2018, 112: 30-40

[8] Jones NStructural impact, 20122nd EditionCambridgeCambridge University Press

[9] Nitta A. Plastic strength of hybrid steel beams subjected to bending and axial thrust. Journal of Zosen Kiokai, 1964, 116: 69-77

[10] Schubak RB, Olson MD, Anderson DL. Rigid-plastic modelling of blast-loaded stiffened plates—Part I: One-way stiffened plates. International Journal of Mechanical Sciences, 1993, 35(3–4): 289-306

[11] Søreide THUltimate load analysis of marine structures, 1981TrondheimTapir Akademisk Forlag

[12] Stronge WJ, Yu TDynamic models for structural plasticity, 2012BerlinSpringer

[13] Suominen M, Kõrgesaar M, Taylor R, Bergström M. Probabilistic analysis of operational ice damage for polar class vessels using full-scale data. Structural Safety, 2024, 107: 102423

[14] Ueda Y, Rashed SMH. The idealized structural unit method and its application to deep girder structures. Computers & Structures, 1984, 18(2): 277-293

[15] USFOSS/2013/User’s Manual for USFOS (Version 86a), 2013

[16] Wierzbicki T, Suh MS. Indentation of tubes under combined loading. International Journal of Mechanical Sciences, 1988, 30(3–4): 229-248

[17] Yang P, Peng Y. Dynamic response of blast-loaded stiffened plates by rigid-plastic analysis. International Conference on Offshore Mechanics and Arctic Engineering, 2010ShanghaiASME991-999

[18] Yu Z, Amdahl J, Greco M, Xu H. Hydro-plastic response of beams and stiffened panels subjected to extreme water slamming at small impact angles, Part I: An analytical solution. Marine Structures, 2019, 65: 53-74

[19] Yu Z, Amdahl J, Sha Y. Large inelastic deformation resistance of stiffened panels subjected to lateral loading. Marine Structures, 2018, 59: 342-367

[20] Yuan Y, Zhu L, Bai X, Yu TX, Li Y, Tan PJ. Pressure-impulse diagrams for elastoplastic beams subjected to pulse-pressure loading. International Journal of Solids and Structures, 2019, 160: 148-157

[21] Zhang D, Xu Z, Tetsuo Okada T, Kawamura Y, Hayakawa G, Ishibashi K, Koyama H. A study on the scantling formulae of a stiffener against lateral pressure under the simultaneous action of axial load. Marine Structures, 2024, 95: 103595

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Harbin Engineering University and Springer-Verlag GmbH Germany, part of Springer Nature