PDF
Abstract
The ultimate strength of platings under compression is one of the most important factors to be addressed in the ship design. Current Rules for ship structural design generally provide explicit strength check criteria against buckling for simply supported and clamped platings. Nevertheless, ship platings generally exhibit an intermediate behaviour between the simple support and the clamped conditions, which implies that the torsional stiffness of supporting members should be duly considered. Hence, the main aim of this study is the development of new design formulas for the ultimate strength of platings under uniaxial compression, with short and/or long edges elastically restrained against torsion. In this respect, two benchmark studies are performed. The former is devoted to the development of new equations for the elastic buckling coefficients of platings with edges elastically restrained against torsion, based on the results of the eigenvalue buckling analysis, performed by Ansys Mechanical APDL. The latter investigates the ultimate strength of platings with elastically restrained edges, by systematically varying the plate slenderness ratio and the torsional stiffness of supporting members. Finally, the effectiveness of the new formulation is checked against a wide number of finite element (FE) simulations, to cover the entire design space of ship platings.
Keywords
Platings under compression
/
Edges elastically restrained against torsion
/
Torsional stiffness
/
Supporting members
/
Eigenvalue buckling analysis
/
Nonlinear ultimate strength analysis
/
FE simulations
Cite this article
Download citation ▾
V. Piscopo.
Ultimate Strength of Platings Under Uniaxial Compression with Edges Elastically Restrained Against Torsion: A New Comprehensive Approach.
Journal of Marine Science and Application, 2024, 23(2): 443-459 DOI:10.1007/s11804-024-00426-1
| [1] |
Allen HG, Bulson PS. Background to buckling, 1980, New York: McGraw-Hill
|
| [2] |
Book Company, US Ansys (2022) ANSYS User Guide
|
| [3] |
Bridget FJ, Gerome CC, Vosseller AB. Some new experiments on buckling of thin-wall construction. Transactions of the American Society of Mechanical Engineers, 1934, 56(6): 569-578
|
| [4] |
Bryan GH. On the stability of a plane plate under thrusts in its own plane, with applications to the “buckling” of the sides of a ship. Proceedings of the London Mathematical Society, 1890, 22(1): 54-67
|
| [5] |
Caldwell JB. Ultimate longitudinal strength. Transactions of the Royal Institution of Naval Architects, 1965, 107: 411-430
|
| [6] |
Conley WF, Becker LA, Allnutt RB (1963) Buckling and ultimate strength of plating loaded in edge compression. Progress Report 2-Unstiffened panels. David Taylor Model Basin Report 1682
|
| [7] |
Cui W, Wang Y, Pedersen PT. Strength of ship plates under combined loading. Marine Structures, 2002, 15: 75-97
|
| [8] |
DIN DIN 18800-3 “Steel Structures-Part 3: Stability-Safety against buckling of plates”, 1990, Berlin, Germany: Deutsches Institut fur Normung E.V.
|
| [9] |
DnV Recommended Practice RP-C201 “Buckling strength of plated structures”, 2023, Oslo, Norway: Det Norske Veritas
|
| [10] |
ECS ENV 1993-1-5 “Eurocode 3: Design of steel structures-Part 1–5: General rules-Supplementary rules for planar plated structures without transverse loading”, 2019, Brussels, Belgium: The European Committee for Standardization
|
| [11] |
Evans JH. Strength of wide plates under uniform edge compression. The Society of Naval Architects and Marine Engineers Transactions, 1960, 68: 585-621
|
| [12] |
Faulkner D. A review of effective plating for the analysis of stiffened plating in bending and compression. Journal of Ship Research, 1975, 19(1): 1-17
|
| [13] |
Feng L, Hu L, Chen X, Shi H. A parametric study on effects of pitting corrosion on stiffened panels’ ultimate strength. International Journal of Naval Architecture and Ocean Engineering, 2020, 12: 699-710
|
| [14] |
Frankland JM (1940) The strength of ship plating under edge compression. Technical report, United States Experimental Model Basin, Washington, DC, Report n.469
|
| [15] |
Fujikubo M, Yao T. Elastic local buckling strength of stiffened plate considering plate/stiffener interaction and welding residual stress. Marine Structures, 1999, 12: 543-564 99)00032-5
|
| [16] |
Guedes Soares C, Kmiecik M. Simulation of the ultimate compressive strength of unstiffened rectangular plates. Marine Structures, 1993, 6(5–6): 553-569 93)90037-4
|
| [17] |
Guedes Soares C, Gordo JM. Collapse strength of rectangular plates under transverse compression. Journal of Constructional Steel Research, 1996, 36(3): 215-234 95)00018-Q
|
| [18] |
Guedes Soares C, Gordo JM. Compressive strength of rectangular plates under biaxial load and lateral pressure. Thin-Walled Structures, 1996, 24(3): 231-259 95)00030–5
|
| [19] |
IACS Common Structural Rules for Bulk Carriers, 2006, London, UK: The International Association of Classification Societies
|
| [20] |
IACS Common Structural Rules for Oil Tankers, 2006, London, UK: The International Association of Classification Societies
|
| [21] |
IACS Common Structural Rules for Bulk Carriers and Oil Tankers, 2022, London, UK: The International Association of Classification Societies
|
| [22] |
IACS New Unified Requirement On Buckling Strength Assessment of Ship Structural Elements (UR S35), 2023, London, UK: The International Association of Classification Societies
|
| [23] |
Khan I, Zhang S. Effects of welding-induced residual stress on ultimate strength of plates and stiffened panels. Ships and Offshore Structures, 2011, 6(4): 297-309
|
| [24] |
Lundquist EE, Stowell EZ (1942) Critical Compressive Stress for Flat Rectangular Plates Supported Along All Edges and Elastically Restrained Against Rotation along the Unloaded Edges. NACA Technical Report n. 733
|
| [25] |
Masaoka K, Mansour A. Ultimate compressive strength of imperfect unstiffened plates: simple design equations. Journal of Ship Research, 2004, 48(3): 191-201
|
| [26] |
McKenzie KI. The Buckling of a Rectangular Plate under Combined Biaxial Compression, Bending and Shear. Aeronautical Quarterly, 1964, 15(3): 239-246
|
| [27] |
Paik JK, Thayamballi AK. Buckling strength of steel plating with elastically restrained edges. Thin-Walled Structures, 2000, 37: 27-55 00)00009–4
|
| [28] |
Paik JK, Thayamballi AK, Lee JM. Effect of initial deflection shape on the ultimate strength behavior of welded steel plates under biaxial compressive loads. Journal of Ship Research, 2004, 48(1): 45-60
|
| [29] |
Piscopo V. Buckling of uniaxially compressed plates with all edges elastically restrained against torsion. International Journal of Advanced Computer Science, 2012, 2(6): 242-249
|
| [30] |
Piscopo V, Scamardella A. Towards a unified formulation for the ultimate strength assessment of uncorroded and pitted platings under uniaxial compression. Ocean Engineering, 2018, 169: 70-86
|
| [31] |
Piscopo V, Scamardella A. Comparative study between analytical and FE analysis for the ultimate strength assessment of pitted platings. International Shipbuilding Progress, 2019, 66(1): 3-15
|
| [32] |
Piscopo V, Scamardella A. Ultimate strength assessment of intact and pitted platings under biaxial compression. Engineering Structures, 2020, 204: 11079 1–17
|
| [33] |
Piscopo V, Scamardella A. Incidence of Pitting Corrosion Wastage on the Hull Girder Ultimate Strength. Journal of Marine Science and Application, 2021, 20(3): 477-490
|
| [34] |
Roettinger I. A generalization of the finite Fourier transformation and applications. Quarterly of Applied Mathematics, 1947, 5(3): 298-319
|
| [35] |
Scheer J, Peil U, Fuchs G (1987) Auswertung von internationalen Veröffentlichungen, Versuchsberichten, Kommissionspapieren u. ä. auf dem Gebiet des Beulens von Platten aus Stahl (in German). Technical report, Institutes für Stahlbau, Technische Universität Braunschweig, Braunschweig, Germany, Report 6095
|
| [36] |
Strandhagen AG. Use of sine transform for non-simply supported beams. Quarterly of Applied Mathematics, 1944, 1(4): 346-348
|
| [37] |
Timoshenko SP. Einige stabilitätsprobleme der elastizitätstheorie. Zeitschrift für Mathematik und Physik, 1910, 58(4): 337-357
|
| [38] |
Timoshenko SP, Gere JM. Theory of Elastic Stability, 1961, 2nd edition, New York, US: McGraw-Hill Book Company
|
| [39] |
Ueda Y, Yao T. The influence of complex initial deflection on the behaviour and ultimate strength of rectangular plates in compression. Journal of Constructional Steel Research, 1985, 5(4): 265-302 85)90024–0
|
| [40] |
Von Kármán T, Sechler EE, Donnell LH. The strength of thin plates in compression. Transactions of the American Society of Mechanical Engineers, 1932, 54: 53-57
|
| [41] |
Wang R, Shenoi RA, Sobey A. Ultimate strength assessment of plated steel structures with random pitting corrosion damage. Journal of Constructional Steel Research, 2018, 143: 331-342
|
| [42] |
Winter G. Strength of thin steel compression flanges. Transactions of the American Society of Civil Engineers, 1947, 112(1): 339-387
|
| [43] |
Yi MS, Noh SH, Lee DH, Seo DH, Paik JK. Direct measurements, numerical predictions and simple formula estimations of welding-induced biaxial residual stresses in a full-scale steel stiffened plate structure. Structures, 2021, 29: 2094-2105
|
| [44] |
Zhang S. A review and study on ultimate strength of steel plates and stiffened panels in axial compression. Ships and Offshore Structures, 2016, 11(1): 81-91
|