|Table of Contents|

Citation:
 V. Piscopo.Ultimate Strength of Platings Under Uniaxial Compression with Edges Elastically Restrained Against Torsion: A New Comprehensive Approach[J].Journal of Marine Science and Application,2024,(2):443-459.[doi:10.1007/s11804-024-00426-1]
Click and Copy

Ultimate Strength of Platings Under Uniaxial Compression with Edges Elastically Restrained Against Torsion: A New Comprehensive Approach

Info

Title:
Ultimate Strength of Platings Under Uniaxial Compression with Edges Elastically Restrained Against Torsion: A New Comprehensive Approach
Author(s):
V. Piscopo
Affilations:
Author(s):
V. Piscopo
The University of Naples "Parthenope", Department of Science and Technology, Centro Direzionale Isola C4, 80143 Naples, Italy
Keywords:
Platings under compression|Edges elastically restrained against torsion|Torsional stiffness|Supporting members|Eigenvalue buckling analysis|Nonlinear ultimate strength analysis|FE simulations
分类号:
-
DOI:
10.1007/s11804-024-00426-1
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.

References:

Allen HG, Bulson PS (1980) Background to buckling. New York:McGraw-Hill Book Company, US
Ansys (2022) ANSYS User Guide
Bridget FJ, Gerome CC, Vosseller AB (1934) Some new experiments on buckling of thin-wall construction. Transactions of the American Society of Mechanical Engineers 56(6):569-578
Bryan GH (1890) 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 22(1):54-67
Caldwell JB (1965) Ultimate longitudinal strength. Transactions of the Royal Institution of Naval Architects 107:411-430
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
Cui W, Wang Y, Pedersen PT (2002) Strength of ship plates under combined loading. Marine Structures 15, 75-97. https://doi.org/10.1016/S0951-8339(01)00009-0
DIN (1990) DIN 18800-3 "Steel Structures-Part 3:Stability-Safety against buckling of plates". Deutsches Institut fur Normung E.V., Berlin, Germany
DnV (2023) Recommended Practice RP-C201 "Buckling strength of plated structures". Det Norske Veritas, Oslo, Norway
ECS (2019) ENV 1993-1-5 "Eurocode 3:Design of steel structuresPart 1-5:General rules-Supplementary rules for planar plated structures without transverse loading". The European Committee for Standardization, Brussels, Belgium
Evans JH (1960) Strength of wide plates under uniform edge compression. The Society of Naval Architects and Marine Engineers Transactions 68:585-621
Faulkner D (1975) A review of effective plating for the analysis of stiffened plating in bending and compression. Journal of Ship Research 19(1):1-17. https://doi.org/10.5957/jsr.1975.19.1.1
Feng L, Hu L, Chen X, Shi H (2020) A parametric study on effects of pitting corrosion on stiffened panels’ ultimate strength. International Journal of Naval Architecture and Ocean Engineering 12:699-710. https://doi.org/10.1016/j.ijnaoe.2020.08.001
Frankland JM (1940) The strength of ship plating under edge compression. Technical report, United States Experimental Model Basin, Washington, DC, Report n.469
Fujikubo M, Yao T (1999) Elastic local buckling strength of stiffened plate considering plate/stiffener interaction and welding residual stress. Marine Structures 12, 543-564. https://doi.org/10.1016/S0951-8339(99)00032-5
Guedes Soares C, Kmiecik M (1993) Simulation of the ultimate compressive strength of unstiffened rectangular plates. Marine Structures 6(5-6):553-569. https://doi.org/10.1016/0951-8339(93)90037-4
Guedes Soares C, Gordo JM (1996a) Collapse strength of rectangular plates under transverse compression. Journal of Constructional Steel Research 36(3), 215-234. https://doi.org/10.1016/0143-974X(95)00018-Q
Guedes Soares C, Gordo JM (1996b) Compressive strength of rectangular plates under biaxial load and lateral pressure. ThinWalled Structures 24(3), 231-259. https://doi.org/10.1016/0263-8231(95)00030-5
IACS (2006a) Common Structural Rules for Bulk Carriers. The International Association of Classification Societies, London, UK
IACS (2006b) Common Structural Rules for Oil Tankers. The International Association of Classification Societies, London, UK
IACS (2022). Common Structural Rules for Bulk Carriers and Oil Tankers. The International Association of Classification Societies, London, UK IACS (2023) New Unified Requirement On Buckling Strength Assessment of Ship Structural Elements (UR S35). The International Association of Classification Societies, London, UK
Khan I, Zhang S (2011) Effects of welding-induced residual stress on ultimate strength of plates and stiffened panels. Ships and Offshore Structures 6(4):297-309. https://doi.org/10.1080/17445301003776209
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
Masaoka K, Mansour A (2004) Ultimate compressive strength of imperfect unstiffened plates:simple design equations. Journal of Ship Research 48(3):191-201. https://doi.org/10.5957/jsr.2004.48.3.191
McKenzie KI (1964) The Buckling of a Rectangular Plate under Combined Biaxial Compression, Bending and Shear. Aeronautical Quarterly 15(3):239-246. https://doi.org/10.1017/S0001925900010866
Paik JK, Thayamballi AK (2000) Buckling strength of steel plating with elastically restrained edges. Thin-Walled Structures 37, 27-55.
https://doi.org/10.1016/S0263-8231(00)00009-4
Paik JK, Thayamballi AK, Lee JM (2004) Effect of initial deflection shape on the ultimate strength behavior of welded steel plates under biaxial compressive loads. Journal of Ship Research 48(1):45-60. https://doi.org/10.5957/jsr.2004.48.1.45
Piscopo V (2012) Buckling of uniaxially compressed plates with all edges elastically restrained against torsion. International Journal of Advanced Computer Science 2(6):242-249
Piscopo V, Scamardella A (2018) Towards a unified formulation for the ultimate strength assessment of uncorroded and pitted platings under uniaxial compression. Ocean Engineering 169:70-86. https://doi.org/10.1016/j.oceaneng.2018.08.042
Piscopo V, Scamardella A (2019) Comparative study between analytical and FE analysis for the ultimate strength assessment of pitted platings. International Shipbuilding Progress 66(1), 3-15. https://doi.org/10.3233/ISP-180251
Piscopo V, Scamardella A (2020) Ultimate strength assessment of intact and pitted platings under biaxial compression. Engineering Structures 204, 11079, 1-17. https://doi.org/10.1016/j.engstruct.2019.110079
Piscopo V, Scamardella A (2021) Incidence of Pitting Corrosion Wastage on the Hull Girder Ultimate Strength. Journal of Marine Science and Application 20(3):477-490. https://doi.org/10.1007/s11804-021-00218-x
Roettinger I (1947) A generalization of the finite Fourier transformation and applications. Quarterly of Applied Mathematics 5(3):298-319
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
Strandhagen AG (1944) Use of sine transform for non-simply supported beams. Quarterly of Applied Mathematics 1(4):346-348
Timoshenko SP (1910) Einige stabilitätsprobleme der elastizitätstheorie. Zeitschrift für Mathematik und Physik 58(4):337-357
Timoshenko SP, Gere JM (1961) Theory of Elastic Stability 2nd edition, McGraw-Hill Book Company, New York, US
Ueda Y, Yao T (1985) The influence of complex initial deflection on the behaviour and ultimate strength of rectangular plates in compression. Journal of Constructional Steel Research 5(4):265-302. https://doi.org/10.1016/0143-974X(85)90024-0
Von Kármán T, Sechler EE, Donnell LH (1932) The strength of thin plates in compression. Transactions of the American Society of Mechanical Engineers 54:53-57
Wang R, Shenoi RA, Sobey A (2018) Ultimate strength assessment of plated steel structures with random pitting corrosion damage.
Journal of Constructional Steel Research 143:331-342. https://doi.org/10.1016/j.jcsr.2018.01.014
Winter G (1947) Strength of thin steel compression flanges. Transactions of the American Society of Civil Engineers 112(1):339-387
Yi MS, Noh SH, Lee DH, Seo DH, Paik JK (2021) Direct measurements, numerical predictions and simple formula estimations of welding-induced biaxial residual stresses in a full-scale steel stiffened plate structure. Structures 29, 2094-2105. https://doi.org/10.1016/j.istruc.2020.05.030
Zhang S (2016) A review and study on ultimate strength of steel plates and stiffened panels in axial compression. Ships and Offshore Structures 11(1):81-91. https://doi.org/10.1080/17445302.2014.992610

Memo

Memo:
-
Last Update: 2024-05-28