Local buckling of axially compressed cylindrical shells with different boundary conditions

Thin-Walled Structures - Tập 141 - Trang 374-388 - 2019
A. Evkin1, V. Krasovsky2, O. Lykhachova2, V. Marchenko2
1Software for Structures, Toronto, Canada
2Prydniprovs'ka State Academy of Civil Engineering and Architecture, Dnipro, Ukraine

Tài liệu tham khảo

Batdorf, 1947, Simplified method of elastic stability analysis for thin cylindrical shells, NASA Rept, 874 1968 von Karman, 1941, The buckling of cylindrical shells under axial compression, J. Aeronaut. Sci., 8, 303, 10.2514/8.10722 Koiter, 1945 Pogorelov, 1988, Bending of Surfaces and stability of shells, Translation of mathematical monographs, American Mathematical Society, 72 Evkin, 1989, A new approach to the asymptotic integration of the equations of shallow convex shell theory in the postcritical stage, J. Appl. Math. Mech., 53, 92, 10.1016/0021-8928(89)90139-1 Evkin, 2001, Analysis of large deflection equilibrium states of composite shells of revolution. Part 1. General model and singular perturbation analysis, Int. J. Solids Struct., 38, 8961, 10.1016/S0020-7683(01)00184-6 Evkin, 2001, Analysis of large deflection equilibrium states of composite shells of revolution. Part 2. Applications and numerical results, Int. J. Solids Struct., 38, 8975, 10.1016/S0020-7683(01)00185-8 Mossakovskii, 1975, A study of the post-critical equilibrium configurations of a cylindrical shell under compression, Prikladnaya Mekhanika International Applied Mechanics], 11, 1155 Evkin, 1978, Stability of longitudinally compressed shells under quasi-static local disturbances, Izv. AN SSSR, Mekhanika. Tverdogo Tela Mechanics of Solids], 13, 95 Evkin, 1991, Post-critical deformation and estimation of the stability of real cylindrical shells under external pressure, Prikladnaya Mekhanika [Soviet applied mechanics], 27, 290 Evkin, 2018, Local buckling of cylindrical shells. Pogorelov's geometrical method, 369 Gabril’iants, 1961, Axially-symmetric forms of equilibrium of an elastic spherical shell under uniform distributed pressure, J. Appl. Math. Mech., 25, 1629, 10.1016/0021-8928(62)90141-7 Ricardo, 1967 Vladimirov, 1969, Experimental investigation of local loss of stability of a cylindrical shell during axial compression, Izv. AN SSSR, Mekhanika. Tverdogo Tela Mechanics of Solids], 4, 158 Tennyson, 1969, Buckling modes of circular cylindrical shells under axial compression, AIAA J., 7, 1481, 10.2514/3.5419 Eßlinger, 1970, Hochgeschwindigkeitsaufnahmen vom Beulvorgang dünnwandiger axialbelasteter Zylinder, Stahlbau, 39, 73 Horak, 2006, Cylinder buckling: the mountain pass as an organizing centre, SIAM J. Appl. Math., 66, 1793, 10.1137/050635778 Wagner, 2016, Constant single-buckle imperfection principle to determine a lower bound for the buckling load of unstiffened composite cylinders under axial compression, Compos. Struct., 139, 120, 10.1016/j.compstruct.2015.11.047 Krasovsky, 2011, Deformation and buckling of axially compressed cylindrical shells with local loads in numerical simulation and experiments, Thin-Walled Struct., 49, 576, 10.1016/j.tws.2010.09.009 W.T. Haynie, M.W. Hilburger, M. Bogge, M. Maspoli, B. Kriegesmann, Validation of lower-bound estimates for compression-loaded cylindrical shells, in: Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference · April 2012, doi: 10.2514/6.2012-1689. Wagner, 2017, Robust design criterion for axially loaded cylindrical shells – simulation and validation, Thin-Walled Struct., 115, 154, 10.1016/j.tws.2016.12.017 Wagner, 2018, Robust knockdown factors for design of cylindrical shells under axil compression: potentials, practical application and reliability analysis, Int. J. of Mech. Sciences, 135, 410, 10.1016/j.ijmecsci.2017.11.020 Gerasimidis, 2018, On establishing buckling knockdowns for imperfection-sensitive shell structures, J. Appl. Mech., 85, 10.1115/1.4040455 Almroth, 1966, Influence of edge conditions on the stability of axially compressed cylindrical shells, AIAA J., 4, 134, 10.2514/3.3396 Yamaki, 1984, 573 Krasovsky, 1973 Marchenko, 2013 Mossakovskii, 1972, Investigation of post-critical behaviour of cylindrical shells, Proceedings, USSR Academy of Sciences, 206, 297 Manevich, 1975, Experimental study of the transcritical behaviour of shells, Izv. AN SSSR, Mekhanika, Tverdogo Tela [Mechanics of Solids], 10, 95 Krasovsky, 2018, Features of deformation of smooth and stringer cylindrical shells at axial compression and statistical properties of their critical loads, 411 Manevich, 1973, Experimental study of influence of testing machine stiffness on buckling of axially compressed cylindrical shells, Izv. AN SSSR, Mekhanika. Tverdogo Tela Mechanics of Solids], 10, 95 Babcock, 1967, The influence of the testing machine on the buckling of cylindrical shells under axial compression, Int. J. Solids Struct., 3, 809, 10.1016/0020-7683(67)90056-X Almroth, 1964, An experimental study of the bucking of cylinders under axial compression, Exp. Mech., 4, 263, 10.1007/BF02323088 Manevich, 1973, Experimental study of influence of testing machine stiffness on buckling of axially compressed cylindrical shells, Izv. AN SSSR, Mekhanika. Tverdogo Tela Mechanics of Solids], 10, 95 Hutchinson, 2012 Jones, 1966, Toward a new snap-through buckling criterion for axially compressed circular cylindrical shells, AIAA J., 4, 1526, 10.2514/3.3730 Hutchinson, 2016, 25 Evkin, 2017, Energy barrier as a criterion for stability estimation of spherical shell under uniform external pressure, Int. J. Solids Struct., 118, 14, 10.1016/j.ijsolstr.2017.04.026 Hilburger, 2006, Shell buckling design criteria based on manufacturing imperfection signatures, AIAA J., 44, 654, 10.2514/1.5429 Verduyn, 1982 H.-N.-R. Wagner, C. Hühne, Towards Robust Knockdown Factors for the Design of Conical Shells under Axial Compression, in Press. Evkin, 1980, On post-buckling equilibrium forms of axially compressed cylindrical shell [in Russian], Conf. Proc.: Nonlinear theory of shells and plates, Kazan, 63 Arbelo, 2014, Experimental characterization of buckling load on imperfect cylindrical shells using the multiple perturbation load approach Sim, 2018, Derivations of knockdown factors for cylindrical structures considering different initial imperfection models and thickness ratios, Int. J. of Aeronautical and Space Sciences, 19, 626, 10.1007/s42405-018-0069-4 Kriegesmann, 2016, Design of cylindrical shells usingthe single perturbation load approach – potentials and application limits, Thin-Walled Struct., 108, 369, 10.1016/j.tws.2016.09.005 R. M.J. Groh, A. Pirrera, Localized Post-buckling States of Axially Compressed Cylinders and Their Energy Barriers, 7-11 January 2019, San Diego, California, AIAA SciTech Forum. Koiter, 1963, The effect of axisymmetric imperfections on the buckling of cylindrical shells under axial compression, Proc. Koninklijke Nederl. Akademie Wetenschappen, B66, 265 Hilburger, 2018, On the Development of Shell Buckling Knockdown Factors for Stiffened Metallic Launch Vehicle Cylinders