“…This analysis yields the buckling modes and the safety factor against instability. Neither geometrical imperfections nor non-linear behavior (material, geometric, boundary conditions ...) can be considered in this type of analysis [26]. For this reason, linear buckling has been used to determine the buckling pressure and the corresponding mode for unconstrained liners, which may be idealized as cylindrical shells.…”
Section: Linear Buckling Vs Nonlinear Buckling Analysismentioning
“…This analysis yields the buckling modes and the safety factor against instability. Neither geometrical imperfections nor non-linear behavior (material, geometric, boundary conditions ...) can be considered in this type of analysis [26]. For this reason, linear buckling has been used to determine the buckling pressure and the corresponding mode for unconstrained liners, which may be idealized as cylindrical shells.…”
Section: Linear Buckling Vs Nonlinear Buckling Analysismentioning
“…Nevertheless the aim of buckling strength assessment is the good engineering design of full-scale structures so the analysis of their imperfection forms should be of critical concern to researchers. Because of the difficulties, it is quite common for imperfections to be measured on small segments of the structure [24,25,22] and such measurements are required by standards [16,17]. However, these small segments have not yet been shown to give a reliable measure of the effect of the full imperfection set on the buckling strength.…”
Section: Zones Of Missing Data and Fourier Decompositionmentioning
“…The cooling of the welding material at the circumferential joints causes small inward deflections in the finished structure which are also accompanied by residual stresses. Pircher et al (2001a) calibrated a theoretical approach based on elastic shell theory against measured data and suggested a shape function given by…”
Section: The Axi-symmetric Weld Imperfectionmentioning
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