Yang, Licai; Chen, Zhiping; Chen, Fucai; Guo, Wenjing; Cao, Guowei Buckling of cylindrical shells with general axisymmetric thickness imperfections under external pressure. (English) Zbl 1347.74036 Eur. J. Mech., A, Solids 38, 90-99 (2013). Summary: This study focuses on the buckling of cylindrical shells under external pressure with general axisymmetric thickness imperfections. Firstly, the result of uniform thickness imperfection and recent study result of axisymmetric modal thickness imperfection are reviewed briefly. Secondly, asymptotic formulas of the buckling load, which are in terms of the thickness imperfection parameter up to arbitrary order, are determined through asymptotic analyses. The analyses are based on a system of linearized governing partial differential equations of perfect shells with variable thickness. Thirdly, the effects led by three patterns of thickness imperfections on the buckling of the laterally pressured cylindrical shells, which are uniform, axisymmetric modal and parabolic, are respectively investigated. Buckling loads of uniform and axisymmetric modal thickness imperfections coincide with the known results. In addition to the analytic investigation, numerical analyses and comparisons are also carried out. The analytical study results presented in the paper can be utilized to evaluate the stabilities of cylindrical shells under external pressure with general axisymmetric imperfections in thickness, once the thickness imperfection is known. Cited in 2 Documents MSC: 74G60 Bifurcation and buckling 74K25 Shells 74G10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics Keywords:buckling; external pressure; general thickness imperfections; cylindrical shells; asymptotic analyses PDFBibTeX XMLCite \textit{L. Yang} et al., Eur. J. Mech., A, Solids 38, 90--99 (2013; Zbl 1347.74036) Full Text: DOI References: [1] Amazigo, J. C.; Fraser, W. B., Buckling under external pressure of cylindrical shells with dimple shaped initial imperfections, International Journal of Solids and Structures, 7, 883-900 (1971) · Zbl 0229.73050 [2] Aghajari, S.; Abedi, K.; Showkati, H., Buckling and post-buckling behavior of thin-walled cylindrical steel shells with varying thickness subjected to uniform external pressure, Thin-walled Structures, 44, 904-909 (2006) [3] Arbocz, J.; Hol, J. 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