2016
DOI: 10.1080/15376494.2015.1068401
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Analytical study on the buckling of cylindrical shells with stepwise variable thickness subjected to uniform external pressure

Abstract: This paper focuses on the buckling of cylindrical shells with stepwise variable thickness subjected to uniform external pressure. Firstly, combining the method of separation of variables, perturbation method and Fourier series expansion, an analytical method for the buckling analysis of cylindrical shells with axisymmetric thickness variation subjected to external pressure is established. The method is verified by comparing with the previous results. Then, the stepwise variable thickness of cylindrical shells … Show more

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Cited by 16 publications
(2 citation statements)
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References 15 publications
(20 reference statements)
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“…Yang et al [8,9] combined a single perturbation technique and Fourier series expansion to investigate the buckling of a cylinder under uniform external pressure with axisymmetric or non-axisymmetric thicknesses. Following the same method, Zhou et al [10] conducted a buckling analysis for a cylinder with stepped thickness under uniform lateral pressure and compared buckling load expressions with formulas in current design codes. Mahboubi Nasrekani and Eipakchi [11] applied the Gauss integral method to solve the non-linear differential equations, and analyzed buckling behaviors of cylinders with variable thickness loaded by both axial load and lateral pressure.…”
Section: Introductionmentioning
confidence: 99%
“…Yang et al [8,9] combined a single perturbation technique and Fourier series expansion to investigate the buckling of a cylinder under uniform external pressure with axisymmetric or non-axisymmetric thicknesses. Following the same method, Zhou et al [10] conducted a buckling analysis for a cylinder with stepped thickness under uniform lateral pressure and compared buckling load expressions with formulas in current design codes. Mahboubi Nasrekani and Eipakchi [11] applied the Gauss integral method to solve the non-linear differential equations, and analyzed buckling behaviors of cylinders with variable thickness loaded by both axial load and lateral pressure.…”
Section: Introductionmentioning
confidence: 99%
“…Work [14] is devoted to the stability of plates of variable thickness, but [15][16][17][18] -to the vibration of shells with a variable thickness. In [19,20], shells with a piecewise-constant thickness variation are considered.…”
mentioning
confidence: 99%