Buckling of cylindrical shells with general axisymmetric thickness imperfections under external pressure

Yang, Licai; Chen, Zhiping; Chen, Fucai; Guo, Wenjing; Cao, Guowei

doi:10.1016/j.euromechsol.2012.09.006

Cited by 28 publications

(9 citation statements)

References 15 publications

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“…They analyzed three axisymmetric thickness imperfections as examples and confirmed the presented results. Following the same method, Yang et al [11] also studied the effect of arbitrary axisymmetric thickness imperfections on the buckling of thin shells under external pressure. The buckling loads degenerated to those of Nguyen et al [7] when thickness imperfection is axisymmetric modal.…”

Section: Introductionmentioning

confidence: 95%

Analytical Study on the Buckling of Cylindrical Shells With Arbitrary Thickness Imperfections Under Axial Compression

Cao

Chen

Yang

et al. 2014

Journal of Pressure Vessel Technology

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This paper presents an analytical study on the buckling of axially compressed cylindrical shells with arbitrary thickness imperfections (nonaxisymmetric and axisymmetric). First, the basic governing partial differential equations, which consider thickness imperfections, are obtained. Second, a unified method that combines the perturbation method and Fourier series expansion is developed to derive buckling load, radial displacement and stress function, that are expressed by triple series in terms of thickness imperfection parameter and buckling modes up to arbitrary order. Third, two patterns of nonaxisymmetric thickness imperfections, which are modal and exponential, are, respectively, investigated. These results are absolutely new to literature. When modal thickness imperfection becomes axisymmetric, the buckling loads degenerate to the known results. In addition to the analytical investigation, analyses and comparisons are also carried out.

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Section: Introductionmentioning

confidence: 95%

Analytical Study on the Buckling of Cylindrical Shells With Arbitrary Thickness Imperfections Under Axial Compression

Cao

Chen

Yang

et al. 2014

Journal of Pressure Vessel Technology

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“…The thickness of the shell was assumed to vary only in the axial direction following a trigonometric function and formulae for the buckling load, which were derived by the combined perturbation and Bubnov-Galerkin methods. Yang et al [16] extended this study and presented a unified analytical formulation to predict the buckling load of cylindrical shells subjected to external pressure, considering general axisymmetric imperfections in the thickness.…”

Section: Introductionmentioning

confidence: 99%

Buckling Analysis of an AUV Pressure Vessel with Sliding Stiffeners

Freitas¹,

Álvarez

Ramos

et al. 2020

JMSE

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The structure of an autonomous underwater vehicle (AUV), usually composed of a cylindrical shell, may be exposed to high hydrostatic pressures where buckling collapse occurs before yield stress failure. In conventional submarines, welded stiffeners increase the buckling resistance, however, in small AUVs, they reduce the inner space and cause residual stresses. This work presents an innovative concept for the structural design of an AUV, proposing the use of sliding stiffeners that are part of the structure used to accommodate the electronics inside it. Since the sliding stiffeners are not welded to the shell, there are no residual stresses due to welding, the AUV fabrication process is simplified, enabling a reduction of the manufacturing cost, and the inner space is available to accommodate the equipment needed for the AUV mission. Moreover, they provide a higher buckling resistance when compared to that of an unstiffened cylindrical shell. A comparative analysis of the critical buckling loads for different shell designs was carried out considering the following: (i) the unstiffened shell, (ii) the shell with ring stiffeners, and (iii) the shell with sliding stiffeners. Results evidenced that major advantages were obtained by using the latter alternative against buckling.

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“…Elastic–plastic stability was handled for a large oil storage tank with stepped thickness by Yang et al [7] based on J 2 plastic flow theory. 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.…”

Section: Introductionmentioning

confidence: 99%

Analytical buckling load formulas for cylindrical shell structures with variable thickness under non-uniform external pressure

Yang

2022

Mathematics and Mechanics of Solids

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The novel contribution of this paper is to develop a quadratic perturbation method to derive general analytical buckling load formulas for cylindrical shell structures with varying wall thickness under non-uniform lateral pressure loads for the first time. Arbitrary thickness and lateral pressure loads are skillfully described and governing differential equations are derived. A quadratic perturbation method is developed to derive buckling load formulas, which establishes the relation among buckling loads, thickness, and load functions. The presented formulas are adequately validated by comparing with recent results for variable wall thickness or non-uniform external pressure, and exhibit a great advantage in determining buckling loads. For the purpose of engineering application, buckling of a cylinder with linear thickness under linear liquid pressure and wind load is deeply studied by the presented formulas. This study can provide a highly efficient method for buckling load computation, and a guide to design the thickness of the shell under non-uniform lateral loads.

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Buckling of cylindrical shells with general axisymmetric thickness imperfections under external pressure

Cited by 28 publications

References 15 publications

Analytical Study on the Buckling of Cylindrical Shells With Arbitrary Thickness Imperfections Under Axial Compression

Analytical Study on the Buckling of Cylindrical Shells With Arbitrary Thickness Imperfections Under Axial Compression

Buckling Analysis of an AUV Pressure Vessel with Sliding Stiffeners

Analytical buckling load formulas for cylindrical shell structures with variable thickness under non-uniform external pressure

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