An Analytical Buckling Load Formula for a Cylindrical Shell Subjected to Local Axial Compression

Yang, Licai; Li, Yuguang; Qiu, Tian; Dong, Yuanyuan; Zhang, Shanglin

doi:10.1115/1.4052976

Cited by 4 publications

(2 citation statements)

References 16 publications

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“…Referring to present literatures 21,25,26 for thin-walled cylindrical shells and taking combined non-uniform loads of equations ( 1) and ( 3) into consideration, we can derive the following governing differential equations:…”

Section: Governing Differential Equationsmentioning

confidence: 99%

“…Wang et al 24 experimentally studied nonlinear postbuckling behaviors of stiffened circular shells by constructing an advanced loading system, which were under uniform axial compression and stepped non-uniform external pressure. Recently, Yang et al 25,26 developed a one-parameter regular perturbation method to study the stability of circular shells under distributed lateral pressure or local axial compressive load. Using the presented formulas, common load conditions in practical engineering were considered.…”

Section: Introductionmentioning

confidence: 99%

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Analytical investigation on the buckling of cylindrical shells under combined non-uniform axial compression and external pressure

Yang

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper focuses on the buckling problem of cylindrical shells under combined non-uniform axial compression and external pressure. To obtain buckling loads, a completely new method called two-parameter perturbation method is established. Using this method, governing differential equations are solved and buckling loads expressed by load functions, load parameters, and shell dimensions are derived for the first time. Comparative studies show that buckling loads by the analytical formulas coincide with those for combined uniform loads or single wind load in literatures. Buckling of a cylinder subjected to combined bending and wind loads is analyzed, and confirmed by the Galerkin method for the case of small load variations. Therefore, the presented formulas are adequately validated. The numerical calculations are carried out to analyze the effects of non-uniform load parameters on buckling load coefficient. The obtained results in this paper can be applied to evaluate buckling loads for cylinders subjected to combined non-uniform loads in actual engineering.

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Section: Governing Differential Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical investigation on the buckling of cylindrical shells under combined non-uniform axial compression and external pressure

Yang

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

Self Cite

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Asymptotic analysis of elastoplastic bifurcation of cylindrical shells with thickness variation under axial compression

Zhao,

Yuan,

Yan

2024

Ocean Engineering

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Analytical Study on the Buckling of Cylindrical Shells With Circumferential Thickness Variation Under Varying External Pressure

Yang

2024

Journal of Pressure Vessel Technology

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In this article, the analytical buckling load coefficient formula for a cylinder with circumferential thickness variation subjected to varying external pressure is established for the first time by developing a quadratic perturbation method. Based on the presented formula, some specific examples that consider either circumferential shell thickness variation or varying lateral pressure are studied and compared with those in the published literature. First, classical cosine thickness variation is analyzed. The computed results of buckling load coefficients indicate that most of differences between the proposed formula and finite element (FE) analyses in previous literature are less than 5%. Second, wind-type pressure load is discussed, and the maximum difference of predicted buckling load coefficients between our formula and results in published article is 2.3%. Third, both circumferential thickness variation and linear liquid pressure are analyzed by the proposed analytical formula and validated by the Galerkin method when both thickness and load variations are small. Therefore, accuracy and reliability of the established formula are validated. For the purpose of engineering application, buckling of a circular shell with local circumferential thickness variation due to weld shrinkage under wind-type pressure is analytically investigated. The effects of thickness variation amplitude, load parameter, half angle of thickness variation and shell dimensions on buckling load coefficients are studied in detail.

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An Analytical Buckling Load Formula for a Cylindrical Shell Subjected to Local Axial Compression

Cited by 4 publications

References 16 publications

Analytical investigation on the buckling of cylindrical shells under combined non-uniform axial compression and external pressure

Analytical investigation on the buckling of cylindrical shells under combined non-uniform axial compression and external pressure

Asymptotic analysis of elastoplastic bifurcation of cylindrical shells with thickness variation under axial compression

Analytical Study on the Buckling of Cylindrical Shells With Circumferential Thickness Variation Under Varying External Pressure

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