Buckling of an egg-shaped shell with varying wall thickness under uniform external pressure

Zhang, Jian; Hua, Zhengdao; Wang, Fang; Tang, Wenxian

doi:10.1080/17445302.2018.1524553

Cited by 15 publications

(4 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This boundary condition, recommended by the China Classification Society (CCS) Rules for the Classification and Construction of Diving Systems and Submersibles, can be applied to numerically evaluate the ultimate strength of spherical and cylindrical pressure hulls [27]. Furthermore, this boundary condition has been applied to effectively evaluate the ultimate strength of egg-shaped pressure hulls [28][29][30], longan-shaped pressure hulls [31], and corrugated pressure hulls [17].…”

Section: Methodsmentioning

confidence: 99%

Buckling Behavior of Stainless Wave-Shaped Pressure Hulls

Zheng,

Hu,

Jiao

et al. 2024

JMSE

Self Cite

View full text Add to dashboard Cite

This study primarily focuses on the buckling behavior of wave-shaped pressure hulls subjected to uniform external pressure. The effect of slant angle on the buckling behavior of hulls was examined. The tested slant angles ranged from 0° to 30° and were increased at 1° increments. The buckling of smooth cylindrical pressure hulls and wave-shaped pressure hulls was investigated using numerical methods. A wave-shaped pressure hull was produced for experimental verification. The nonlinear numerical results aligned with the collected experimental data. The buckling load of the tested wave-shaped pressure hull was approximately 1.87 times that of the equivalent cylindrical pressure hull. Furthermore, a formula was developed to estimate the load-bearing capacity of the wave-shaped pressure hull. This formula, which has been experimentally validated, comprises a correction coefficient (obtained through numerical evaluation and regression analysis) and a classic semi-analytical formula for cylindrical pressure hulls.

show abstract

Section: Methodsmentioning

confidence: 99%

Buckling Behavior of Stainless Wave-Shaped Pressure Hulls

Zheng,

Hu,

Jiao

et al. 2024

JMSE

Self Cite

View full text Add to dashboard Cite

show abstract

“…On the symmetrical plane of the ring, which was not collinear with the previous two points, one point was selected to limit the displacement of the X and Y axes (U X = U Y = 0). The aforementioned method was applied to examine the buckling of egg-shaped shells [36,37], longan-shaped shells [38], spherical shells [39,40], and toroidal shells [41,42]. Due to the complexity of the surfaces of sphere-segmented toroidal shells, most of the elements were set to be quadrangular shell elements (S4).…”

Section: Numerical Analysis Of the Two Manufactured Sphere-segmented ...mentioning

confidence: 99%

“…The convergence study was based on the eigenmode analysis. shells [38], spherical shells [39,40], and toroidal shells [41,42]. Due to the complexity of the surfaces of sphere-segmented toroidal shells, most of the elements were set to be quadrangular shell elements (S4).…”

Section: Numerical Analysis Of the Two Manufactured Sphere-segmented ...mentioning

confidence: 99%

Numerical and Experimental Buckling and Post-Buckling Analyses of Sphere-Segmented Toroidal Shell Subject to External Pressure

Zhang

Wang

2022

Metals

Self Cite

View full text Add to dashboard Cite

This study determined the buckling characteristics of sphere-segmented toroidal shells subjected to external pressure. The proposed toroidal vessel comprises six spheres and six rings. Two laboratory models with the same nominal dimensions were manufactured, measured, tested, and evaluated. To investigate whether sphere-segmented toroidal shells are imperfection-sensitive structures with closely spaced eigenvalues, the subspace algorithm was applied to evaluate the first 50 eigenmodes, and the modified Riks algorithm was used to obtain post-buckling characteristics. The results indicated that the deviation between the results of the experimental and numerical analyses was within a reasonable range. The proposed sphere-segmented toroidal shells were highly imperfection-sensitive structures with closely spaced eigenvalues. Subsequently, imperfection sensitivity analysis confirmed this conclusion. In numerical analyses, the first eigenmode could be considered as the worst eigenmode of sphere-segmented toroidal shells. The trend of the equilibrium path of sphere-segmented toroidal shells was consistent with spherical shells, revealing instability. In addition, ellipticity and completeness exerted a negligible effect on the buckling load of sphere-segmented toroidal shells.

show abstract

“…Common techniques for fabricating shells of revolution include computerized numerical control (CNC) machining, stamping, hydroforming, and rapid prototyping. CNC machining can produce a variety of shells, such as ellipsoidal [14], barreled [15,16], conical [17], and egg-shaped [18], at a laboratory scale; however, it has limitations when it comes to manufacturing large shells and may affect surface integrity. Cold and hot stamping are commonly used for fabricating small and large thin shells [19][20][21][22]; however, this approach requires using expensive dies and presses to ensure the forming accuracy of the parts, and cracking is also common.…”

Section: Introductionmentioning

confidence: 99%

Internal Hydroforming of Large Stainless-Steel Eggshells from Stepped Preforms

Tang

Zhang

Zhan

et al. 2023

Metals

Self Cite

View full text Add to dashboard Cite

The internal hydroforming of large stainless-steel eggshells from a stepped preform is investigated in this paper. The nominal major and minor axes of the eggshell were 1537 and 1070 mm, respectively. The stepped preform was fabricated from thin-walled (1.9 mm thick) stainless-steel sheets and comprised twelve conical segments inscribed inside the target eggshell. The preform was then hydroformed, and its wall thickness and shape were measured. The yield load distribution and material hardening of the hydroforming process were investigated analytically. Nonlinear finite-element analyses were employed to further investigate hydroforming behaviors and the effect of weld lines on hydroforming. The experimental, numerical, and analytical results were consistent. The results confirm that, during the hydroforming process, considerable springback occurs for large eggshells, which greatly affects forming precision. However, this effect can be reduced by accounting for the strengthening effect of weld lines.

show abstract

Buckling of an egg-shaped shell with varying wall thickness under uniform external pressure

Cited by 15 publications

References 30 publications

Buckling Behavior of Stainless Wave-Shaped Pressure Hulls

Buckling Behavior of Stainless Wave-Shaped Pressure Hulls

Numerical and Experimental Buckling and Post-Buckling Analyses of Sphere-Segmented Toroidal Shell Subject to External Pressure

Internal Hydroforming of Large Stainless-Steel Eggshells from Stepped Preforms

Contact Info

Product

Resources

About