Geometric imperfections and lower-bound methods used to calculate knock-down factors for axially compressed composite cylindrical shells

Castro, Saullo G.P.; Zimmermann, Rolf; Arbelo, Mariano A.; Khakimova, Regina; Hilburger, Mark W.; Degenhardt, Richard

doi:10.1016/j.tws.2013.08.011

Cited by 211 publications

(77 citation statements)

References 28 publications

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“…The imperfection sensitivity exhibited by cylindrical shells renders particular emphasis on their design against instability in axial compression. Therefore, robust design approaches are being developed and validated, such as single perturbation load, single perturbation displacement, single boundary perturbation approaches, and their modifications (see, e.g., [1][2][3][4][5][6][7]) in order to replace the existing overconservative design guidelines.…”

Section: Introductionmentioning

confidence: 99%

Applicability of the Vibration Correlation Technique for Estimation of the Buckling Load in Axial Compression of Cylindrical Isotropic Shells with and without Circular Cutouts

Skuķis

Ozoliņš

Andersons

et al. 2017

Shock and Vibration

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Applicability of the vibration correlation technique (VCT) for nondestructive evaluation of the axial buckling load is considered. Thin-walled cylindrical shells with and without circular cutouts have been produced by adhesive overlap bonding from a sheet of aluminium alloy. Both mid-surface and bond-line imperfections of initial shell geometry have been characterized by a laser scanner. Vibration response of shells under axial compression has been monitored to experimentally determine the variation of the first eigenfrequency as a function of applied load. It is demonstrated that VCT provides reliable estimate of buckling load when structure has been loaded up to at least 60% of the critical load. This applies to uncut structures where global failure mode is governing collapse of the structure. By contrast, a local buckling in the vicinity of a cutout could not be predicted by VCT means. Nevertheless, it has been demonstrated that certain reinforcement around cutout may enable the global failure mode and corresponding reliability of VCT estimation.

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Section: Introductionmentioning

confidence: 99%

Applicability of the Vibration Correlation Technique for Estimation of the Buckling Load in Axial Compression of Cylindrical Isotropic Shells with and without Circular Cutouts

Skuķis

Ozoliņš

Andersons

et al. 2017

Shock and Vibration

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“…Nonlinear structural analysis based on a path-following technique is commonly used to trace the response curve and to predict the load-carrying capacity of shell structures in the presence of buckling [2,5]. Snap-through and snap-back responses are two main phenomenons usually associated with the buckling of shell structures [6].…”

Section: Introductionmentioning

confidence: 99%

“…the arc-length method [7] and norm flow method [8], have been proved to deal with the snap-through case very well. However, the above methods encounter difficulties with a snap-back response of cylindrical shells [9], where extremely sharp turning angles are present [3,5,10]. A significant reduction of the incremental step size is required to distinguish properly the two closely spaced path segments near the limit point [5,11].…”

Section: Introductionmentioning

confidence: 99%

“…However, the above methods encounter difficulties with a snap-back response of cylindrical shells [9], where extremely sharp turning angles are present [3,5,10]. A significant reduction of the incremental step size is required to distinguish properly the two closely spaced path segments near the limit point [5,11]. When instabilities are localized, there will be a local transfer of strain energy from one part of the model to neighboring parts which may prevent the success of global solution methods.…”

Section: Introductionmentioning

confidence: 99%

“…This class of problems must be solved either dynamically or with the aid of artificial damping. Thus, a combination of the displacement control and a damping factor is commonly used to pass the limit point of a snap-back response [5,10].…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear buckling analysis of the conical and cylindrical shells using the SGL strain based reduced order model and the PHC method

Liang

Ruess

2016

Aerospace Science and Technology

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Liang, K., and Nonlinear buckling analysis of the conical and cylindrical shells using the SGL strain based reduced order model and the PHC method. Aerospace Science and Technology, 55, There may be differences between this version and the published version. AbstractThin-walled conical and cylindrical shells subjected to axial compression often show a snap-back response in the presence of buckling. Newton iterations based path-following methods cannot trace reliably the snap-back response due to the extremely sharp turning angle near the limit point, and the original Koiter-Newton method also meets difficulties to achieve a complete post-buckling response beyond the limit point. In this paper, the improved KoiterNewton method is proposed to trace the post-buckling path of cylinders and cones, in the framework of the reducedorder modeling technique. The polynomial homotopy continuation (PHC) method is used to solve the lower-order nonlinear reduced order model reliably and efficiently. The simplified Green-Lagrange (SGL) kinematics which consider the stress redistribution after buckling are implemented into the construction of the reduced order model to produce accurate results for curved shells. The numerical results presented reveal that the improved method is a robust and efficient technology to achieve the entire nonlinear response for the snap-back case.

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Investigation of the buckling behaviour of ring‐stiffened cylindrical shells under axial pressure

Pasternak¹,

Li²,

Jäger-Cañás³

2021

ce papers

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Tanks and silos are often designed as ring‐stiffened cylindrical shells. Nowadays, the load‐increasing effect of tight ring stiffeners under axial compression has received just little attention in research and practice. Considering the structural safety, the ring‐stiffened shell needs to be estimated on the conservative side in practice. This is not desirable in terms of modern lightweight steel structures. Recently research results based on the numerical studies show that the axial buckling behavior of cylindrical shells can be enhanced by using ring stiffeners. In addition, the analysis of ring‐stiffened structures with numerical calculations demonstrate that cylindrical shells with ring stiffeners under axial pressure are uneconomic according to the current design standard in practice. Therefore, the results guaranteed by experiments are required, before the extensive parametric studies are putted into practice. In this paper, small specimen series are carried out to calibrate numerical models, which are subsequently used in parameter studies, because the large‐scale experiments, in the scale range of e.g. 1: 1 are cost‐intensive and therefore difficult to carry out in the laboratory. Consequently, relative small specimens with the selected radius of 796 mm and thickness 1 mm are tested. The small cylindrical shells are manufactured by welding of two half‐cylindrical shells and the ring stiffeners are spot‐welded to the cylindrical shell. The geometrical imperfection of shells is measured by a 3D scanning technologies. Finally, the experiments by means of geometrically and materially nonlinear analysis with imperfections included are recalculated on the basis of the measured data. The results illustrate that the numerical simulation agrees well with the experimental results.

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Geometric imperfections and lower-bound methods used to calculate knock-down factors for axially compressed composite cylindrical shells

Cited by 211 publications

References 28 publications

Applicability of the Vibration Correlation Technique for Estimation of the Buckling Load in Axial Compression of Cylindrical Isotropic Shells with and without Circular Cutouts

Applicability of the Vibration Correlation Technique for Estimation of the Buckling Load in Axial Compression of Cylindrical Isotropic Shells with and without Circular Cutouts

Nonlinear buckling analysis of the conical and cylindrical shells using the SGL strain based reduced order model and the PHC method

Investigation of the buckling behaviour of ring‐stiffened cylindrical shells under axial pressure

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