Buckling of geometrically imperfect cylindrical shells — definition of a buckling load

Wullschleger, L.; Meyer-Piening, H.-R.

doi:10.1016/s0020-7462(01)00089-0

Cited by 67 publications

(16 citation statements)

References 9 publications

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“…In order to achieve a more realistic picture of cylinder buckling behaviour, simulation should be performed as a transient process [17][18][19][20]45,46,50,83]. The method gave very good agreement with experimental results, which is also the case for the quasi-static method by Schneider [22,48,49].…”

Section: Axial Compressionmentioning

confidence: 99%

“…These tools are mostly used for static or quasi-static analysis (i.e. with monotonous, slowly changing load) [21,44], but simulations of the full dynamic buckling process have also been performed [17,20,45,46]. A dynamic, transient analysis should also handle mode jumping : Curves based on computational results by DFVLR [23].…”

Section: Numerical Simulations Of Buckling Behaviourmentioning

confidence: 99%

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Buckling of metallic shells: Buckling and postbuckling behaviour of isotropic shells, especially cylinders

Edlund

2007

Struct. Control Health Monit.

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The large discrepancies between observed buckling loads for thin shells and the predictions of the classical theory have been a great challenge to many researchers since the 1920s. In this paper, the basic behaviour and characteristics are described and recent research, mainly from the last 10 years, is reviewed. The focus is on cylindrical shells and on the influence of initial imperfections on the buckling behaviour.Examples of recent surveys in the field, each with a certain bias, are [1][2][3][4]. The first and the last both deal with imperfections in real structures and numerical buckling analysis and simulation. The second one, by Rotter, focuses on cylindrical steel shell structures like silos and tanks with relationship to the Eurocode. The third one, by Schmidt, gives an outline of several problems for steel shells, especially on approaches to a numerically based stability design. The fourth relates to applications in aerospace structures, including composite shells and reliability-based design. For a specialized review on stochastic buckling or 'uncertain buckling', see [5]. For an outline of buckling phenomena, including shell types not covered by the present paper see [6].Books: The now classic books by Bushnell [7] on computerized shell buckling and by Yamaki [8] on buckling of elastic cylinders are recommended reading. The shell stability handbook [9] treats various important shell buckling problems of practical interest. The German compilation of stability problems for civil engineering shells of revolution [10] is in handbook style and mainly deals with cylindrical, conical and spherical shells. Volume 2 of the monumental work on experimental buckling of thin-walled structures by Singer et al. [11] contains two chapters devoted to shell buckling experiments and five chapters partly dealing with that subject. A recent book by 16 authors on the stability of thin metal shells [12] is certainly essential reading. It has a focus on cylindrical shells and covers several different aspects of buckling behaviour and applications to real civil engineering shell structures. The first chapter [13], by Teng and Rotter, is a comprehensive overview on the buckling of thin shells with almost 400 references.Eurocodes: As an example of codes, the Eurocode will be briefly discussed. The most recent editions of the European design code for metal shell structures are the Draft Eurocode 3, Part 1.6 (European Prestandard ENV) published in 1999 [2,3] and the thoroughly revised EN 1993-1-6, Eurocode 3, Part 1.6 issued in 2005 [14,15]. Rotter [2] also refers to older codes and standards both of the generic type, i.e. intended for a whole class of structures of a common form, and of the application type, i.e. intended for a certain structural type, such as tanks or silos. The new EN of 2005 [14] permits all forms of analysis and should be fully general for all kinds of thinwalled metal shells. The Eurocode defines two reference strengths: the 'elastic critical resistance' R cr , computed by a linear bifurcation analysis (...

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Section: Axial Compressionmentioning

confidence: 99%

Section: Numerical Simulations Of Buckling Behaviourmentioning

confidence: 99%

Buckling of metallic shells: Buckling and postbuckling behaviour of isotropic shells, especially cylinders

Edlund

2007

Struct. Control Health Monit.

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“…[11] for modeling dents in plates, and in Refs. [21][22][23] for modeling dents in cylindrical shells. 1 2 ( ) 2 ( ) 1 cos 1 cos 4…”

Section: Modeling Of Dented Platesmentioning

confidence: 99%

Ultimate strength of a square plate with a longitudinal/transverse dent under axial compression

2011

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Thin shell structures are efficient structures because of their high load-carrying capacity and small weight. Thin plates are one of the common structural elements. Their load-carrying capacity mainly depends on their buckling behavior, which is in turn affected by the imperfections present in them. Dent is one of the common geometrical imperfections in thin shell structures, which may be formed in the plate as an impact of sharp objects, among other reasons. Using ANSYS nonlinear FEA, the present work conducts a numerical study of the effect of various dent parameters on the ultimate strength of a thin plate, with a longitudinal or a transverse dent located centrally on the plate, under uniaxial compressive loading with simply supported boundary conditions.

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“…Their design recommendations are supported by computational results for perfect cylindrical shells. Wullschleger and Meyer-Piening (2002) recommended, based on extensive buckling tests and analyses, that for the most reliable evaluation of the instability of imperfect carbon fibre-reinforced plastic (CFRP) cylinders, proper imperfection measurements, with a nodal resolution in the order of the mesh size used for the nonlinear pre-buckling analyses, are needed. Bisagni (2000) reported the correlation to be within 15-20 % between the numerical and experiments in composite shell buckling, using the measured imperfections in the finite element model.…”

Section: Introductionmentioning

confidence: 99%

The effect of different geometrical imperfection of buckling of composite cylindrical shells subjected to axial loading

Shahrjerdi

Bahramibabamiri

2015

Int J Mech Mater Eng

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Background: Advanced lightweight laminated composite shells are increasingly being used in modern aerospace structures to enhance their structural efficiency and performance. Such thin-walled structures are susceptible to buckling when subjected to static and dynamic compressive stresses. This paper reports on the numerical (finite element method (FEM)) study on buckling of carbon fibre-reinforced plastic (CFRP) layered composite cylinders under displacement and load-controlled static axial compression. Methods: The effects of geometric properties, lamina lay-up, amplitudes of imperfection and parametric research of the shape (square, circular) and the dimensions (axial and circumferential sizes, diameter) of the opening on the strength of the cylinders under compression were studied. The measurement of imperfections on the cylindrical surface is achieved using the interpolation method and Fourier series. Results: The analysis indicates that the critical load is sensitive to the circumferential size of the opening. The function (critical load-circumferential size of the opening) is linear for large openings and independent of the geometrical imperfections of the shell. However, for small openings, it is necessary to take into account the coupling between the initial geometrical imperfections and the openings. Conclusions: The linear approach does not fit due to the importance of the evolution of the displacements near the openings. Also, it was shown that the buckling behaviour of thin composite cylindrical shells can be evaluated accurately via modelling to determine the imperfections and the material properties in FEM.

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Buckling of geometrically imperfect cylindrical shells — definition of a buckling load

Cited by 67 publications

References 9 publications

Buckling of metallic shells: Buckling and postbuckling behaviour of isotropic shells, especially cylinders

Buckling of metallic shells: Buckling and postbuckling behaviour of isotropic shells, especially cylinders

Ultimate strength of a square plate with a longitudinal/transverse dent under axial compression

The effect of different geometrical imperfection of buckling of composite cylindrical shells subjected to axial loading

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