Shell Buckling Design Criteria Based on Manufacturing Imperfection Signatures

Hilburger, Mark W.; Nemeth, Michael P.; Starnes, James H.

doi:10.2514/1.5429

Cited by 100 publications

(27 citation statements)

References 23 publications

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“…Cf. also similar computational results by Hilburger et al (Figures 7 and 8 in [57]) for the transient postbuckling behaviour of a quasi-isotropic cylinder with measured imperfections.…”

Section: Numerical Simulations Of Buckling Behavioursupporting

confidence: 86%

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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“…Cf. also similar computational results by Hilburger et al (Figures 7 and 8 in [57]) for the transient postbuckling behaviour of a quasi-isotropic cylinder with measured imperfections.…”

Section: Numerical Simulations Of Buckling Behavioursupporting

confidence: 86%

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

Edlund

2007

Struct. Control Health Monit.

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“…Due to the absence of fast and reliable methodologies to calculate the knock-down factor of cylindrical shells under compressive loads, some authors like Hilburger et al [3] and Degenhardt et al [4] and [5] opted for fully detailed numerical models including different types of geometrical imperfections: mid-surface imperfection and thickness imperfection.…”

Section: Desicos Project (New Robust Design Guideline For Imperfectiomentioning

confidence: 99%

Numerical characterization of imperfection sensitive composite structures

Arbelo

Degenhardt

Castro

et al. 2014

Composite Structures

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“…Nonetheless, despite significant theoretical and computational efforts in understanding imperfection sensitivity, practical designs of curved shells have traditionally made use of empirical knockdown factors [11,12]. In contrast to this approach, efforts currently underway by NASA and others in the aerospace industry aim at developing deterministic design guidelines based on manufacturing-specific imperfection distribution [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Technical Brief: Knockdown Factor for the Buckling of Spherical Shells Containing Large-Amplitude Geometric Defects

Jiménez

Marthelot

Lee

et al. 2017

Journal of Applied Mechanics

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We explore the effect of precisely defined geometric imperfections on the buckling load of spherical shells under external pressure loading, using finite-element analysis that was previously validated through precision experiments. Our numerical simulations focus on the limit of large amplitude defects and reveal a lower bound that depends solely on the shell radius to thickness ratio and the angular width of the defect. It is shown that, in the large amplitude limit, the buckling load depends on an single geometric parameter, even for shells of moderate radius to thickness ratio. Moreover, numerical results on the knockdown factor are fitted to an empirical, albeit general, functional form that may be used as a robust design guideline for the critical buckling conditions of pressurized spherical shells.

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Shell Buckling Design Criteria Based on Manufacturing Imperfection Signatures

Cited by 100 publications

References 23 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

Numerical characterization of imperfection sensitive composite structures

Technical Brief: Knockdown Factor for the Buckling of Spherical Shells Containing Large-Amplitude Geometric Defects

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