Buckling analysis of cylindrical shells with cutouts including random boundary and geometric imperfections

Schenk, Christian A.; Schuëller, G.I.

doi:10.1016/j.cma.2007.03.014

Cited by 65 publications

(34 citation statements)

References 8 publications

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“…There also exist some cases where the K-L expansion has been implemented in the framework of MCS e.g. [112,[157][158][159]. It should be noted that for homogeneous random fields defined over an infinite domain, the K-L expansion reduces, theoretically, to the spectral representation method [65,88].…”

Section: The Spectral Representation Methodsmentioning

confidence: 99%

The stochastic finite element method: Past, present and future

Stefanou

2009

Computer Methods in Applied Mechanics and Engineering

862

407

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a b s t r a c tA powerful tool in computational stochastic mechanics is the stochastic finite element method (SFEM). SFEM is an extension of the classical deterministic FE approach to the stochastic framework i.e. to the solution of static and dynamic problems with stochastic mechanical, geometric and/or loading properties. The considerable attention that SFEM received over the last decade can be mainly attributed to the spectacular growth of computing power rendering possible the efficient treatment of large-scale problems. This article aims at providing a state-of-the-art review of past and recent developments in the SFEM area and indicating future directions as well as some open issues to be examined by the computational mechanics community in the future.

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Section: The Spectral Representation Methodsmentioning

confidence: 99%

The stochastic finite element method: Past, present and future

Stefanou

2009

Computer Methods in Applied Mechanics and Engineering

862

407

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“…Furthermore, they pointed out the importance of initial imperfections for numerical simulations. Schenk and Schuёller (2007) studied the effects of random geometric imperfections on the critical load of thin-walled cylindrical shells under axial compression with rectangular cutouts. They found that the coefficient of variation of the critical load did not decrease with the imperfections' magnitude.…”

Section: Literature Reviewmentioning

confidence: 99%

“…For a couple of decades, a number of studies were conducted to provide buckling analyses of circular cylindrical shells (Brazier 1927;Reissner 1961;Seide & Weingarten 1961;Fabian 1977;Gellin 1980) with cutouts under axial compression (Schenk & Schuёller 2007;Shariati &Rokhi 2010;Ghazijahani et al 2015) and pure bending (Yeh et al 1999;Dimopoulos & Gantes 2012, 2015Guo et al 2013;.…”

Section: Introductionmentioning

confidence: 99%

Ultimate strength of cylindrical shells with cutouts

Lee

Sahin

Rigo

et al. 2017

Ships and Offshore Structures

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KEYWORDSCutouts; ultimate strength; wind turbine tower; parameters of influence; nonlinear finite element method ABSTRACT Cutouts -perforations that are often made in wind turbine towers to allow access or passage -can also reduce the towers' ultimate strength. Thus, cutouts may need to be included in the ultimate strength formulations for wind turbine towers as an influential parameter, where significant. The aims of this study are to examine the effects of cutouts on the ultimate-strength characteristics of wind turbine towers and to propose empirical formulae to predict the reduced ultimate strength under axial compression and pure bending. The structural features of cutouts and towers in real wind turbines are investigated, and the effects of different design variables -such as shape, location, aspect ratio, column slenderness ratio, and column aspect ratio -on the ultimate-strength behaviour are described. The ultimate strengths of the towers are computed using elastic-plastic large-deflection finite element analyses. Empirical formulae accommodating a whole range of actual dimensional characteristics of cutouts and towers are derived and proposed. The findings of this research and the proposed formulae have the potential to enhance the structural design and safety assessment of wind turbine towers.

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“…The eigenvectors ϕ α (or POD modes), will form the vector basis of Eq. (18). Their corresponding eigenvalues λ α are ordered by decreasing values.…”

Section: Construction Of the Mean Nonlinear Reduced Static Computatiomentioning

confidence: 99%

“…The problems involving large nonlinear computational models, taking into account either or both the presence of random uncertainties and the stochastic nature of the loading requires appropriate strategies to properly achieve the dynamical analysis, see for instance [14,15]. More particularly, nonlinear stochastic buckling analyses have recently been conducted in which geometrical imperfections [16,17] and random boundary conditions [18] were modeled as Gaussian random fields whose statistical properties are issued from available experimental data. Non-Gaussian random fields have also been used for studying the sensitivity of buckling loads with respect to material and geometric imperfections of cylindrical shells [19].…”

Section: Introductionmentioning

confidence: 99%

Post-buckling nonlinear static and dynamical analyses of uncertain cylindrical shells and experimental validation

Capiez‐Lernout

Soize

Mignolet

2014

Computer Methods in Applied Mechanics and Engineering

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The paper presents a complete experimental validation of an advanced computational methodology adapted to the nonlinear post-buckling analysis of geometrically nonlinear structures in presence of uncertainty. A mean nonlinear reduced-order computational model is first obtained using an adapted projection basis. The stochastic nonlinear computational model is then constructed as a function of a scalar dispersion parameter, which has to be identified with respect to the nonlinear static experimental response of a very thin cylindrical shell submitted to a static shear load. The identified stochastic computational model is finally used for predicting the nonlinear dynamical post-buckling behavior of the structure submitted to a stochastic ground motion.

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Buckling analysis of cylindrical shells with cutouts including random boundary and geometric imperfections

Cited by 65 publications

References 8 publications

The stochastic finite element method: Past, present and future

The stochastic finite element method: Past, present and future

Ultimate strength of cylindrical shells with cutouts

Post-buckling nonlinear static and dynamical analyses of uncertain cylindrical shells and experimental validation

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