Buckling analysis of cylindrical shells with random geometric imperfections

Schenk, Christian A.; Schuëller, G.I.

doi:10.1016/s0020-7462(02)00057-4

Cited by 128 publications

(95 citation statements)

References 15 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%

“…Another rule for the size of the random field mesh is provided in [166]. To the author's knowledge, there are very few publications in the literature where use is made of two really independent meshes in conjunction with a general mapping procedure of the random field realization onto the finite element mesh [20,157]. However, this is the only general approach to be adopted in large-scale engineering applications where the finite element mesh is automatically generated and the elements have variable size and unprescribed orientation.…”

Section: Discretization Of Stochastic Processes and Fieldsmentioning

confidence: 99%

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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%

Section: Discretization Of Stochastic Processes and Fieldsmentioning

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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“…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%

“…Such probabilistic models of uncertainties will be referred to as parametric here as they focus the uncertainty only on specific aspects/parameters of the computational models selected by the analyst. It is also well known that the geometric imperfections particularly responsible for the sensitiveness of such structures [16,20].…”

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 of imperfect shells with small random initial geometric imperfections has been studied by several investigators like Hansen (1977) and Schenk and Schueller (2003). Later Elishakoff et al (1987) has proposed a method which makes it possible to integrate the results of measured initial imperfections into the buckling analysis of shells.…”

Section: Introductionmentioning

confidence: 99%

Reliability Assessment of Buckling Strength for Compressed Cylindrical Shells with Interacting Localized Geometric Imperfections

Bahaoui¹,

Khamlichi²,

Bakkali³

et al. 2010

American J. of Engineering and Applied Sciences

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Problem statement: Elastic cylindrical shells are common structures in the fields of civil engineering and engineering mechanics. These thin-walled constructions may undergo buckling when subjected to axial compression. Buckling limits to large extent their strength performance. This phenomenon depends hugely on the initial distributed or localized geometric imperfections that are present on the shell structure. Localized geometric imperfections result in general from the operation of welding strakes to assemble the shell structure. In this study, reliability of buckling strength as it could be affected by shell material and geometry parameters was investigated. The localized geometric imperfections were chosen to be entering and having either a triangular or a wavelet form. Interaction between three localized imperfections had also been considered. Approach: A special software package which was dedicated to buckling analysis of quasi axisymmetric shells was used in order to compute the buckling load via the linear Euler buckling procedure. A set of five factors including shell aspect ratios, defect characteristics and the distance separating the localized initial geometric imperfections had been found to govern the buckling problem. A parametric study was performed to determine their relative influence on the buckling load reduction. Reliability analysis was carried out by using first order reliability method. Results: Wavelet imperfection was found to be more severe than triangular form in the range of low amplitude imperfections. It was shown also by comparison with the single imperfection case that further diminution of the critical load is obtained for three interacting imperfections. The interval distance separating the localized geometric imperfections was found to have important influence on the reliability index. Conclusion/Recommendations: In the he range of investigated parameters, reliability was found to increase with the distance separating the localized geometric imperfections. This can help performing optimal design of assembled strakes.

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Buckling analysis of cylindrical shells with random geometric imperfections

Cited by 128 publications

References 15 publications

The stochastic finite element method: Past, present and future

The stochastic finite element method: Past, present and future

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

Reliability Assessment of Buckling Strength for Compressed Cylindrical Shells with Interacting Localized Geometric Imperfections

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