Uncertain initial imperfections via probabilistic and convex modeling: Axial impact buckling of a clamped beam

Verhaeghe, Wim; Elishakoff, Isaac; Desmet, Wim; Vandepitte, Dirk; Moens, David

doi:10.1016/j.compstruc.2013.03.003

Cited by 12 publications

(3 citation statements)

References 16 publications

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“…These and other considerations have fostered the research on alternative methods for incorporating uncertainty in the structural analysis, such as fuzzy sets and related theories [95], anti-optimization or convex-set modeling [96], interval analysis [97], random sets [98], ellipsoid modeling [99,100] and worstcase scenarios [101]. Comparisons have been also made between probabilistic and alternative methods [102] or their combination has been explored [103,104].…”

Section: The Methods Of Reliability Theory Of Building Construction Imentioning

confidence: 99%

A new approach to the design of suspension roof systems

Priadko

Rudnіeva

Ribakov

et al. 2020

OMTC

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Over the last century, the suspension roofs design has progressed until the advent of the shells theory in the first half of the 20th century, due to a rapid pace in technological advancement. A paradigm shift emerged with the new trend in structural design towards a new design process that cooperatively integrated economy, efficiency, and elegance. Different approaches in computation, design and reliability assessment of roof structures are discussed in this work to identify the key conditions that have significantly contributed to modern suspension roof design principles. A new algorithm to assess the reliability of suspension roofs at the design stage is proposed and a novel method for computational design and reliability evaluation of suspension roofs is presented in this paper. This method enables to solve some topical issues, such as assignment of initial geometric roof parameters and relevant problems, like numerical determination of reliability indices for statistically non-determined systems of suspension roofs with a big cut on elliptical plan.

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Section: The Methods Of Reliability Theory Of Building Construction Imentioning

confidence: 99%

A new approach to the design of suspension roof systems

Priadko

Rudnіeva

Ribakov

et al. 2020

OMTC

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“…initial displacement that exists in the unloaded case) in beam impact buckling problems was one of the first questions addressed [2][3][4][5][6][7][8][9]. Many researchers have also demonstrated the significant impact of other types of imperfections such as geometric imperfections, fluctuations in material properties, non-perfect boundary conditions and misalignment in the loading [10][11][12][13][14]. Nowadays, sophisticated numerical methods exist, capable of integrating several sources of uncertainties and imperfections in the structural stability analysis when analyses based on analytical developments are no longer practicable.…”

Section: Introductionmentioning

confidence: 99%

Advanced computational technique based on kriging and Polynomial Chaos Expansion for structural stability of mechanical systems with uncertainties

Denimal

Sinou

2021

J Eng Math

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In this paper, a numerical strategy based on the combination of the kriging approach and the Polynomial Chaos Expansion (PCE) is proposed for the prediction of buckling loads due to random geometric imperfections and fluctuations in material properties of a mechanical system. The original computational approach is applied on a beam simply supported at both ends by rigid supports and by one punctual spring whose location and stiffness vary. The beam is subjected to a deterministic axial compression load. The PCE-kriging meta-modelling approach is employed to efficiently perform a parametric analysis with random geometrical and material properties. The approach proved to be computationally efficient in terms of number of model evaluations and in terms of computational time to predict accurately the buckling loads of a beam system. It is demonstrated that the buckling loads are substantially impacted not only by both the location and the stiffness of the spring, but also by the random parameters.

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“…In the design of engineering structures, uncertain factors always exist in their material properties, load conditions, geometrical dimensions, and so on, and these uncertain factors must be taken into consideration in the design process since they will result in fluctuation of the mechanical properties of structures (Ben-Haim, 2004;Verhaeghe et al, 2013;Wu et al, 2015b;Xia et al, 2015). Reliability-based design optimization is frequently conducted to enhance the reliability of engineering structures and reduce the chance of function failure under potentially critical conditions.…”

Section: Introductionmentioning

confidence: 99%

Direct reliability-based design optimization of uncertain structures with interval parameters

Cheng

Tang

Liu

et al. 2016

J. Zhejiang Univ. Sci. A

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Abstract:In order to enhance the reliability of an uncertain structure with interval parameters and reduce its chance of function failure under potentially critical conditions, an interval reliability-based design optimization model is constructed. With the introduction of a unified formula for efficiently computing interval reliability, a new concept of the degree of interval reliability violation (DIRV) and the DIRV-based preferential guidelines are put forward for the direct ranking of various design vectors. A direct interval optimization algorithm integrating a nested genetic algorithm (GA) and the Kriging technique is proposed for solving the interval reliability-based design model, which avoids the complicated model transformation process in indirect ones and yields an interval solution that provides more insights into the optimization problem. The effectiveness of the proposed algorithm is demonstrated by a numeric example. Finally, the proposed direct reliability-based design optimization method is applied to the optimization of a press upper beam with interval uncertain parameters, the results of which demonstrate its feasibility and effectiveness in engineering.

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Uncertain initial imperfections via probabilistic and convex modeling: Axial impact buckling of a clamped beam

Abstract: In the present study the problem of axial impact of a clamped beam with initial imperfections is treated using two uncertainty descriptions. For the deterministic solution, the exact mode and an approximative approach using so called

Cited by 12 publications

References 16 publications

A new approach to the design of suspension roof systems

A new approach to the design of suspension roof systems

Advanced computational technique based on kriging and Polynomial Chaos Expansion for structural stability of mechanical systems with uncertainties

Direct reliability-based design optimization of uncertain structures with interval parameters

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