Uncertainty modelling of critical column buckling for reinforced concrete buildings

Korkmaz, Kasım Armağan; Demir, Fuat; Tekeli, Hamide

doi:10.1007/s12046-011-0013-9

Cited by 9 publications

(5 citation statements)

References 26 publications

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“…(18), IV a is equal to the IV a = [1, 1] value; and the interval value "x" expressed by Eq. (17) is equal to the deterministic value of x = aIV a = a [1, 1] = a.…”

Section: Interval Analysismentioning

confidence: 99%

“…The formulae needed to compute the sensitivity factors of the parameters were derived based on interval theory. Korkmaz et al [18] proposed a new approach in order to investigate the effects of material uncertainty of concrete on calculating critical buckling loads of reinforced concrete column members. An uncertainty modeling framework for reinforced concrete buildings was established, which balances the accuracy of the structural models using experimental results and design codes.…”

Section: Introductionmentioning

confidence: 99%

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Uncertainty Definition on the Constitutive Models for RC Columns Wrapped with FRP

et al. 2014

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This paper aims to explore the effectiveness of the fiber-reinforced polymer (FRP)-confining mechanism in concrete in which parameters are uncertain. The confinement effect of high stiffness FRP jackets results an increase in the compressive strength of reinforced concrete columns and should be clearly defined. Various constitutive models have been constructed to predict the mechanical behavior of FRP-wrapped columns by considering this effect. However, the mechanical response of confined concrete columns due to FRP jackets under concentric compression has still been a challenging issue, and there are still some uncertainties in mechanical and also geometrical properties in the analysis and design procedure. These uncertainties can be studied with interval analysis (IA) to determine sharp bounds of the mechanical parameters such as effective lateral confining stress, Young's modulus of concrete and FRP, and geometrical parameters. For this purpose, an IA has been performed using deterministic values of compressive strength for significant number (163) of experimental data being reported by several researchers on FRP-confined square/rectangular columns. The results indicate that uncertainties in material parameters and compressive strengths play an important role in determining the lateral stresses of FRP-confined columns.

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“…(18), IV a is equal to the IV a = [1, 1] value; and the interval value "x" expressed by Eq. (17) is equal to the deterministic value of x = aIV a = a [1, 1] = a.…”

Section: Interval Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Uncertainty Definition on the Constitutive Models for RC Columns Wrapped with FRP

et al. 2014

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“…In the group of non-probabilistic methods, the most common assumption is that uncertain parameters are unknown-but-bonded. Such an assumption allows for obtaining more reliable results than when the task parameters are given as certain, as shown in [5] on the example of buckling analysis of reinforced concrete columns. Additionally, the parameters can be related with each other through convex models, such as a hyper-rectangle model or a hyper-ellipsoid model [6].…”

Section: Introductionmentioning

confidence: 99%

Application of the Theory of Convex Sets for Engineering Structures with Uncertain Parameters

Pełczyński

2020

Applied Sciences

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The present paper discusses an innovative approach providing the solution sets of engineering structures with uncertain parameters. The approach is based on the properties of convex sets and can be applied to structures described by the system of algebraic equations. The present paper focuses on trusses and frames applications, but in general it can be applied to various structures made of thin and thick bars and some plate and shell problems. The uncertain parameters are assumed to be independent. In addition, calculations are valid for any level of uncertainty and the obtained solution sets are exact within the assumed theory and are insensitive for perturbed data. Furthermore, solutions obtained by the present approach can be considered as benchmark solutions and can be used as a reference for other algorithms. The presented formulae allow the analysis of the influence of uncertain parameters on the behaviour of the structure. The presented considerations are illustrated by calculation of two truss examples.

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“…Several studies involving uncertainty quantification have been recently introduced in the literature. Korkmaz et al [33] proposed a model based on fuzzy logic for accounting material uncertainty of reinforced concrete columns under axial loads. Buckling uncertainty of steel pipelines in contact with elastic soil was investigated by Athmani et al [34].…”

Section: Introductionmentioning

confidence: 99%

Quantification of Uncertainties on the Critical Buckling Load of Columns under Axial Compression with Uncertain Random Materials

Desceliers

et al. 2019

Materials

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This study is devoted to the modeling and simulation of uncertainties in the constitutive elastic properties of material constituting a circular column under axial compression. To this aim, a probabilistic model dedicated to the construction of positive-definite random elasticity matrices was first used, involving two stochastic parameters: the mean value and a dispersion parameter. In order to compute the nonlinear effects between load and lateral deflection for the buckling problem of the column, a finite element framework combining a Newton-Raphson solver was developed. The finite element tool was validated by comparing the as-obtained critical buckling loads with those from Euler’s formula at zero-fluctuation of the elasticity matrix. Three levels of fluctuations of material uncertainties were then propagated through the validated finite element tool using the probabilistic method as a stochastic solver. Results showed that uncertain material properties considerably influenced the buckling behavior of columns under axial loading. The coefficient of variation of a critical buckling load over 500 realizations were 15.477%, 26.713% and 41.555% when applying dispersion parameters of 0.3, 0.5 and 0.7, respectively. The 95% confidence intervals of column buckling response were finally given. The methodology of modeling presented in this paper is a potential candidate for accounting material uncertainties with some instabilities of structural elements under compression.

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Uncertainty modelling of critical column buckling for reinforced concrete buildings

Cited by 9 publications

References 26 publications

Uncertainty Definition on the Constitutive Models for RC Columns Wrapped with FRP

Uncertainty Definition on the Constitutive Models for RC Columns Wrapped with FRP

Application of the Theory of Convex Sets for Engineering Structures with Uncertain Parameters

Quantification of Uncertainties on the Critical Buckling Load of Columns under Axial Compression with Uncertain Random Materials

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