Minimum weight design of beams against failure under uncertain loading by convex analysis

Radebe, Isaac Sfiso; Adali, Sarp

doi:10.1007/s12206-013-0517-9

Cited by 7 publications

(2 citation statements)

References 29 publications

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“…The problem analysis is conducted using convex modeling of uncertainties to determine the least favourable conditions to produce the highest deflection. Convex modeling has been used extensively in the past to deal with various engineering problems containing data uncertainties (see Adali et al, 1995a,b;Pantelidis and Ganzerli, 1998;Jiang et al, 2007;Kang and Luo, 2009;Hu and Qiu, 2010;Radebe and Adali, 2013). For further information, the reader is referred to the review articles by Wang et al (2001) and the book by Ben-Haim and Elishakoff (1990).…”

Section: Introductionmentioning

confidence: 99%

Static and Sensitivity Analysis of Nonlocal Nanobeams Subject to Load and Material Uncertainties by Convex Modeling

Radebe

Adali

2015

jtam

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At the nano-scale, loads acting on a nanobeam and its material properties are likely to be not known precisely, i.e., uncertain. In the present paper, the deflection of a nanobeam subject to load and material uncertainties is studied by convex modeling of the uncertainties. The level of uncertainty is taken to be bounded and the maximum deflection corresponding to the worst-case of loading or material properties is obtained, that is, the uncertainties are determined so as to maximize the deflection. The sensitivity of the deflection to the uncertainty in the material properties is also investigated. Numerical results are given relating the level of uncertainty to maximum deflection.

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Section: Introductionmentioning

confidence: 99%

Static and Sensitivity Analysis of Nonlocal Nanobeams Subject to Load and Material Uncertainties by Convex Modeling

Radebe

Adali

2015

jtam

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“…In the present study this is done by convex modeling which requires that the uncertain quantities are bounded by an ellipsoid (Luo et al, 2009). Examples of convex modeling applied to various engineering problems with uncertain data can be found in (Sadek et al, 1993;Adali et al, 1995;Qiu et al, 2009;Kang et al, 2011;Luo et al, 2011;Radebe and Adali, 2013), where beams, plates and columns have been studied with respect to static and dynamic response, vibration and buckling.…”

Section: Introductionmentioning

confidence: 99%

Effect of Surface Stress on the Buckling of Nonlocal Nanoplates Subject to Material Uncertainty

Radebe

Adali

2015

Lat. Am. j. solids struct.

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At the nano scale, the effect of surface stress becomes prominent as well as the so-called small scale effect. Furthermore due to difficulties in making accurate measurements at nano-scale as well as due to due to molecular defects and manufacturing tolerances, there exists a certain degree of uncertainty in the determination of the material properties of nano structures This, in turn, introduces some degree of uncertainty in the computation of the mechanical response of the nano-scale components. In the present study a convex model is employed to take surface tension, small scale parameter and the elastic constants as uncertain-butbounded quantities in the buckling analysis of rectangular nanoplates. The objective is to determine the lowest buckling load for a given level of uncertainty to obtain a conservative estimate by taking the worst-case variations of material properties. Moreover the sensitivity of the buckling load to material uncertainties is also investigated.

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Resolving Controls for the Boundary Approximate Controllability of Sandwich Beams with Uncertainties the Green’s Function Approach

Khurshudyan

Arakelyan

2019

Mech Compos Mater

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Minimum weight design of beams against failure under uncertain loading by convex analysis

Cited by 7 publications

References 29 publications

Static and Sensitivity Analysis of Nonlocal Nanobeams Subject to Load and Material Uncertainties by Convex Modeling

Static and Sensitivity Analysis of Nonlocal Nanobeams Subject to Load and Material Uncertainties by Convex Modeling

Effect of Surface Stress on the Buckling of Nonlocal Nanoplates Subject to Material Uncertainty

Resolving Controls for the Boundary Approximate Controllability of Sandwich Beams with Uncertainties the Green’s Function Approach

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