A comparison of stochastic and interval finite elements applied to shear frames with uncertain stiffness properties

Lü, Hui; Elishakoff, Isaac

doi:10.1016/s0045-7949(97)00160-0

Cited by 50 publications

(16 citation statements)

References 4 publications

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“…Then appropriate partial derivatives @yðt;p 0 Þ @p i . Using first or second Taylor expansion (17) it is possible to calculate approximate values of the yðtÞ and yðtÞ for each time step.…”

Section: Adaptive Taylor Methodsmentioning

confidence: 99%

“…As one of the pioneers of fuzzy finite element modelling, Rao et al applied a directional search based algorithm to tackle the optimisation [15,16]. Other global optimisation techniques often encountered in the framework of interval finite element analysis are linear programming [17] and genetic algorithms [18]. Recently, an innovative GaD (Gradual a Decreasing) algorithm [19] is devised by Degrauwe in the context of fuzzy finite element analysis.…”

Section: Global Optimisationmentioning

confidence: 99%

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Transient response of structures with uncertain structural parameters

Rao¹,

Pownuk

Vandewalle

et al. 2010

Structural Safety

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Section: Adaptive Taylor Methodsmentioning

confidence: 99%

Section: Global Optimisationmentioning

confidence: 99%

Transient response of structures with uncertain structural parameters

Rao¹,

Pownuk

Vandewalle

et al. 2010

Structural Safety

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“…Mullen and Muhanna (1999) have introduced the bounds of the static structural response for all possible loading combinations using the interval arithmetic. The related works of the interval analysis for the static response or eigenvalue have been conducted by many researchers (Dong and Shah 1987;Koyluoglu and Elishakoff 1998;El-Gebeily et al 1999;McWilliam 2001;Chen et al 2003;Qiu 2003;Degrauwe et al 2010;Hanss 2002;Moens and Vandepitte 2004;Donders et al 2005). A comprehensive overview of the recent state of the art for the interval analysis has been provided by Moens and Hanss (2011).…”

Section: Interval Analysismentioning

confidence: 99%

Towards Narrowing Unexpected Issues in Future Earthquakes: A Review

Takewaki

2013

Advances in Structural Engineering

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When we encounter a devastating earthquake disaster, we have upgraded the earthquake resistant design codes in the long history of earthquake structural engineering. However the repetition of this action does never resolve the essential problem. This is because building structures and input ground motions have various complex uncertainties and unexpected phenomena often occur. The 2011 off the Pacific coast of Tohoku earthquake also provided some unexpected phenomena. This review paper discusses how to narrow unexpected issues in future earthquakes by referring to several concepts. Critical excitation methods, info-gap theories for uncertainty representation and interval analysis methods are the principal concepts.

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“…Because only the upper and lower bounds of the uncertain parameter are needed, the interval model can be effectively used to represent the uncertain parameters where the sample points are limited. As a matter of fact, the uncertain-but-bounded parameters are widely used in many engineering problems such as vibration, bulking, and static and dynamic characteristics of engineering structures (Impollonia and Muscolino 2011;Koyluoglu and Elishakoff 1998;Neumaier 1990;Rao and Berke 1997;Sofi and Muscolino 2015;Sofi et al 2015a, b). However, an interval analysis model incorporating the small-scale and uncertain-but-bounded parameters of CNTs has not been reported yet.…”

Section: Introductionmentioning

confidence: 99%

Flexural wave propagation in fluid-conveying carbon nanotubes with system uncertainties

Liu

2017

Microfluid Nanofluid

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Many studies have reported that the material properties of carbon nanotubes (CNTs) show a wide range and exhibit a great of uncertainties. The uncertainty, in turn, will affect the physical behaviors of CNTs. In this paper, an iterative algorithm-based interval analysis method is proposed to deal with the flexural wave propagation characteristics of fluid-conveying CNTs with system uncertainties. To make the conclusion more objective, the properties of the material and fluid are all considered as uncertain-but-bounded parameters, which can effectively describe the uncertainties where few data are available to perform the probabilistic analysis. The upper and lower bounds of the wave dispersion curves are predicted to clarify the influences of the uncertain material and fluid properties on the wave propagation behaviors of fluidconveying CNTs. It is demonstrated that the widths of the wave frequency and phase velocity behave different at different wavelengths. Besides, the bounds predicted by the probabilistic model are given to verify the present model, and the present model is also validated by comparing with the Monte Carlo simulation. The present model provides some useful guides for using CNTs to convey fluid flows.

show abstract

A comparison of stochastic and interval finite elements applied to shear frames with uncertain stiffness properties

Cited by 50 publications

References 4 publications

Transient response of structures with uncertain structural parameters

Transient response of structures with uncertain structural parameters

Towards Narrowing Unexpected Issues in Future Earthquakes: A Review

Flexural wave propagation in fluid-conveying carbon nanotubes with system uncertainties

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