Uncertainty quantification and propagation analysis of structures based on measurement data

Wang, Xiaojun; Wang, Lei

doi:10.1016/j.mcm.2011.06.060

Cited by 52 publications

(15 citation statements)

References 7 publications

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“…In Eq. (16), the interval width is determined as: (19) "n," being the uncertainty percentage factor of any interval value, is calculated using a sub-interval value:…”

Section: Interval Analysismentioning

confidence: 99%

“…As a result of their study, calculated buckling load values were stayed in lower and upper bounds, while the load values were different for same concrete strength values using different code formula. Wang and Wang [19] studied interval estimation with regard to the uncertain structural parameters. The uncertainty propagation analysis for the structural responses was implemented based on the quantification results of the uncertain structural parameters.…”

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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“…In Eq. (16), the interval width is determined as: (19) "n," being the uncertainty percentage factor of any interval value, is calculated using a sub-interval value:…”

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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“…The fuzzy set describes uncertainties with some membership functions, which to some extent are a subjective choice. The interval set and ellipsoid convex model depict uncertainties only with the knowledge of bounds of the uncertain parameters, which can be obtained by a small set of samples . The ellipsoid convex model and its application in NRBTO and RTO have been well studied.…”

Section: Introductionmentioning

confidence: 99%

Truss layout design under nonprobabilistic reliability‐based topology optimization framework with interval uncertainties

Wang

Liu

Yang

2019

Numerical Meth Engineering

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Summary A nonprobabilistic reliability‐based topology optimization (NRBTO) method for truss structures with interval uncertainties (or unknown‐but‐bounded uncertainties) is proposed in this paper. The cross‐sectional areas of levers are defined as design variables, while the material properties and external loads are regard as interval parameters. A modified perturbation method is applied to calculate structural response bounds, which are the prerequisite to obtain structural reliability. A deviation distance between the current limit state plane and the objective limit state plane, of which the expression is explicit, is defined as the nonprobabilistic reliability index, which serves as a constraint function in the optimization model. Compared with the deterministic topology optimization problem, the proposed NRBTO formulation is still a single‐loop optimization problem, as the reliability index is explicit. The sensitivity results are obtained from an analytical approach as well as a direct difference method. Eventually, the NRBTO problem is solved by a sequential quadratic programming method. Two numerical examples are used to testify the validity and effectiveness of the proposed method. The results show significant effects of uncertainties to the topology configuration of truss structures.

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“…This problem is common in several engineering sectors, such as, for instance, in the field of risk assessment [8][9][10] and structural reliability [11][12][13][14]. In these sectors, the concept of epistemic (rather than aleatory) uncertainty as well as the use of nonprobabilistic approaches has been introduced several years ago, with the objective of properly managing the aforesaid lack (of) and/or imprecise knowledge.…”

Section: Introductionmentioning

confidence: 99%

A Possibilistic Approach for the Prediction of the Risk of Interference between Power and Signal Lines Onboard Satellites

Toscani

Grassi

Spadacini

et al. 2018

Mathematical Problems in Engineering

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This work presents a hybrid random/fuzzy approach for uncertainty quantification in electromagnetic modelling, which combines probability and possibility theory in order to properly account for both aleatory and epistemic uncertainty, respectively. In particular, a typical intrasystem electromagnetic-compatibility problem in aerospace applications is considered, where some parameters are affected by fabrication tolerances or other kinds of randomness (aleatory uncertainty) and others are inherently deterministic but unknown due to human's lack of knowledge (epistemic uncertainty). Namely, a differential-signal line in a satellite is subject to crosstalk due to a nearby dc power line carrying conducted emissions generated by a dc-dc converter in a wide frequency range (up to 100 MHz). The nonideal features of the signal line (e.g., weak unbalance of terminal loads) are treated as random variables (RVs), whereas the mutual position of signal and power line is characterized by possibility theory through suitable fuzzy variables. Such a hybrid approach allows deriving a general and exhaustive description of uncertainty of the target variable of interest, that is, the differential noise voltage induced in the signal line. The obtained results are compared versus a conventional Monte Carlo simulation where all parameters are treated as RVs, and the advantages of the proposed approach (in terms of completeness and richness of information gained about sensitivity of results) are highlighted.

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Uncertainty quantification and propagation analysis of structures based on measurement data

Cited by 52 publications

References 7 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

Truss layout design under nonprobabilistic reliability‐based topology optimization framework with interval uncertainties

A Possibilistic Approach for the Prediction of the Risk of Interference between Power and Signal Lines Onboard Satellites

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