Inverse structural reliability analysis under mixed uncertainties using high dimensional model representation and fast Fourier transform

Balu, A. S.; Rao, B. N.

doi:10.1016/j.engstruct.2011.12.043

Cited by 23 publications

(9 citation statements)

References 46 publications

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“…This is a difficult task because there are important sources of uncertainty that could lead to over- or under-design solutions. In many practical engineering applications, the distributions of some random variables (Balu and Rao, 2012) may not be precisely known or uncertainties may not be appropriately represented. Eventually, factitious assumptions for distribution of the uncertainties will lead to inaccuracy of results.…”

Section: Literature Reviewmentioning

confidence: 99%

Time-dependent safety performance of reinforced concrete structures

Woju

Balu

2020

JEDT

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Purpose Performance of the structure depends on design, construction, environment, utilization and reliability aspects. Other factors can be controlled by adopting proper design and construction techniques, but the environmental factors are difficult to control. Hence, mostly in practice, the environmental factors are not considered in the analysis and design appropriately; however, their impact on the performance of the structures is significant along with the design life. It is in this light that this paper aims to perform the time-dependent performance analysis of reinforced concrete structures majorly considering environmental factors. Design/methodology/approach To achieve the intended objective, a simply supported reinforced concrete beam was designed and detailed as per the Euro Code (EC2). The time-dependent design parameters, corrosion parameters, creep and shrinkage were identified through thorough literature review. The common empirical equations were modified to consider the identified parameters, and finally, the time-dependent performance of reinforced concrete beam was performed. Findings Findings indicate that attention has to be paid to appropriate consideration of the environmental effect on reinforced concrete structures. In that, the time-dependent performance of reinforced concrete beam significantly decreases with time due to corrosion of reinforcement steel, creep and shrinkage. Originality/value However, the Euro code, Ethiopian code and Indian code threat the exposure condition of reinforced concrete by providing corresponding concrete cover that retards the corrosion initiation time but does not eliminate environmental effects. The results of this study clearly indicate that the capacity of reinforced concrete structure degrades with time due to corrosion and creep, whereas the action on the structure due to shrinkage increases. Therefore, appropriate remedial measures have to be taken to control the defects of structures due to the environmental factors to overcome the early failure of the structure.

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Section: Literature Reviewmentioning

confidence: 99%

Time-dependent safety performance of reinforced concrete structures

Woju

Balu

2020

JEDT

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“…There are also many scientists who have developed new HDMR-based methods that can be used in constructing solutions for several problems in the literature. Some related research areas are multivariate data modelling [22,30,32], reliability analysis [3,4,9], helicopter aeroelastic analysis [19], laminar burning velocity [36], general formulation of HDMR component functions [14,21], random sampling [15], weight optimization [34], sensitivity analysis [37,38], decision-making [7], black-box models [5,25], nonlinear models [6], air quality [12], metamodelling [39], development fragility curves [35], and stochastic dimension reduction [13]. The numerical results of previous studies show that the HDMR philosophy works well for modelling purely and dominantly additive natures while it becomes worse as the multiplicativity dominancy of the problem increases.…”

Section: Introductionmentioning

confidence: 99%

A new approach for multivariate data modelling in orthogonal geometry

Tunga

2014

International Journal of Computer Mathematics

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Decomposing multivariate functions in terms of less variate components such as univariate or bivariate structures is an efficient way to reduce the mathematical and computational complexity of the related problem in computer-based applications. The enhanced multivariance product representation (EMPR) method is an extension to high-dimensional model representation (HDMR) which has a divide-and-conquer philosophy. The EMPR method has some additional structures named as support functions in its expansion when compared with HDMR and we have an important flexibility in selecting these support function structures. This selection process makes the method more successful than HDMR in most cases. In this sense, this work aims to apply the EMPR method to the multivariate data modelling problems having orthogonal geometries. The numerical results also show that the idea of this work is successfully applied to the considered problems and we obtain good representations in data modelling.

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“…In recent years, a large amount of studies on traditional static reliability analysis have been published by the probabilistic model and the non-probabilistic model. Based on the probability theory, several typical methods popularly utilized are as follows: the analytical methods, such as the most probable failure point (MPP)-based methods, which include the first-order reliability method (FORM) and the secondorder reliability method (SORM) [1,2], the simulation or sampling methods (the Monte Carlo simulation, the response surface approximation and the importance sampling technology) [3][4][5] and so forth. However, the applicability conditions of the probabilistic model often may not be sufficiently substantiated for the case of limited sample data, and hence alternative classes of methods based on the non-probabilistic set theory have been investigated.…”

Section: Introductionmentioning

confidence: 99%

Time-variant reliability model and its measure index of structures based on a non-probabilistic interval process

Wang

Chen

et al. 2015

Acta Mech

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The study on reliability of an aging structure requires taking into account the influence of time. Typical approaches for performing time-variant reliability assessment are always based upon the random process model, where the dynamic distributions of uncertain parameters are determined by a substantial number of samples. In this paper, a new time-variant reliability measurement based on a non-probabilistic interval process model is proposed, in which we describe the time-varying uncertain variables at any time as intervals and define the corresponding auto-covariance function and correlation coefficient function to characterize the correlation between limit states at different times. By combining with the set-theory approach and the classical first-passage theory, a new non-probabilistic model of safety evaluation for time-dependent structures is established, and its measure index is then analytically calculated. The proposed model of timevariant reliability is suitable for both the cases of stationary process and non-stationary process. Moreover, the Monte Carlo method is also presented as a means of verification. The comparison between the presented model and the Monte Carlo-based model is eventually carried out on two application examples; the usage, efficiency and accuracy of the developed approach can be demonstrated.

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Inverse structural reliability analysis under mixed uncertainties using high dimensional model representation and fast Fourier transform

Cited by 23 publications

References 46 publications

Time-dependent safety performance of reinforced concrete structures

Time-dependent safety performance of reinforced concrete structures

A new approach for multivariate data modelling in orthogonal geometry

Time-variant reliability model and its measure index of structures based on a non-probabilistic interval process

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