Journal ArticleDOI
A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis
TLDR
Results indicate that the presented iterative dimension-wise method has a superiority in uncertainty propagation problems of multidisciplinary issues.About:
This article is published in Applied Mathematical Modelling.The article was published on 2018-07-01. It has received 99 citations till now. The article focuses on the topics: Uncertainty analysis & Propagation of uncertainty.read more
Citations
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Journal ArticleDOI
An inverse method for distributed dynamic load identification of structures with interval uncertainties
TL;DR: A time-domain based method for distributed dynamic load identification is proposed in this study considering unknown-but-bounded uncertainties in structural systems and the interval analysis method based on Taylor expansion (IAMBTE) is systematically developed to accomplish the envelope interval of identified load.
Journal ArticleDOI
A novel methodology of reliability-based multidisciplinary design optimization under hybrid interval and fuzzy uncertainties
TL;DR: A new reliability estimation model is proposed based on the level cut strategy and volume ratio theory that is better than the traditional one which is very conservative and can be improved in the framework of SORA.
Journal ArticleDOI
A novel method of distributed dynamic load identification for aircraft structure considering multi-source uncertainties
TL;DR: The results reveal that designer can make a rational tradeoff choice among the cost of sensor placement and the performance of load identification in a systematic framework.
Journal ArticleDOI
Non-probabilistic method to consider uncertainties in frequency response function for vibration-based damage detection using Artificial Neural Network
TL;DR: A combination of a non-probabilistic method with PCA is proposed to consider the problem of the existing uncertainties and the inefficiency of using FRF data in ANN-based damage detection and demonstrates that the proposed method is efficient in dealing with uncertainties usingFRF for damage detection.
Journal ArticleDOI
An iterative dimension-by-dimension method for structural interval response prediction with multidimensional uncertain variables
TL;DR: IDDM seeks the minimum and maximum points of the uncertain variables dimension-by-dimension and updates the nominal value of other uncertain variables through an iterative process and is efficient for structural interval uncertainty analysis, especially for problems with multidimensional uncertain variables.
References
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Journal ArticleDOI
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
TL;DR: This work represents the stochastic processes with an optimum trial basis from the Askey family of orthogonal polynomials that reduces the dimensionality of the system and leads to exponential convergence of the error.
BookDOI
Simulation and the Monte Carlo Method
TL;DR: This book provides the first simultaneous coverage of the statistical aspects of simulation and Monte Carlo methods, their commonalities and their differences for the solution of a wide spectrum of engineering and scientific problems.
Journal ArticleDOI
Simulation and the Monte Carlo Method.
Book
Convex models of uncertainty in applied mechanics
Yakov Ben-Haim,Isaac Elishakoff +1 more
TL;DR: In this paper, the authors present a probabilistic model for convexity in the Euclidean plane and a model of the massless damped spring, which is based on the Euler-Lagrange equations.
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