Journal ArticleDOI
Probabilistic Analysis Using High Dimensional Model Representation and Fast Fourier Transform
B. N. Rao,Rajib Chowdhury +1 more
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TLDR
In this paper, the authors present an efficient probabilistic analysis method for predicting component reliability of structural/mechanical systems subject to random loads, material properties, and geometry, which involves High Dimensional Model Representation (HDMR) for the limit state/performance function approximation and fast Fourier transform for solving the convolution integral.Abstract:
This paper presents an efficient probabilistic analysis method for predicting component reliability of structural/mechanical systems subject to random loads, material properties, and geometry. The proposed method involves High Dimensional Model Representation (HDMR) for the limit state/performance function approximation and fast Fourier transform for solving the convolution integral. The limit state/performance function approximation is obtained by linear and quadratic approximations of the first-order HDMR component functions at most probable point. In the proposed method, efforts are required in evaluating conditional responses at a selected input determined by sample points, as compared to full-scale simulation methods. Therefore, the proposed technique estimates the failure probability accurately with significantly less computational effort compared to the direct Monte Carlo simulation. The methodology developed is applicable for structural reliability estimation involving any number of random variabl...read more
Citations
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Journal ArticleDOI
Metamodeling for high dimensional design problems by multi-fidelity simulations
TL;DR: Results show that the proposed hybrid metamodel which combines Cut-HDMR with Co-kriging and kriging is very efficient in approximating high dimensional problems by using multi-fidelity samples, thus making it particularly suitable for high dimensional engineering design problems involving computationally expensive simulations.
Journal ArticleDOI
An enhanced RBF-HDMR integrated with an adaptive sampling method for approximating high dimensional problems in engineering design
TL;DR: A new high dimensional model representation (HDMR) by combining Cut-HDMR with an enhanced RBF based on ensemble model is proposed and is used in the structural design optimization of the bearings of an all-direction propeller with the aim of reducing vibration.
Journal ArticleDOI
Multicut-High Dimensional Model Representation for Structural Reliability Bounds Estimation Under Mixed Uncertainties
A. S. Balu,B. N. Rao +1 more
TL;DR: A novel uncertain analysis method for estimating the bounds on reliability of structural systems involving multiple design points in the presence of mixed uncertain variables, applicable for structural reliability estimation involving any number of fuzzy variables and random variables with any kind of distribution.
Journal ArticleDOI
A Critical Appraisal of Design of Experiments for Uncertainty Quantification
TL;DR: Overall study depicts that SED performs well in predicting the response functions more accurately with an acceptable number of sample points even for high-dimensional problems which maintains the balance between accuracy and efficiency.
Journal ArticleDOI
An adaptive SVR-HDMR model for approximating high dimensional problems
TL;DR: A new form of HDMR is proposed by integrating the SVR with high dimensional model representation (SVR-HDMR) model to obtain accurate metamodels for high dimensional problems with a few sampling points.
References
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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.
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Introduction to Optimum Design
TL;DR: This fourth edition of the introduction to Optimum Design has been reorganized, rewritten in parts, and enhanced with new material, making the book even more appealing to instructors regardless of course level.
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Method for Random Vibration of Hysteretic Systems
TL;DR: In this paper, a new method of modeling and solution of a large class of hysteretic systems (softening or hardening, narrow or wideband) under random excitation is proposed.
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