Stochastic Finite Element Analysis using Polynomial Chaos
This paper presents a procedure of conducting Stochastic Finite Element Analysis using Polynomial Chaos. It eliminates the need for a large number of Monte Carlo simulations thus reducing computational time and making stochastic analysis of practical ...
Drakos S., Pande G.N.
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Data-driven sparse polynomial chaos expansion for models with dependent inputs
Polynomial chaos expansions (PCEs) have been used in many real-world engineering applications to quantify how the uncertainty of an output is propagated from inputs by decomposing the output in terms of polynomials of the inputs.
Zhanlin Liu, Youngjun Choe
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Projection Pursuit Adaptation on Polynomial Chaos Expansions
The present work addresses the issue of accurate stochastic approximations in high-dimensional parametric space using tools from uncertainty quantification (UQ). The basis adaptation method and its accelerated algorithm in polynomial chaos expansions (PCE) were recently proposed to construct low-dimensional approximations adapted to specific quantities
Xiaoshu Zeng, Roger Ghanem
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A conditional stochastic projection method applied to a parametric vibrations problem
Parametric vibrations can be observed in cable-stayed bridges due to periodic excitations caused by a deck or a pylon. The vibrations are described by an ordinary differential equation with periodic coefficients.
Wlodzimierz Brzakala, Aneta Herbut
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MECHANICAL STRUCTURAL RELIABILITY ANALYSIS BASED ON POLYNOMIAL CHAOS EXPANSIONS
Reliability is one of important index in the analysis and evaluation of mechanical structure. Aiming at the problems of various failure modes and low efficiency of reliability evaluation for complex mechanical structures, the reliability analysis method ...
WANG ZhiMing +4 more
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Vehicle parameter sensitivity with polynomial chaos
It is interesting to analyze the parameter sensitivity of mathematical models that describe physical systems, and it deserves particular attention the sensitivity study of models with uncertainty in the parameter values.
Eduardo Haro +2 more
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From wind to loads: wind turbine site-specific load estimation with surrogate models trained on high-fidelity load databases [PDF]
We define and demonstrate a procedure for quick assessment of site-specific lifetime fatigue loads using simplified load mapping functions (surrogate models), trained by means of a database with high-fidelity load simulations.
N. Dimitrov +3 more
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A Flexible Polynomial Expansion Method for Response Analysis with Random Parameters
The generalized Polynomial Chaos Expansion Method (gPCEM), which is a random uncertainty analysis method by employing the orthogonal polynomial bases from the Askey scheme to represent the random space, has been widely used in engineering applications ...
Rugao Gao, Keping Zhou, Yun Lin
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The problem of characterizing the sensitivity indices of structural performance considering random and interval uncertainty variables simultaneously is analyzed.
Chan Qiu +3 more
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Identification of ground anchors reliability based on acceptance tests and the polynomial chaos expansion method [PDF]
The paper presents a reliability analysis of ground anchors based on acceptance tests and the polynomial chaos expansion method. First of all, it was estimated the probability of meeting the requirements of acceptance tests based on anchor tests realised
Marek Wyjadłowski +3 more
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