Research on Probability Density Estimation Method for Random Dynamic Systems

In this paper, the author researches on probability density estimation method for random dynamic systems. It indicate that, the Probability Density Function (PDF) curves and failure probabilities of stochastic systems with disjoint failure domains, multiple design points and discontinuous response a...

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Main Authors: Y.R. Ni, R. Min
Format: Article
Language:English
Published: AIDIC Servizi S.r.l. 2016-08-01
Series:Chemical Engineering Transactions
Online Access:https://www.cetjournal.it/index.php/cet/article/view/4077
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author Y.R. Ni
R. Min
author_facet Y.R. Ni
R. Min
author_sort Y.R. Ni
collection DOAJ
description In this paper, the author researches on probability density estimation method for random dynamic systems. It indicate that, the Probability Density Function (PDF) curves and failure probabilities of stochastic systems with disjoint failure domains, multiple design points and discontinuous response are calculated effectively and accurately. Moreover, the Probability Density Estimation Method (PDEM) has much higher efficiency, and is a potential and general approach to attack the reliability analysis of complicated problems. Subsequently, the uncertainty propagation and dynamic reliability analysis of nonlinear random system under non-stationary excitations are addressed. The first passage failure criterion and stochastic harmonic function of power spectrum density model of non-stationary random process for earthquake action are utilized. The PDEM can achieve efficiently and accurately the dynamic response, transient PDF and reliability of nonlinear systems.
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spelling doaj.art-94bbdc20cb7846f0a82171fa6a38b4512022-12-21T18:14:28ZengAIDIC Servizi S.r.l.Chemical Engineering Transactions2283-92162016-08-015110.3303/CET1651213Research on Probability Density Estimation Method for Random Dynamic SystemsY.R. NiR. MinIn this paper, the author researches on probability density estimation method for random dynamic systems. It indicate that, the Probability Density Function (PDF) curves and failure probabilities of stochastic systems with disjoint failure domains, multiple design points and discontinuous response are calculated effectively and accurately. Moreover, the Probability Density Estimation Method (PDEM) has much higher efficiency, and is a potential and general approach to attack the reliability analysis of complicated problems. Subsequently, the uncertainty propagation and dynamic reliability analysis of nonlinear random system under non-stationary excitations are addressed. The first passage failure criterion and stochastic harmonic function of power spectrum density model of non-stationary random process for earthquake action are utilized. The PDEM can achieve efficiently and accurately the dynamic response, transient PDF and reliability of nonlinear systems.https://www.cetjournal.it/index.php/cet/article/view/4077
spellingShingle Y.R. Ni
R. Min
Research on Probability Density Estimation Method for Random Dynamic Systems
Chemical Engineering Transactions
title Research on Probability Density Estimation Method for Random Dynamic Systems
title_full Research on Probability Density Estimation Method for Random Dynamic Systems
title_fullStr Research on Probability Density Estimation Method for Random Dynamic Systems
title_full_unstemmed Research on Probability Density Estimation Method for Random Dynamic Systems
title_short Research on Probability Density Estimation Method for Random Dynamic Systems
title_sort research on probability density estimation method for random dynamic systems
url https://www.cetjournal.it/index.php/cet/article/view/4077
work_keys_str_mv AT yrni researchonprobabilitydensityestimationmethodforrandomdynamicsystems
AT rmin researchonprobabilitydensityestimationmethodforrandomdynamicsystems