Reliability Analysis of Damaged Beam Spectral Element with Parameter Uncertainties

The paper examines the influence of uncertainty parameters on the wave propagation responses at high frequencies for a damaged beam structure in the structural reliability context. The reliability analyses were performed using the perturbation method, First-Order Reliability Method (FORM), and respo...

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Main Authors: M. R. Machado, J. M. C. Dos Santos
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2015/574846
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author M. R. Machado
J. M. C. Dos Santos
author_facet M. R. Machado
J. M. C. Dos Santos
author_sort M. R. Machado
collection DOAJ
description The paper examines the influence of uncertainty parameters on the wave propagation responses at high frequencies for a damaged beam structure in the structural reliability context. The reliability analyses were performed using the perturbation method, First-Order Reliability Method (FORM), and response surface method (RSM) which were compared with Monte Carlo simulation (MCS) under the spectral element method environment. The simulated results were performed to investigate the effects of material property and geometric uncertainties on the response at high frequency modes, such as the computational efficiency of reliability methods. For the first time, the spectral element method is used in the context of reliability analysis at medium and high frequency bands applied to damage detection. It has shown the effects of parameters uncertainty on the dynamic beam response due on an impulsive load and the robustness of each method. Numerical examples in a bending vibrating beam with random parameters are performed to verify the computational efficiency of the present study.
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institution Kabale University
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publisher Wiley
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series Shock and Vibration
spelling doaj-art-c5c00e31370b44ef93bd7c042160eba62025-02-03T01:02:33ZengWileyShock and Vibration1070-96221875-92032015-01-01201510.1155/2015/574846574846Reliability Analysis of Damaged Beam Spectral Element with Parameter UncertaintiesM. R. Machado0J. M. C. Dos Santos1Department of Computational Mechanics, University of Campinas (UNICAMP), 13083-970 Campinas, SP, BrazilDepartment of Computational Mechanics, University of Campinas (UNICAMP), 13083-970 Campinas, SP, BrazilThe paper examines the influence of uncertainty parameters on the wave propagation responses at high frequencies for a damaged beam structure in the structural reliability context. The reliability analyses were performed using the perturbation method, First-Order Reliability Method (FORM), and response surface method (RSM) which were compared with Monte Carlo simulation (MCS) under the spectral element method environment. The simulated results were performed to investigate the effects of material property and geometric uncertainties on the response at high frequency modes, such as the computational efficiency of reliability methods. For the first time, the spectral element method is used in the context of reliability analysis at medium and high frequency bands applied to damage detection. It has shown the effects of parameters uncertainty on the dynamic beam response due on an impulsive load and the robustness of each method. Numerical examples in a bending vibrating beam with random parameters are performed to verify the computational efficiency of the present study.http://dx.doi.org/10.1155/2015/574846
spellingShingle M. R. Machado
J. M. C. Dos Santos
Reliability Analysis of Damaged Beam Spectral Element with Parameter Uncertainties
Shock and Vibration
title Reliability Analysis of Damaged Beam Spectral Element with Parameter Uncertainties
title_full Reliability Analysis of Damaged Beam Spectral Element with Parameter Uncertainties
title_fullStr Reliability Analysis of Damaged Beam Spectral Element with Parameter Uncertainties
title_full_unstemmed Reliability Analysis of Damaged Beam Spectral Element with Parameter Uncertainties
title_short Reliability Analysis of Damaged Beam Spectral Element with Parameter Uncertainties
title_sort reliability analysis of damaged beam spectral element with parameter uncertainties
url http://dx.doi.org/10.1155/2015/574846
work_keys_str_mv AT mrmachado reliabilityanalysisofdamagedbeamspectralelementwithparameteruncertainties
AT jmcdossantos reliabilityanalysisofdamagedbeamspectralelementwithparameteruncertainties