Linearization of randomly excited nonlinear systems by using local mean square error criterion

The paper presents the analysis of three non-linear systems under random excitation by using Local Mean Square Error Criterion which is an extension of Gaussian Equivalent Linearization proposed by Caughey. The obtained results shows that the new technique allows to get much more accurate solutions...

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Main Author: Luu Xuan Hung
Format: Article
Language:English
Published: Publishing House for Science and Technology 2000-06-01
Series:Vietnam Journal of Mechanics
Online Access:https://vjs.ac.vn/index.php/vjmech/article/view/9969
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author Luu Xuan Hung
author_facet Luu Xuan Hung
author_sort Luu Xuan Hung
collection DOAJ
description The paper presents the analysis of three non-linear systems under random excitation by using Local Mean Square Error Criterion which is an extension of Gaussian Equivalent Linearization proposed by Caughey. The obtained results shows that the new technique allows to get much more accurate solutions than .that using Caughey Criterion. The paper leads out some new conclusions which have not been found yet by the previous researches. The new conclusions more clarify the significance of this technique.
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institution OA Journals
issn 0866-7136
2815-5882
language English
publishDate 2000-06-01
publisher Publishing House for Science and Technology
record_format Article
series Vietnam Journal of Mechanics
spelling doaj-art-75ee4e5c40814e198a828e4e2b37c19a2025-08-20T02:10:39ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822000-06-0122210.15625/0866-7136/9969Linearization of randomly excited nonlinear systems by using local mean square error criterionLuu Xuan Hung The paper presents the analysis of three non-linear systems under random excitation by using Local Mean Square Error Criterion which is an extension of Gaussian Equivalent Linearization proposed by Caughey. The obtained results shows that the new technique allows to get much more accurate solutions than .that using Caughey Criterion. The paper leads out some new conclusions which have not been found yet by the previous researches. The new conclusions more clarify the significance of this technique. https://vjs.ac.vn/index.php/vjmech/article/view/9969
spellingShingle Luu Xuan Hung
Linearization of randomly excited nonlinear systems by using local mean square error criterion
Vietnam Journal of Mechanics
title Linearization of randomly excited nonlinear systems by using local mean square error criterion
title_full Linearization of randomly excited nonlinear systems by using local mean square error criterion
title_fullStr Linearization of randomly excited nonlinear systems by using local mean square error criterion
title_full_unstemmed Linearization of randomly excited nonlinear systems by using local mean square error criterion
title_short Linearization of randomly excited nonlinear systems by using local mean square error criterion
title_sort linearization of randomly excited nonlinear systems by using local mean square error criterion
url https://vjs.ac.vn/index.php/vjmech/article/view/9969
work_keys_str_mv AT luuxuanhung linearizationofrandomlyexcitednonlinearsystemsbyusinglocalmeansquareerrorcriterion