Low energy small solutions of systems of Kirchhoff-type equations on

Low energy-induced vibration has been ignored, which, however, might lead to damage of a structure. The main purpose of this paper is to study the low energy small solution sequence of systems of Kirchhoff-type equations by the variational approaches. Our result shows that the low energy vibration c...

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Main Authors: Xingwei Zhou, Li Yao
Format: Article
Language:English
Published: SAGE Publishing 2019-12-01
Series:Journal of Low Frequency Noise, Vibration and Active Control
Online Access:https://doi.org/10.1177/1461348418820681
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spelling doaj-b51c9f9fd7ab4ce795cba6244b3622c82020-11-25T03:41:19ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462019-12-013810.1177/1461348418820681Low energy small solutions of systems of Kirchhoff-type equations on Xingwei ZhouLi YaoLow energy-induced vibration has been ignored, which, however, might lead to damage of a structure. The main purpose of this paper is to study the low energy small solution sequence of systems of Kirchhoff-type equations by the variational approaches. Our result shows that the low energy vibration can be controlled by setting the parameters and this can be used for optimization of structures under small perturbations, e.g. the bridge vibration under winds.https://doi.org/10.1177/1461348418820681
collection DOAJ
language English
format Article
sources DOAJ
author Xingwei Zhou
Li Yao
spellingShingle Xingwei Zhou
Li Yao
Low energy small solutions of systems of Kirchhoff-type equations on
Journal of Low Frequency Noise, Vibration and Active Control
author_facet Xingwei Zhou
Li Yao
author_sort Xingwei Zhou
title Low energy small solutions of systems of Kirchhoff-type equations on
title_short Low energy small solutions of systems of Kirchhoff-type equations on
title_full Low energy small solutions of systems of Kirchhoff-type equations on
title_fullStr Low energy small solutions of systems of Kirchhoff-type equations on
title_full_unstemmed Low energy small solutions of systems of Kirchhoff-type equations on
title_sort low energy small solutions of systems of kirchhoff-type equations on
publisher SAGE Publishing
series Journal of Low Frequency Noise, Vibration and Active Control
issn 1461-3484
2048-4046
publishDate 2019-12-01
description Low energy-induced vibration has been ignored, which, however, might lead to damage of a structure. The main purpose of this paper is to study the low energy small solution sequence of systems of Kirchhoff-type equations by the variational approaches. Our result shows that the low energy vibration can be controlled by setting the parameters and this can be used for optimization of structures under small perturbations, e.g. the bridge vibration under winds.
url https://doi.org/10.1177/1461348418820681
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AT liyao lowenergysmallsolutionsofsystemsofkirchhofftypeequationson
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