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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Bibliographic Details
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
Description
Summary: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.
ISSN:1461-3484
2048-4046