The Numerical Analysis for Parametric Resonance of Multicable System considering Interaction between Adjacent Beam Portions

The investigation aims to propose a refined model to analyze the parametric resonance under multicable systems such as cable-stayed bridges. Considering the interaction between the adjacent beam portions, the shear difference is applied to modify the vibration equations derived from the multi-degree...

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Main Authors: Kefan Chen, Shuanhai He, Yifan Song, Linming Wu, Kang Wang, Hanhao Zhang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2021/6937794
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author Kefan Chen
Shuanhai He
Yifan Song
Linming Wu
Kang Wang
Hanhao Zhang
author_facet Kefan Chen
Shuanhai He
Yifan Song
Linming Wu
Kang Wang
Hanhao Zhang
author_sort Kefan Chen
collection DOAJ
description The investigation aims to propose a refined model to analyze the parametric resonance under multicable systems such as cable-stayed bridges. Considering the interaction between the adjacent beam portions, the shear difference is applied to modify the vibration equations derived from the multi-degree-of-freedom stiffness method. Furthermore, the difference method is adopted to make the equations more accessible for numerical analysis. The comparison results indicate that the refined model exhibits the key character of parametric resonance and also further verified the simulation methods. The consequences show that the cable will resonate at the fundamental frequency under the support excitation. In particular, when resonance occurs, most of the energy in the subsystem is transferred to the cable, resulting in the resonance amplitude of the beam portion being weakened to some certain extent. Moreover, the global resonance will have a sufficient excitation on the local resonance only when the resonance condition is satisfied.
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institution Kabale University
issn 1875-9203
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-f040b3ac52014d8ea3cd18b7c41d06fe2025-02-03T06:06:26ZengWileyShock and Vibration1875-92032021-01-01202110.1155/2021/6937794The Numerical Analysis for Parametric Resonance of Multicable System considering Interaction between Adjacent Beam PortionsKefan Chen0Shuanhai He1Yifan Song2Linming Wu3Kang Wang4Hanhao Zhang5School of HighwaySchool of HighwaySchool of HighwaySchool of HighwaySchool of HighwaySchool of HighwayThe investigation aims to propose a refined model to analyze the parametric resonance under multicable systems such as cable-stayed bridges. Considering the interaction between the adjacent beam portions, the shear difference is applied to modify the vibration equations derived from the multi-degree-of-freedom stiffness method. Furthermore, the difference method is adopted to make the equations more accessible for numerical analysis. The comparison results indicate that the refined model exhibits the key character of parametric resonance and also further verified the simulation methods. The consequences show that the cable will resonate at the fundamental frequency under the support excitation. In particular, when resonance occurs, most of the energy in the subsystem is transferred to the cable, resulting in the resonance amplitude of the beam portion being weakened to some certain extent. Moreover, the global resonance will have a sufficient excitation on the local resonance only when the resonance condition is satisfied.http://dx.doi.org/10.1155/2021/6937794
spellingShingle Kefan Chen
Shuanhai He
Yifan Song
Linming Wu
Kang Wang
Hanhao Zhang
The Numerical Analysis for Parametric Resonance of Multicable System considering Interaction between Adjacent Beam Portions
Shock and Vibration
title The Numerical Analysis for Parametric Resonance of Multicable System considering Interaction between Adjacent Beam Portions
title_full The Numerical Analysis for Parametric Resonance of Multicable System considering Interaction between Adjacent Beam Portions
title_fullStr The Numerical Analysis for Parametric Resonance of Multicable System considering Interaction between Adjacent Beam Portions
title_full_unstemmed The Numerical Analysis for Parametric Resonance of Multicable System considering Interaction between Adjacent Beam Portions
title_short The Numerical Analysis for Parametric Resonance of Multicable System considering Interaction between Adjacent Beam Portions
title_sort numerical analysis for parametric resonance of multicable system considering interaction between adjacent beam portions
url http://dx.doi.org/10.1155/2021/6937794
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