A Suspension Footbridge Model under Crowd-Induced Lateral Excitation
In this paper, a plane pendulum model is proposed to investigate the lateral vibration of a suspension bridge under crowd excitation. The plane model consists of two strings and a rigid body, which represent cables and the bridge deck, respectively. The lateral force induced by crowd is expressed as...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/8058191 |
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| _version_ | 1832548340115439616 |
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| author | Lijun Ouyang Bin Ding Tingting Li Bin Zhen |
| author_facet | Lijun Ouyang Bin Ding Tingting Li Bin Zhen |
| author_sort | Lijun Ouyang |
| collection | DOAJ |
| description | In this paper, a plane pendulum model is proposed to investigate the lateral vibration of a suspension bridge under crowd excitation. The plane model consists of two strings and a rigid body, which represent cables and the bridge deck, respectively. The lateral force induced by crowd is expressed as a cosine function with random phase. Comparing with other existing pedestrian-footbridge interaction models, the proposed model has two features: one is that the structural characteristics of the suspension bridge are taken into account. The other is that the expression of the lateral force induced by crowd has a unified form for different lateral bridge amplitudes. By numerically analyzing the solution stability of the plane model, we exhibit the whole changing process how a suspension bridge increases its lateral amplitude from small to large. It is shown that the worst case occurs when the lateral natural frequency of the bridge is half the lateral step frequency of the pedestrians. Based on the analysis results, the plane pendulum model can be easily used to explain why the central span of the London Millennium Bridge has large lateral oscillations at about 0.48 Hz. |
| format | Article |
| id | doaj-art-9ace05346593467fa410f8dd39b6a361 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-9ace05346593467fa410f8dd39b6a3612025-02-03T06:14:17ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/80581918058191A Suspension Footbridge Model under Crowd-Induced Lateral ExcitationLijun Ouyang0Bin Ding1Tingting Li2Bin Zhen3School of Environment and Architecture, University of Shanghai for Science and Technology, Shanghai 200093, ChinaDepartment of Civil Engineering, Wenzhou Vocation and Technical College, Wenzhou 325035, ChinaSchool of Environment and Architecture, University of Shanghai for Science and Technology, Shanghai 200093, ChinaSchool of Environment and Architecture, University of Shanghai for Science and Technology, Shanghai 200093, ChinaIn this paper, a plane pendulum model is proposed to investigate the lateral vibration of a suspension bridge under crowd excitation. The plane model consists of two strings and a rigid body, which represent cables and the bridge deck, respectively. The lateral force induced by crowd is expressed as a cosine function with random phase. Comparing with other existing pedestrian-footbridge interaction models, the proposed model has two features: one is that the structural characteristics of the suspension bridge are taken into account. The other is that the expression of the lateral force induced by crowd has a unified form for different lateral bridge amplitudes. By numerically analyzing the solution stability of the plane model, we exhibit the whole changing process how a suspension bridge increases its lateral amplitude from small to large. It is shown that the worst case occurs when the lateral natural frequency of the bridge is half the lateral step frequency of the pedestrians. Based on the analysis results, the plane pendulum model can be easily used to explain why the central span of the London Millennium Bridge has large lateral oscillations at about 0.48 Hz.http://dx.doi.org/10.1155/2019/8058191 |
| spellingShingle | Lijun Ouyang Bin Ding Tingting Li Bin Zhen A Suspension Footbridge Model under Crowd-Induced Lateral Excitation Shock and Vibration |
| title | A Suspension Footbridge Model under Crowd-Induced Lateral Excitation |
| title_full | A Suspension Footbridge Model under Crowd-Induced Lateral Excitation |
| title_fullStr | A Suspension Footbridge Model under Crowd-Induced Lateral Excitation |
| title_full_unstemmed | A Suspension Footbridge Model under Crowd-Induced Lateral Excitation |
| title_short | A Suspension Footbridge Model under Crowd-Induced Lateral Excitation |
| title_sort | suspension footbridge model under crowd induced lateral excitation |
| url | http://dx.doi.org/10.1155/2019/8058191 |
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