Application of Nakamura’s Model to Describe the Delayed Increase in Lateral Vibration of Footbridges: Fid-Bau Portal

Fachinformationsdienst BAUdigital

A platform for research: civil engineering, architecture and urbanism

Application of Nakamura’s Model to Describe the Delayed Increase in Lateral Vibration of Footbridges

Zhen, Bin / Wong, W. K. / Xu, Jian / Xie, Weiping

Abstract

Nakamura’s model is proposed to describe lateral vibrations of a footbridge induced by pedestrians. The model is found to be a slow-fast system if the number of pedestrians on a footbridge increases slowly. Then, based on the delayed bifurcation theory, Nakamura’s model can be used to describe the delayed increase in the lateral vibration of the footbridge. The critical number of pedestrians on the footbridge is calculated by using the delayed bifurcation theory to quantitatively demonstrate our analysis. By comparison with a previously obtained formula, the rationality of the authors’ formula for predicting the critical number of pedestrians is illustrated. Based on the authors’ formula, the experimental parameter $k = 300$ used in the previously obtained formula does not seem to be always applicable to other bridges. Based on Nakamura’s model, the value of the parameter $k$ seems to be affected mainly by the properties of the pedestrians on the bridge rather than those of the bridge.

Access

Check availability in my library

Order at Subito €

Page navigation

Document information

Export, share and cite

Application of Nakamura’s Model to Describe the Delayed Increase in Lateral Vibration of Footbridges

Zhen, Bin / Wong, W. K. / Xu, Jian / Xie, Weiping

Abstract

Nakamura’s model is proposed to describe lateral vibrations of a footbridge induced by pedestrians. The model is found to be a slow-fast system if the number of pedestrians on a footbridge increases slowly. Then, based on the delayed bifurcation theory, Nakamura’s model can be used to describe the delayed increase in the lateral vibration of the footbridge. The critical number of pedestrians on the footbridge is calculated by using the delayed bifurcation theory to quantitatively demonstrate our analysis. By comparison with a previously obtained formula, the rationality of the authors’ formula for predicting the critical number of pedestrians is illustrated. Based on the authors’ formula, the experimental parameter $k = 300$ used in the previously obtained formula does not seem to be always applicable to other bridges. Based on Nakamura’s model, the value of the parameter $k$ seems to be affected mainly by the properties of the pedestrians on the bridge rather than those of the bridge.

Application of Nakamura’s Model to Describe the Delayed Increase in Lateral Vibration of Footbridges

Zhen, Bin / Wong, W. K. / Xu, Jian / Xie, Weiping

Abstract

Nakamura’s model is proposed to describe lateral vibrations of a footbridge induced by pedestrians. The model is found to be a slow-fast system if the number of pedestrians on a footbridge increases slowly. Then, based on the delayed bifurcation theory, Nakamura’s model can be used to describe the delayed increase in the lateral vibration of the footbridge. The critical number of pedestrians on the footbridge is calculated by using the delayed bifurcation theory to quantitatively demonstrate our analysis. By comparison with a previously obtained formula, the rationality of the authors’ formula for predicting the critical number of pedestrians is illustrated. Based on the authors’ formula, the experimental parameter $k = 300$ used in the previously obtained formula does not seem to be always applicable to other bridges. Based on Nakamura’s model, the value of the parameter $k$ seems to be affected mainly by the properties of the pedestrians on the bridge rather than those of the bridge.

Access

Check availability in my library

Order at Subito €

Page navigation

Document information

Export, share and cite

Document information

Title:

Application of Nakamura’s Model to Describe the Delayed Increase in Lateral Vibration of Footbridges

Contributors:

Zhen, Bin (author) / Wong, W. K. (author) / Xu, Jian (author) / Xie, Weiping (author)

Published in:

Journal of Engineering Mechanics ; 139 ; 1708-1713

Publication date:

2012-12-13

Size:

62013-01-01 pages

ISSN:

0733-9399 , 1943-7889

DOI:

https://doi.org/10.1061/(ASCE)EM.1943-7889.0000579

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Similar titles

Application of Nakamura’s Model to Describe the Delayed Increase in Lateral Vibration of Footbridges

Zhen, Bin | Online Contents | 2013

Pedestrian-induced lateral vibration of footbridges

British Library Online Contents | 2000

Lateral vibration of footbridges by synchronous walking

Nakamura, Shun-ichi / Kawasaki, Toshitsugu | Elsevier | 2006

Lateral vibration of footbridges by synchronous walking

Nakamura, S. i. / Kawasaki, T. | British Library Conference Proceedings | 2006

Bridging the Gap to Synchronized Lateral Vibration of Footbridges

Salem, E. / International Association for Bridge and Structural Engineering | British Library Conference Proceedings | 2012