Nonlinear Stochastic Analysis for Lateral Vibration of Footbridge under Pedestrian Narrowband Excitation

Joint Authors

Yan, Quansheng
Yang, Zheng
Yu, Xiaolin
Bu-yu, Jia

Source

Mathematical Problems in Engineering

Issue

Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2017-07-09

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Civil Engineering

Abstract EN

During the lateral vibration of footbridge, the pedestrian lateral load shows two distinct features: one is the vibration-dependency; another is the narrowband randomness caused by the variability between two subsequent walking steps.

In this case, the lateral vibration of footbridge is actually a complicated, nonlinear stochastic system.

In this paper, a novel nonlinear stochastic model for lateral vibration of footbridge is proposed, in which a velocity-dependent load model developed from Nakamura model is adopted to represent the pedestrian-bridge interaction and the narrowband stochastic characteristic is considered.

The amplitude and phase involved Itô equations are established using the multiscale method.

Based on the maximal Lyapunov exponent derived from these equations, the critical condition for triggering a large lateral vibration can be obtained by solving the stability problem.

The validity of the proposed method is confirmed, based on performing the case studies of two bridges.

Meanwhile, through parameter analysis, the influences of several crucial parameters on the stability of vibration are discussed.

American Psychological Association (APA)

Bu-yu, Jia& Yu, Xiaolin& Yan, Quansheng& Yang, Zheng. 2017. Nonlinear Stochastic Analysis for Lateral Vibration of Footbridge under Pedestrian Narrowband Excitation. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1190873

Modern Language Association (MLA)

Bu-yu, Jia…[et al.]. Nonlinear Stochastic Analysis for Lateral Vibration of Footbridge under Pedestrian Narrowband Excitation. Mathematical Problems in Engineering No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1190873

American Medical Association (AMA)

Bu-yu, Jia& Yu, Xiaolin& Yan, Quansheng& Yang, Zheng. Nonlinear Stochastic Analysis for Lateral Vibration of Footbridge under Pedestrian Narrowband Excitation. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1190873

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1190873