TECHNICAL PAPERS
Mar 1, 2005

Swaying of Pedestrian Bridges

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Publication: Journal of Bridge Engineering
Volume 10, Issue 2

Abstract

The paper considers nonlinear (autoparametric) resonance in footbridges as a reason for excessive lateral vibrations induced by walking pedestrians. To describe the above-mentioned phenomenon, a physical model (an elastic pendulum) is proposed. Under the special frequency conditions (the ratio between frequencies of vertical and lateral beam modes is about 2, or 2:1), nonlinear resonance becomes possible if a vertically excited mode is near a primary resonance and a load parameter (a static displacement caused by pedestrians) is equal or more than its critical value. When the increasing load parameter passes through the critical value, a jump phenomenon is observed for the lateral mode and the vertical mode is saturated. Swaying of pedestrian bridges can be treated as a two-step process. The first step (achievement of the jump phenomenon), described in the paper, is the condition for the beginning of the second step—the process of interaction between applied forces and the lateral mode of vibration.

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References

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Information & Authors

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Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 10Issue 2March 2005
Pages: 142 - 150

History

Received: Jan 23, 2002
Accepted: Mar 23, 2004
Published online: Mar 1, 2005
Published in print: Mar 2005

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Alexander N. Blekherman
Retired, 721 Avenue X, Brooklyn, NY 11235.

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