Research Papers

Finite Element Analysis of Pedestrian-Bridge Dynamic Interaction

[+] Author and Article Information
J. W. Qin

School of Civil Engineering,
Beijing Jiaotong University,
No. 3 Shang Yuan Cun,
Hai Dian District,
Beijing 100044, China

S. S. Law

Department of Civil and
Environmental Engineering,
The Hong Kong Polytechnic University,
Hunghom, Kowloon,
Hong Kong, China
e-mail: cesslaw@inet.polyu.edu.hk

Q. S. Yang


N. Yang

School of Civil Engineering,
Beijing Jiaotong University,
No. 3 Shang Yuan Cun,
Hai Dian District,
Beijing 100044, China

Manuscript received November 8, 2011; final manuscript received June 23, 2013; accepted manuscript posted July 16, 2013; published online September 23, 2013. Assoc. Editor: Wei-Chau Xie.

J. Appl. Mech 81(4), 041001 (Sep 23, 2013) (15 pages) Paper No: JAM-11-1424; doi: 10.1115/1.4024991 History: Received November 08, 2011; Revised June 23, 2013; Accepted June 29, 2013

The pedestrian-bridge dynamic interaction problem in the vertical direction based on a bipedal walking model and damped compliant legs is presented in this work. The classical finite element method, combined with a moving finite element, represents the motion of the pedestrian in the dynamic analysis of a footbridge. A control force is provided by the pedestrian to compensate for the energy loss due to the system damping in walking and to regulate the walking performance of the pedestrian. The effects of leg stiffness, the landing angle of attack, the damping ratio of the leg and the mass ratio of the human and structure are investigated in the numerical studies. Simulation results show that the dynamic interaction will increase with a larger vibration level of the structure. More external energy must be input to maintain steady walking and uniform dynamic behavior of the pedestrian in the process. The simple bipedal walking model could well describe the human-structure dynamic interaction.

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Fig. 1

Schematic of the biomechanical walking model (θ0 is the angle of attack)

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Fig. 2

Finite element discretization of a beam subjected to a pedestrian: (a) a beam subjected to a pedestrian, and (b) the nodal forces and displacements of the ith and jth beam elements

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Fig. 3

Free body diagrams for the components of the HSI system

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Fig. 4

Box-section girder structure

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Fig. 5

Reaction force on rigid ground

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Fig. 6

Acceleration at the midspan of the simply supported beam

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Fig. 7

Displacement of the CoM in walking

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Fig. 8

Acceleration of the CoM in walking

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Fig. 9

Beam reaction force generated in walking on a rigid beam

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Fig. 10

Acceleration spectrum at the midspan of the simply supported beam

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Fig. 11

Box-section girder structure

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Fig. 12

Acceleration at the midspan of the simply supported beam

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Fig. 13

Beam reaction force generated in walking on a flexible beam

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Fig. 14

Effect of leg stiffness on the dynamic response of the structure

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Fig. 15

Step frequencies in walking on a beam corresponding to the angle θ0 = 68 deg

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Fig. 16

Beam reaction force generated in the resonance case

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Fig. 17

Control force in walking in the resonance case

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Fig. 18

Effect of the mass ratio on the dynamic response of the beam

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Fig. 19

Effect of the damping ratio of the leg on the dynamic response of the beam



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