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Research Papers

A Theory Treatment of Pedestrian-Induced Lateral Vibration of Structure

[+] Author and Article Information
Qingshan Yang

School of Civil Engineering,
Chongqing University,
Chongqing 400044, China;
Beijing's Key Laboratory of Structural Wind
Engineering and
Urban Wind Environment,
Beijing 100044, China
e-mail: qshyang@cqu.edu.cn

Yanan Gao

Faculty of Architecture and
Civil Engineering,
Huaiyin Institute of Technology,
Huaian 223001, China
e-mail: gaoyn_edu@sina.com

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received March 25, 2017; final manuscript received November 5, 2017; published online December 19, 2017. Assoc. Editor: Dumitru I. Caruntu.

J. Dyn. Sys., Meas., Control 140(6), 061004 (Dec 19, 2017) (13 pages) Paper No: DS-17-1169; doi: 10.1115/1.4038489 History: Received March 25, 2017; Revised November 05, 2017

The lateral excessive sway motion caused by pedestrian traffic has attracted great public attention in the past decades years. However, the theories about exploring the effect of pedestrian on the lateral dynamic properties of structure are scarce. The new contribution of this paper is that a new pedestrian-structure system is proposed for exploring the effect of human on structural dynamic properties based on a sway assumption. Study shows that pedestrian deteriorates the natural frequency of structure and improves structural damping. The influence tendencies of pedestrian on structure can be supported by measurements. The further parametric study shows that the changes of human dynamic parameters have some evident impacts on structural dynamic performances. For example, the increase of leg damping can trigger an improvement of structural damping capacity. In addition, the walking step frequency closing structural harmonic natural frequency can incur the worst response. The increase of step width deteriorates lateral vibration and structural frequency but can slightly improve structural damping. One of essential reasons influencing structural lateral dynamic properties is the dynamic human system including body mass, damping, stiffness, and its motion behavior such as step frequency. This theory is proposed to analyze how pedestrian alters the lateral dynamic performances on those sensitive structures such as the footbridges or stadium bleachers. For example, how the variation of step width influences the change of natural frequency of structure?

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Figures

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Fig. 1

Diagram of pedestrian-structure system: (a) sagittal plane of pedestrian-structure system and (b) frontal plane of pedestrian-structure system

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Fig. 2

Diagram of GRFs in a three-dimensional space

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Fig. 3

Flowchart of computation procedure

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Fig. 4

Lateral acceleration response of mid-span

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Fig. 5

Spectrum of mid-span acceleration

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Fig. 6

Instantaneous frequency of structure under walking pedestrian

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Fig. 7

Instantaneous damping ratio of structure under walking pedestrian

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Fig. 8

(a) Normalized longitudinal GRF, (b) normalized lateral GRF, and (c) normalized vertical GRF

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Fig. 9

Lateral displacement of COM

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Fig. 10

(a) Axial lengths of bipedal legs and (b) axial velocities of bipedal legs

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Fig. 11

(a) Leg stiffness coefficients and (b) leg damping coefficients

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Fig. 12

Peak acceleration under leg stiffness 15.28 kN/m

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Fig. 13

Peak frequency under leg stiffness 15.28 kN/m

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Fig. 14

Peak damping ratio under leg stiffness 15.28 kN/m

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Fig. 15

Lateral excited impacts under different human masses

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Fig. 16

Peak acceleration under the leg damping ratio 0.026

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Fig. 17

Peak frequency under the leg damping ratio 0.026

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Fig. 18

Peak damping under the leg damping ratio 0.026

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Fig. 19

Lateral excited impacts under different leg stiffness

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Fig. 20

Peak acceleration under the human mass 70 kg

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Fig. 21

Peak frequency under the human mass 70 kg

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Fig. 22

Peak damping ratio under the human mass 70 kg

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Fig. 23

Lateral excited impact under different leg damping ratios

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Fig. 24

Peak acceleration under different step frequencies and step widths

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Fig. 25

Effect of step width on mid-span response

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Fig. 26

Effect of step width on structural frequency

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Fig. 27

Effect of step width on structural damping capacity

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