Research Papers

Effect of Prestress on Bridge–Vehicle Interactions

[+] Author and Article Information
Hai Zhong

Department of Civil and
Environmental Engineering,
North Dakota State University,
Fargo, ND 58108
e-mail: hai.zhong@ndsu.edu

Mijia Yang

Department of Civil and
Environmental Engineering,
North Dakota State University,
Fargo, ND 58108
e-mail: mijia.yang@ndsu.edu

Manuscript received January 28, 2016; final manuscript received October 28, 2017; published online December 12, 2017. Assoc. Editor: Nii Attoh-Okine.

ASME J. Risk Uncertainty Part B 4(3), 031003 (Dec 12, 2017) (7 pages) Paper No: RISK-16-1030; doi: 10.1115/1.4038340 History: Received January 28, 2016; Revised October 28, 2017

Prestress applied on bridges affects the dynamic interaction between bridges and vehicles traveling over them. In this paper, the prestressed bridge is modeled as a beam subjected to eccentric prestress force at the two ends, and a half-vehicle model with four degrees-of-freedom is used to represent the vehicle passing the bridge. A new bridge–vehicle interaction model considering the effect of prestress with eccentricity is developed through the principle of virtual work. The correctness and accuracy of the model are validated with literature results. Based on the developed model, numerical simulations have been conducted using Newmark's β method to study the effects of vehicle speed, eccentricity and amplitude of the prestress, and presence of multiple vehicles. It is shown that prestress has an important effect on the maximum vertical acceleration of vehicles, which may provide a good index for detecting the change of prestress. It is also interesting to find that the later-entering vehicle on the prestressed bridge will largely reduce the maximum vertical acceleration of the vehicle ahead of it.

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Fig. 1

Eccentrically prestressed continuous bridge

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Fig. 2

Half vehicle model

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Fig. 3

Procedure of implementation

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Fig. 4

Bridge–vehicle model adopted from Ref. [3]

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Fig. 5

Midspan displacement of the bridge: present study; Ref. [3]

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Fig. 6

Vertical acceleration of the vehicle: present study; and Ref. [3]

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Fig. 7

(a) Absolute displacement at the middle of the first span; (b) vertical vehicle acceleration; and (c) absolute displacement of the bridge at the front wheel location. Nonprestress; 50% prestress; 80% prestress; 100% prestress. (d) Maximum vehicle vertical acceleration: 10 m/s; 20 m/s; 30 m/s; 40 m/s.

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Fig. 8

(a) Initial deflection of the bridge, (b) displacement at the middle of the first span (V = 20 m/s), (c) vertical acceleration of the vehicle (V = 20 m/s). (2.0S, 0.5e); (1.0S, 1.0e); (0.5S, 2.0e), and (d) Maximum vertical acceleration of the vehicle (V = 20 m/s): prestress; eccentricity

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Fig. 9

(a) Model of multiple vehicles passing the bridge and (b) displacements at the middle of the first span. One vehicle; two vehicles; three vehicles




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