Numerical analysis of vehicle-bridge coupling vibration concerning nonlinear stress-dependent damping

doi:10.1007/s11709-021-0804-y

Front. Struct. Civ. Eng.

2022, Vol. 16

Issue (2) : 239-249 https://doi.org/10.1007/s11709-021-0804-y

RESEARCH ARTICLE

Numerical analysis of vehicle-bridge coupling vibration concerning nonlinear stress-dependent damping

Pengfei LI^1,², Jinquan ZHANG^1,²(

), Shengqi MEI^2,^3,⁴, Zhenhua DONG^1,², Yan MAO^1,²

¹. Bridge and Tunnel Technology Research Center, Research Institute of Highway, Ministry of Transport, Beijing 100088, China
². National Engineering Laboratory of Bridge Structure Safety Technology, Research Institute of Highway, Ministry of Transport, Beijing 100088, China
³. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
⁴. School of Civil Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, China

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Abstract

Damping is known to have a considerable influence on the dynamic behavior of bridges. The fixed damping ratios recommended in design codes do not necessarily represent the complicated damping characteristics of bridge structures. This study investigated the application of stress-dependent damping associated with vehicle-bridge coupling vibration and based on that investigation proposed the stress-dependent damping ratio. The results of the investigation show that the stress-dependent damping ratio is significantly different from the constant damping ratio (5%) defined in the standard specification. When vehicles travel at speeds of 30, 60, and 90, the damping ratios of the bridge model are 3.656%, 3.658%, and 3.671%, respectively. The peak accelerations using the regular damping ratio are 18.9%, 21.3%, and 14.5% of the stress-dependent damping ratio, respectively. When the vehicle load on the bridge is doubled, the peak acceleration of the mid-span node increases by 5.4 times, and the stress-related damping ratio increases by 2.1%. A corrugated steel-web bridge is being used as a case study, and the vibration response of the bridge is compared with the measured results. The acceleration response of the bridge which was calculated using the stress-dependent damping ratio is significantly closer to the measured acceleration response than that using the regular damping ratio.

Keywords vehicle-bridge vibration system dynamic analysis stress-dependent damping energy dissipation

Corresponding Author(s): Jinquan ZHANG

Just Accepted Date: 19 January 2022 Online First Date: 28 March 2022 Issue Date: 20 April 2022

Cite this article:

Pengfei LI,Jinquan ZHANG,Shengqi MEI, et al. Numerical analysis of vehicle-bridge coupling vibration concerning nonlinear stress-dependent damping[J]. Front. Struct. Civ. Eng., 2022, 16(2): 239-249.

URL:

https://academic.hep.com.cn/fsce/EN/10.1007/s11709-021-0804-y
https://academic.hep.com.cn/fsce/EN/Y2022/V16/I2/239

Fig.1 Three-axle vehicle model.

Tab.1 Parameters of the three-axle vehicles

Fig.2 Sectional dimensions of the box girder with corrugated steel webs (cm).

Fig.3 Model of the box girder with corrugated steel webs.

Fig.4 Calculation steps to determine the stress-related dissipation factors.

Fig.5 The deflections in the mid-span of the bridge obtained from the finite element model and proposed program.

Tab.2 Stress-related damping ratios at different speeds

Fig.6 Midspan acceleration of the bridge for vehicles traveling at 30 km/h.

Fig.7 Midspan acceleration of the bridge for vehicles traveling at 60 km/h.

Fig.8 Midspan acceleration of the bridge for vehicles traveling at 90 km/h.

Fig.9 Midspan acceleration of the bridge for vehicles traveling at 60 km/h.

Fig.10 Midspan deflection of the bridge for vehicles traveling at 60 km/h.

Fig.11 Profile of the box girder with corrugated steel webs (cm).

Fig.12 Sectional dimension of the box girder (cm).

Fig.13 Schematic diagram of the bridge.

Tab.3 Stress-related damping ratios at different speeds

Fig.14 Acceleration response at the midspan of the bridge for vehicles traveling at 10 km/h. (a) Comparison of the measured data and calculated values (constant damping ratio); (b) comparison of the measured data and calculated values (stress-dependent damping ratio).

Fig.15 Acceleration response at the midspan of the bridge for vehicles traveling at 20 km/h. (a) Comparison of the measured data and calculated values (constant damping ratio); (b) comparison of the measured data and calculated values (stress-dependent damping ratio).

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