َAnalytical study on the dynamic response of a vertically single-span arch bridge due to passing vehicle

Document Type : Original Article

Authors

1 Department of Civil and Environmental Engineering Shahrood University of Technology, Shahrood, Iran

2 Department of civil engineering, Shahrood University of Technology, Shahrood, Iran

Abstract

This paper investigates the dynamic response of the vertical arch bridge due to the moving vehicle. These responses include the record of vertical, horizontal displacements, and the rotation of various points of a single-span arch bridge. Moreover, the reference points were positioned at one-quarter, half, and three-quarters of the bridge span length. Considering the complicated behavior of these structures, field experiments are essential to assess their behavior. However, it is impossible to perform field experiments for every type of these structures due to their diversity. Therefore, accurate simulation seems essential to study their behavior. Accordingly, the Finite Element Method (FEM) has been employed to model the bridge structure. Primarily, the modeling was coded using FEM in MATLAB software, furthermore, the bridge-vehicle interaction model was applied, then the effect of arch radius modifications on bridge parameters was examined. Validation was carried out in two methods. The first included the modeling of the bridge in finite element software and a comparison of the modes shape and frequency of the first three modes with the results of the modeling and The second, compared the time history responses of displacement in the middle of the bridge and the degree of freedom of vehicle in the present study with previous prominent studies. The results of validation showed appropriate consistency, which confirmed the modeling. According to the results of the present study, by increasing the curvature radius of the beams, the vertical displacement in the middle of their spans increases. Furthermore, by reducing the curvature radius of the beams, the horizontal displacement of the middle of its span increases, which shows the reverse result compared to the vertical displacement. Moreover, the advantages of the presented study include simplicity, appropriate accuracy, and practicality in the monitoring of bridge health.

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References

[1]
Deng L and Wang F (2015). “Impact factors of simply supported prestressed concrete girder bridges due to vehicle braking.” Journal of Bridge Engineering, 20(11): 1-6.
[2]
Neves SGM, Azevedo AFM, and Calçada R., (2012). “A direct method for analyzing the vertical vehicle–structure interaction.” Engineering Structures, 34: 414-420.
[3]
Tanuja V and Animesh C (2017). “Vibration of road bridges under moving vehicles: a comparative study between the single contact point and two contact point models.” Transactions of the Canadian Society for Mechanical Engineering, 41(1): 99-111.
[4]
Yang YB and Yau JD (1997). “Vehicle-bridge interaction element for dynamic analysis.” Journal of Structural Engineering, 123(11): 1512-1518.
[5]
Yang, Y. B, Lin, C. W and Yau, J. D. (2004) "Extracting bridge frequencies from the dynamic response of a passing vehicle." Journal of Sound and Vibration, vol. 272, no. 3-5, p. 471493
[6]
Reis M and Pala Y (2009). Dynamic response of a slightly curved bridges under moving mass loads. The Baltic Journal of Road and Bridge Engineering, 4(3): 143-148.
[7]
Yang F, Sedaghati R, and Esmailzadeh E (2008). Free in-plane vibration of general curved beams using finite element method. Journal of Sound and Vibration, 318(4-5): 850-867.
[8]
Yang, F., Sedaghati, R., and Esmailzadeh, E. (2009). Vibration suppression of non-uniform curved beams under random loading using optimal tuned mass damper. Journal of Vibration and Control, 15(2): 233-261.
[9]
Esmailzadeh, E. and Ghorashi, M., (1995). “Vibration analysis of beams traversed by uniform partially distributed moving masses”. J Sound Vibr 184, pp. 9-17.
[10]
Yang, Y.-B., Wu, C.-M., and Yau J.-D., (2001). “Dynamic response of a horizontally curved beam subjected to vertical and horizontal moving loads”, Journal of Sound and vibration 242(3), pp. 519-537.
[11]
Wu, J.-S., Chiang, L.-K.,(2003). “Out-of-plane responses of a circular curved Timoshenko beam due to a moving load”, International Journal of Solids and Structures 40, pp. 7425–7448.
[12]
Lou P., Dai G.L., and Zeng Q.Y., (2006). “Finite element analysis for a Timoshenko beam subjected to a moving mass”. IMechE, Part C, Journal of Mechanical Engineering Science, 220(5), pp. 669-678.
[13]
Nikkhoo A., Rofooei F.R. and Shadnam M.R., (2007). Dynamic behavior and modal control of beams under moving mass. Sound and Vibration, 306(3-5), pp. 712-724.
[14]
Kahya V. and Mosallam A.S., (2011). Dynamic analysis of composite sandwich beams under moving mass. Journal of Engineering Sciences, pp. 18-25.
[15]
Dai, J., Ang, K.-K., (2014). Steady-state response of a curved beam on a viscously damped foundation subjected to a sequence of moving loads, Proc IMechE Part F, J Rail, and Rapid Transit, 0(0) 1–20.
[16]
Sheng G. G., Wang X., (2017). The geometrically nonlinear dynamic responses of simply supported beams under moving loads, Applied Mathematical Modelling, 48, pp. 183-195.
[17]
Li, S.H. and Ren, J.Y., (2018). Analytical study on dynamic responses of a curved beam subjected to three-directional moving loads, Applied Mathematical Modelling, https://doi.org/10.1016/j.apm.2018.02.006.
[18]
Sarparast H., Ebrahimi-Mamaghani A., (2019).” Vibrations of laminated deep curved beams under moving loads”, Composite Structures,  https://doi.org/10.1016/j.compstruct.2019.111262
[19]
Freidani M.. Hosseini M., (2020). “ Elasto-dynamic Response Analysis of a Curved Composite Sandwich Beam Subjected to the Loading of a Moving Mass”, Mechanics of Advanced Composite Structures 7 -347 – 354
[20]
Yang, Y. B, Lin, C. W and Yau, J. D. (2004) "Extracting bridge frequencies from the dynamic response of a passing vehicle." Journal of Sound and Vibration, vol. 272, no. 3-5, p. 471493
[21]
 Yang, Y. B., and Lin, C. W. (2005), “Vehicle-bridge interaction dynamics and potential applications.” J. Sound Vib. 284(1–2), 205–226.
[22]
Lin, C. W., and Yang, Y. B. (2005). “Use of a passing vehicle to scan the bridge frequencies - An experimental verification.” Eng. Struct. 27(13), 1865–1878

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History

  • Receive Date: 03 November 2021
  • Revise Date: 04 July 2022
  • Accept Date: 30 July 2022

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