Fatigue Life Assessment of a Plate Girder Bridge Using an Uncoupled Iterative Scheme for Bridge–Vehicle Interaction
Publication: Journal of Bridge Engineering
Volume 28, Issue 2
Abstract
Most commercial software allows moving-load analysis to be performed on finite-element bridge models. However, the available software does not allow the incorporation of the dynamic load induced by vehicles due to vibration resulting from pavement roughness. The present study, aims to utilize an uncoupled iterative scheme to incorporate road roughness into the numerical model in order to overcome this problem. The vehicle-induced stress history obtained using the uncoupled iterative scheme is then used to determine the fatigue life of a plate girder bridge. A fatigue damage model is proposed, which incorporates the load sequence effects and the segregation of load cycles into crack-initiation and propagation stages. Investigation of various influencing parameters reveals the significance of vehicle speed, vehicle arrival time, pavement category, and the eccentricity of the load and girder design variables on the fatigue life of the bridge.
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References
AASHTO. 2010. AASHTO LRFD bridge design specifications. 5th ed. Washington, DC: AASHTO.
Batchelor, B. D., B. E. Hewitt, and P. Csagoly. 1978. “An investigation of the fatigue strength of deck slabs of composite steel/concrete bridges.” Transp. Res. Rec. 1 (664): 153–161. https://onlinepubs.trb.org/Onlinepubs/trr/1978/664/664v1-020.pdf.
Brady, S. P., E. J. O’Brien, and A. Žnidarič. 2006. “Effect of vehicle velocity on the dynamic amplification of a vehicle crossing a simply supported bridge.” J. Bridge Eng. 11 (2): 241–249. https://doi.org/10.1061/(ASCE)1084-0702(2006)11:2(241).
CEN (European Committee for Standardization). 2003. Actions on structures—Part 2: Traffic loads on bridges. Eurocode 1. Brussels, Belgium: CEN.
Chopra, A. K. 2011. Dynamic of structures theory and applications to earthquake engineering. 4th ed., edited by W. J. Hall. Hoboken, NJ: Prentice Hall.
CSiBridge. 2017. Bridge superstructure design. Berkeley, CA: Computers and Structures.
Dowling, N. E. 1972. Fatigue life and inelastic strain response under complex histories for analloy steel. Champaign, IL: Univ. of Illinois at Urbana-Champaign.
Ewing, J. A., and J. C. W. Humphrey. 1903. “The fracture of metals under repeated alternations of stress.” Philos. Trans. R. Soc. London, Ser. A 200: 241–250. https://doi.org/10.1098/rsta.1903.0006.
Fisher, J. W. 1977. Bridge fatigue guide design and details. Chicago: American Institute of Steel Construction.
Frýba, L. 1972. Vibration of solids and structure under moving loads. Prague: Noordhoff International Publishing.
Frýba, L. 1996. Dynamics of railway bridges. London: Thomas Telford.
González, A. 2010. “Vehicle-bridge dynamic interaction using finite element modelling.” In Finite element analysis, edited by D. Moratal. London: InTech.
Hahin, C., J. M. South, J. Mohammadi, and R. K. Polepeddp. 1993. “Accurate and rapid determination of fatigue damage in steel bridges.” J. Struct. Eng. 119 (1): 150–168. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:1(150).
Hwang, E., and A. S. Nowak. 1991. “Simulation of dynamic load for bridges.” J. Struct. Eng. 117 (5): 1413–1434. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:5(1413).
IRC (Indian Road Congress). 2011. Standard specifications and code of practice for road bridges: Section V Steel road bridges. IRC 24. New Delhi: IRC.
IRC (Indian Road Congress). 2015. Standard specifications and code of practice for road bridges: Section VI Composite construction. IRC 22. New Delhi: IRC.
ISO. 1995. Mechanical vibration-road surface profiles reporting measured data. ISO 8608:1995. Geneva: ISO.
Kwon, K., and D. M. Frangopol. 2010. “Bridge fatigue reliability assessment using probability density functions of equivalent stress range based on field monitoring data.” Int. J. Fatigue 32 (8): 1221–1232. https://doi.org/10.1016/j.ijfatigue.2010.01.002.
Lalthlamuana, R., and S. Talukdar. 2017. “Estimation of gross weight, suspension stiffness and damping of a loaded truck from bridge measurements.” Struct. Infrastruct. Eng. 13 (11): 1497–1512. https://doi.org/10.1080/15732479.2017.1295084.
Lin, Y. K. 1976. Probabilistic theory of structural dynamics. Malabar, FL: Krieger Publishing Company.
Lu, X., C. W. Kim, and K. C. Chang. 2020. “Finite element analysis framework for dynamic vehicle-bridge interaction system based on ABAQUS.” Int. J. Struct. Stab. Dyn. 20 (3): 2050034. https://doi.org/10.1142/S0219455420500340.
Lutes, L. D., M. Corazao, S. J. Hu, and J. Zimmerman. 1984. “Stochastic fatigue damage accumulation.” J. Struct. Eng. 110 (11): 2585–2601. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:11(2585).
Maljaars, J. 2020. “Evaluation of traffic load models for fatigue verification of European road bridges.” Eng. Struct. 225: 111326. https://doi.org/10.1016/j.engstruct.2020.111326.
Manson, S. S., and G. R. Halford. 1981. “Practical implementation of the double linear damage rule and damage curve approach for treating cumulative fatigue damage.” Int. J. Fract. 17 (2): 169–192. https://doi.org/10.1007/BF00053519.
Mao, J. X., H. Wang, and J. Li. 2019. “Fatigue reliability assessment of a long-span cable-stayed bridge based on one-year monitoring strain data.” J. Bridge Eng. 24 (1): 05018015. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001337.
Miner, M. A. 1945. “Cumulative damage in fatigue.” J. Appl. Mech. 12 (3): A159–A164. https://doi.org/10.1115/1.4009458.
Moghimi, H., and H. R. Ronagh. 2008. “Development of a numerical model for bridge–vehicle interaction and human response to traffic-induced vibration.” Eng. Struct. 30 (12): 3808–3819. https://doi.org/10.1016/j.engstruct.2008.06.015.
Munse, W. H., and J. E. Stallmeyer. 1962. Fatigue in welded beams and girders. Bulletin No. 315. Washington, DC: Highway Research Board.
Ni, Y. Q., X. W. Ye, and J. M. Ko. 2010. “Monitoring-based fatigue reliability assessment of steel bridges: Analytical model and application.” J. Struct. Eng. 136 (12): 1563–1573. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000250.
Oh, B. H. 1986. “Fatigue analysis of plain concrete in flexure.” J. Struct. Eng. 112 (2): 273–288. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:2(273).
Paris, P., and F. Erdogan. 1963. “A critical analysis of crack propagation laws.” J. Basic Eng. 85 (4): 528–533. https://doi.org/10.1115/1.3656900.
Pillai, A. J., and S. Talukdar. 2021. “Fatigue life estimation of continuous girder bridges based on the sequence of loading.” Struct. Infrastruct. Eng. 17 (7): 990–1006. https://doi.org/10.1080/15732479.2020.1784962.
Piriera, H. S. F. G., D. L. DuQuesnay, A. M. P. DeJesus, and A. L. L. Silva. 2009. “Analysis of variable amplitude fatigue data of the P355NL1 steel using the effective strain range damage model.” J. Pressure Vessel Technol. 131 (5): 1–10. https://doi.org/10.1115/1.3147986.
Rao, V. G., and S. Talukdar. 2003. “Prediction of fatigue life of a continuous bridge girder based on vehicle induced stress history.” Shock Vib. 10 (5–6): 325–338. https://doi.org/10.1155/2003/309413.
Ribeiro, D., B. Costa, L. Cruz, M. Oliveira, V. Alves, P. Montenegro, and R. Calçada. 2021. “Simulation of the dynamic behavior of a centenary metallic bridge under metro traffic actions based on advanced interaction models.” Int. J. Struct. Stab. Dyn. 21 (4): 2150057. https://doi.org/10.1142/S0219455421500577.
Savin, E. 2001. “Dynamic amplification factor and response spectrum for the evaluation of vibrations of beams under successive moving loads.” J. Sound Vib. 248 (2): 267–288. https://doi.org/10.1006/jsvi.2001.3787.
Shinozuka, M. 1971. “Simulation of multivariate and multidimensional random processes.” J. Acoust. Soc. Am. 49 (1B): 357–368. https://doi.org/10.1121/1.1912338.
Sieniawska, R., and P. Śniady. 1990. “Life expectancy of highway bridges due to traffic load.” J. Sound Vib. 140 (1): 31–38. https://doi.org/10.1016/0022-460X(90)90904-E.
Śniady, P. 1984. “Vibration of a beam due to a random stream of moving forces with random velocity.” J. Sound Vib. 97 (1): 23–33. https://doi.org/10.1016/0022-460X(84)90464-4.
Wang, W., L. Deng, and X. Shao. 2016. “Number of stress cycles for fatigue design of simply-supported steel I-girder bridges considering the dynamic effect of vehicle loading.” Eng. Struct. 110: 70–78. https:// doi.org/10.1016/j.engstruct.2015.11.054.
Wirsching, P. H., P. Albrecht, M. Artley-Dean, B. Ellingwood, C. G. Schilling, and N. Zetrtlemoyer. 1982. “Fatigue reliability: Variable amplitude loading.” J. Struct. Eng. Div. 108: 47–69. https://doi.org/10.1061/JSDEAG.0005870.
Xu, L., and W. Zhai. 2019. “A three-dimensional model for train-track–bridge dynamic interactions with hypothesis of wheel–rail rigid contact.” Mech. Syst. Sig. Process. 132: 471–489. https://doi.org/10.1016/j.ymssp.2019.04.025.
Yadav, D., and N. C. Nigam. 1978. “Ground induced non-stationary response of vehicles.” J. Sound Vib. 61 (1): 117–126. https://doi.org/10.1016/0022-460X(78)90046-9.
Yan, D., Y. Luo, N. Lu, M. Yuan, and M. Beer. 2017. “Fatigue stress spectra and reliability evaluation of short-to medium-span bridges under stochastic and dynamic traffic loads.” J. Bridge Eng. 22 (12): 04017102. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001137.
Yen, T. B., I. C. Hodgson, Y. E. Zhou, and B. B. Crudele. 2013. “Bilinear S–N curves and equivalent ranges for fatigue life estimation.” J. Bridge Eng. 18 (1): 26–30. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000325.
Zhang, W., and C. S. Cai. 2012. “Fatigue reliability assessment for existing bridges considering vehicle speed and road surface conditions.” J. Bridge Eng. 17 (3): 443–453. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000272.
Zhao, Z., A. Haldar, and F. L. Breen Jr. 1994. “Fatigue-reliability evaluation of steel bridges.” J. Struct. Eng. 120 (5): 1608–1623. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:5(1608).
Zheng, Y., Z. Cao, P. Guo, P. Gao, and P. Zhang. 2021. “Fatigue performance of steel-concrete composite continuous box girder bridge deck.” Complexity 2021: 6610830. https://doi.org/10.1155/2021/6610830.
Information & Authors
Information
Published In
Journal of Bridge Engineering
Volume 28 • Issue 2 • February 2023
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Feb 19, 2022
Accepted: Sep 14, 2022
Published online: Dec 6, 2022
Published in print: Feb 1, 2023
Discussion open until: May 6, 2023
ASCE Technical Topics:
- Bridge engineering
- Bridge tests
- Bridges
- Bridges (by type)
- Continuum mechanics
- Dynamic loads
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Fatigue (material)
- Fatigue life
- Field tests
- Finite element method
- Girder bridges
- Girders
- Infrastructure
- Material mechanics
- Material properties
- Materials engineering
- Methodology (by type)
- Numerical methods
- Pavements
- Plate girders
- Solid mechanics
- Structural dynamics
- Structural engineering
- Structural members
- Structural systems
- Tests (by type)
- Transportation engineering
- Vehicle loads
- Vehicle-pavement interaction
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