CURVATURE MATTERS: UNRAVELING THE EARTHQUAKE RESPONSE OF BOX-GIRDER BRIDGES
DOI:
https://doi.org/10.36773/1818-1112-2025-138-3-63-74Keywords:
curved cellular bridges, seismic response, panel element method, finite element method, box girder, box-girder bridgesAbstract
The paper proposes a simpler technique for producing an idealization of curved box-girder type bridge decking under dynamic stresses produced by earthquake related excitation. The analysis focuses on two types of bridge decks with curved cellular structures, examining both single-cell and multiple-cell configurations. This approach may be used to rectangular and trapezoidal box-girder sections with both equal and unequal dimensions of cells. The proposed element “Panel Element (PE)” is coded as Component Element (CE) and has proved to be capable of modeling a full plane panel of a curved cellular deck in its three-dimensional behavior by one element only. For verification purpose and to demonstrate the range of applicability of the new idealization technique, a comparative study was made with the Finite Element Method (FEM), as a standard procedure, used to idealize the box-girder bridge decks. Different configurations of curved box-girder bridge decks are considered to provide a thorough understanding of the dynamic behavior of the curved bridge deck when acted upon by earthquake-based excitation besides the validation purposes. A computer program using (MATLAB R2012b) is specially written using the proposed algorithm of the new idealization technique to evaluate the earthquake analysis results. Comparison was made with those evaluated by the finite element approach using the ready software (ANSYS 12.0) to check the adequacy and suitability of the proposed element in analyzing the box-girder concrete bridge decks. The results showed that the Panel Element Method (PEM) has proved to be valid in estimating the earthquake response for both cases of single and double cell bridge decks, for all the ranges of the aspect ratios; the results obtained by the Panel Element Method (PEM) are acceptable, with an error of less than (12 %) in deflection and less than (18 %) in moments and shear forces for the cases of very large aspect ratios. This research demonstrates the validity of the proposed method "Panel Element Method (PEM)" with wide range of applicability for the dynamic behaviors of free and forced vibration response analysis and the approximate earthquake response analysis of the curved box-girder type of bridge decks of different configurations.
References
Tao, C. A Method to Identify the Critical Seismic Input for Curved Bridges / C. Tao, S. Guan // Civil Eng. – 2023. – Vol. 4. – P. 567–583. – DOI: 10.3390/civileng4020033.
Kahan, M. Influence of Seismic Waves Spatial Variability on Bridges: A Sensitivity Analysis / M. Kahan, R. J. Gibert, P. Y. Bard // Earthquake Eng & Structural Dynamics. – 1996. – Vol. 25 (8). – P. 795–814. – DOI: 10.1002/(SICI)1096-9845(199608)25:8%3C795::AID-EQE582%3E3.0.CO;2-X.
Agarwal, P. Finite element analysis of reinforced concrete curved box-girder bridges / P. Agarwal, P. Pal, P. K. Mehta // Advances in Bridge Engineering. – 2023. – Vol. 4. – DOI: 10.1186/s43251-023-00080-7.
Sextos, A. Effect of Soil-Structure Interaction and Spatial Variability of Ground Motion on Irregular Bridges: The Case of the Krystallopigi Bridge / A. Sextos, A. J. Kappos, P. Mergos // In Proceedings of the 13-th World Conference on Earthquake Engineering, Vancouver, Aug. 1–6, 2004. – Vancouver, 2004. – No. 62298.
Effect of Asynchronous Earthquake Motion on Complex Bridges I: Methodology and Input Motion / N. J. Burdette, A. S. Elnashai, A. Lupoi, A. G. Sextos // Journal of Bridge Engineering. – 2008. – Vol. 13 (2). – P. 158–165. – DOI: 10.1061/(ASCE)1084-0702(2008)13:2(158).
Fangping, L. The Deformation Analysis of the Curved Box Girder Bridges under Different Radius / L. Fangping, Z. Jian-ting // Math Models Methods in Appl Sciences. – 2012. – Vol. 6 (4). – P. 71–76. – DOI: 10.5539/mas.v6n4p71.
Cho, D. Live Load Distribution in Prestressed Concrete Girder Bridges with Curved Slab / D. Cho, S. K. Park, W. Kim // Appl Mech Mater. – 2013. – Vol. 284. – P. 1441–1445. – DOI: 10.4028/www.scientific.net%2FAMM.284-287.1441.
Chen, Y. Random vibration analysis on A curved beam bridge Considering the Seismic Spatial Effect / Y. Chen, J. Wang, X. Li // Eng. Seism. Resist. Reinf. Transform. – 2014. – Vol. 36. – P. 81–87.
Cheng, M. Experimental study on seismic response of irregular high-pier curved bridge under multi-point excitation / M. Cheng, Q. Li, L. Yan, JH. Yin // J. Vib. Eng. – 2016. – Vol. 29. – P. 874–880.
Bahadur, R. Static analysis of singly and doubly curved panels on rectangular plan-form / R. Bahadur, A. K. Upadhyay, K. K. Shukla // Steel & Composite Structures. – 2017. – Vol. 24 (6). – P. 659–670. – DOI: 10.12989/scs.2017.24.6.659.
Li, X. Experimental study on long-span curved rigid frame bridge under near-fault ground motion / X. Li, H. Jia, Q. Li // J. Vib. Shock. – 2017. – Vol. 36. – P. 199–207.
Said, A. Experimental Study for Horizontally Curved Box Girder Bridges with Special Reference to the Live Load Moment Distribution Factor / A. Said, H. Khalaf // J. Assoc. Arab Univ. Basic Appl Sci. – 2018. – Vol. 25. – P. 200–215. – URL: http://jaaru.org/index.php/auisseng/article/download/ 179/137 (date of access: 14.11.2025).
Agarwal, P. Analysis of RC skew box girder bridges / P. Agarwal, P. Pal, PK. Mehta // Int J Sci Innov Eng Tech. – 2019. – Vol. 6. – P. 1–8. – URL: https://www.ijsiet.org/vol62019/1.pdf (date of access: 15.11.2025).
Analysis of The Working Performance of Large Curvature Prestressed Concrete Box Girder Bridges / J. Yuan, L. Luo, Y. Zheng [et al.] // Materials. – 2022. – Vol. 15. – P. 5414. – DOI: 10.3390/ma15155414.
Vibration Characteristics of 3D Curved Cellular Bridges via Panel Element Method / F. A. A. Temimi, A. R. Ahmed, A. H. F. Obaidi, N. A. Yermoshin // Construction of Unique Buildings and Structures. – 2025. – Vol. 2 (116). – P. 11601–11601. – URL: https://unistroy.spbstu.ru/en/article/2025.117.1 (date of access: 15.11.2025).
Geometric parameters affecting seismic fragilities of curved multi-frame concrete box-girder bridges with integral abutments / J. Jeon, R. DesRoches, T. Kim, E. Choi // Engineering Structures. – 2016. – Vol. 122. – P. 121–143. – DOI: 10.1016/J.ENGSTRUCT.2016.04.037.
Seismic design specifications for highway bridges / South Carolina Department of Transportation. – 2008. – 2nd Edition. – URL: https://dc.statelibrary.sc.gov/bitstreams/f9851a6b-c206-4c64-8bb5-871da642b14d/download (date of access: 24.11.2025).
Caltrans. Seismic design criteria / State of California Department of Transportation. – 2025. – Version 2.1. – URL: https://dot.ca.gov/-/media/dot-media/programs/engineering/ documents/seismicdesigncriteria-sdc/202501seismicdesign criteria21a11y.pdf (date of access: 25.10.2025).
Guide Specifications for LRFD Seismic Bridge Design / American Association of State Highway and Transportation OfficialsPublisher. – 2023. – 3rd Edition. – URL: https://www.scribd.com/document/ 849251765/AASHTO-Guide-Specifications-for-LRFD-Seismic-Bridge-Design-3rd-Edition (date of access: 25.10.2025).
Wang, D. Analysis of seismic damage and failure mechanism of curved beam bridge in Wenchuan earthquake / D. Wang, Z. Sun, X. Li // J. Disaster Prev. Mitig. Eng. – 2010. – Vol. 5. – P. 572–579.
Ministry of Housing & Construction. Iraqi Standard Specifications for Road Bridges: Loadings / State Organization of Roads and Bridges, Baghdad. Revised Edition. – 1987. – URL: https://www.scribd.com/ document/712916832/Iraq-Standard-Specifications-For (date of access: 25.10.2025).
Clough, R. W. Dynamics of Structures / R. W. Clough, P. Joseph // Computers & Structures, Inc. – 2003. – 3rd ed. – URL: http://parastesh.usc.ac.ir/files/1538888752479.pdf (date of access: 25.10.2025).
Dilger, W. H. Diaphragms in skew box girder bridges / W. H. Dilger, G. A. Ghoneim // Canadian Journal of Civil Engineering. – 1988. – Vol. 15. – P. 869–878. –DOI: 10.1139/L88-112.
ANSYS. Elements Reference / ANSYS, Inc. and ANSYS Europe, Ltd. – 2025. – Release R1. – URL: https://ansyshelp.ansys.com/ public/Views/Secured/corp/v251/en/pdf/ANSYS_Mechanical_APDL_Element_Reference.pdf (date of access: 25.10.2025).
Temimi, F. A. R. Earthquake Analysis of Curved Cellular Bridges / F. A. R. Temimi // Iraqi digital Repository, University of Baghdad, College of Engineering, Department of Civil Engineering. – 2014. – URL: https://iqdr.iq/search?view=ba8ceedaf306b2202de35a490bd16878 (date of access: 25.10.2025).
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