Study on Dynamic Characteristics of an Improved Composite Box Girder with Corrugated Steel Webs
Publication: Journal of Bridge Engineering
Volume 27, Issue 6
Abstract
Composite box girders with corrugated steel webs (CBGCSWs) are used worldwide owing to their light self-weight, high efficiency of prestressing application, and reasonable distribution of shear force and bending moment. An improved composite box girder with corrugated steel webs (ICBGCSWs) has been recently introduced to further reduce the dead weight and improve its durability. Because the innovative ICBGCSW has emerged as a new structure, very few studies have been conducted on its dynamic characteristics. In the present study, a theoretical analysis was first conducted. By comprehensively considering the shear lag effect and the shear deformation of CSWs, the element stiffness matrix of ICBGCSW was derived based on the principle of stationary potential energy. The natural frequencies and mode shapes in vertical bending vibration were calculated via a self-developed software program. The proposed method was verified by comparing the results with finite-element analysis and experimental results. Then, sensitivity studies were performed to investigate the influences of the shear lag and shear deformation on the natural frequencies of vertical bending vibration. Finally, vibration frequencies of the continuous ICBGCSW were calculated, and a general formula for calculating the fundamental frequency of simply supported girders, continuous girders with equal spans, and continuous girders with unequal spans was proposed. The proposed method, being able to consider both the effects of shear lag and shear deformation of the box girder, delivered very good performance in studying the dynamic characteristics of the ICBGCSW, whereas the proposed general formula of fundamental frequency could serve as a good reference for the bridge design in practice.
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Acknowledgments
The authors gratefully acknowledge the financial support from the National Natural Science Foundation of China (Grant Nos. 52008160 and 51868039), the Key Research and Development Program of Gansu Province (20YF3FA039), the Natural Science Foundation of Gansu Province (21JR7RA315), and the Talent Innovation and Entrepreneurship Project of Lanzhou (2021-RC-39).
References
Aggarwal, K., S. Wu, and J. Papangelis. 2018. “Finite element analysis of local shear buckling in corrugated web beams.” Eng. Struct. 162: 37–50. https://doi.org/10.1016/j.engstruct.2018.01.016.
Cao, L., J. Liu, and Y. F. Frank Chen. 2018. “Theoretical and numerical study on the natural frequencies of bridges with corrugated steel webs.” Structures 15: 224–231. https://doi.org/10.1016/j.istruc.2018.07.005.
Chen, Y., J. Dong, Z. Tong, R. Jiang, and Y. Yue. 2020. “Flexural behavior of composite box girders with corrugated steel webs and trusses.” Eng. Struct. 209: 110275. https://doi.org/10.1016/j.engstruct.2020.110275.
Eldib, M. E. A.-H. 2009. “Shear buckling strength and design of curved corrugated steel webs for bridges.” J. Constr. Steel Res. 65 (12): 2129–2139. https://doi.org/10.1016/j.jcsr.2009.07.002.
Elgaaly, M., A. Seshadri, and R. W. Hamilton. 1997. “Bending strength of steel beams with corrugated webs.” J. Struct. Eng. 123 (6): 772–782. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:6(772).
Elkawas, A. A., M. F. Hassanein, and M. H. El-Boghdadi. 2017. “Numerical investigation on the nonlinear shear behaviour of high-strength steel tapered corrugated web bridge girders.” Eng. Struct. 134: 358–375. https://doi.org/10.1016/j.engstruct.2016.12.044.
Feng, Y., L. Jiang, and W. Zhou. 2020. “Improved analytical method to investigate the dynamic characteristics of composite box beam with corrugated webs.” Int. J. Steel Struct. 20 (1): 194–206. https://doi.org/10.1007/s13296-019-00278-4.
Hassanein, M. F., and O. F. Kharoob. 2014. “Shear buckling behavior of tapered bridge girders with steel corrugated webs.” Eng. Struct. 74: 157–169. https://doi.org/10.1016/j.engstruct.2014.05.021.
Huang, Q., Z. Chen, X. Rong, and W. G. Ma. 2013. “Stress analysis and experimental study of preflex trough girder with corrugated steel webs.” Bridge Constr. 43: 42–48.
Ji, W., L. Deng, S. Z. Liu, and P. Z. Lin. 2016. “Study of vertical bending vibration behavior of continuous prestressed concrete box girders with corrugated steel webs.” Adv. Struct. Eng. 19 (6): 953–965. https://doi.org/10.1177/1369433216630461.
Ji, W., K. Luo, and J. Zhang. 2020a. “Computation of deflections for PC box girder bridges with corrugated steel webs considering the effects of shear lag and shear deformation.” Math. Probl. Eng. 2020: 1–12.
Ji, W., K. Luo, W. L. Ma, and M. H. Wang. 2020b. “Parametric analysis of pure bending vertical vibration frequency of composite simple support box girder with corrugated steel webs-steel bottom-concrete top.” J. Vib. Eng. 33 (5): 1053–1061.
Ji, W., and T. Shao. 2021. “Finite element model updating for improved box girder bridges with corrugated steel webs using the response surface method and Fmincon algorithm.” KSCE J. Civ. Eng. 25 (2): 586–602. https://doi.org/10.1007/s12205-020-0591-3.
Jiang, L. Z., X. L. Chai, Y. L. Feng, W. B. Zhou, Y. T. Zhang, and Z. H. Tan. 2018. “Dynamic characteristic study of composite box beam with corrugated webs considering interface slip and shear deformation.” In Vol. 189 of IOP Conf. Series: Earth and Environmental Science, 022015. Bristol, UK: IOP Publishing.
Jiang, R. J., F. T. Kwong Au, and Y. F. Xiao. 2015. “Prestressed concrete girder bridges with corrugated steel webs: Review.” J. Struct. Eng. 141 (2): 04014108. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001040.
Kövesdi, B., B. Jáger, and L. Dunai. 2016. “Bending and shear interaction behavior of girders with trapezoidally corrugated webs.” J. Constr. Steel Res. 121: 383–397. https://doi.org/10.1016/j.jcsr.2016.03.002.
Luo, Q. Z., J. Tang, and Q. S. Li. 2003. “Shear lag analysis of beam-columns.” Eng. Struct. 25 (9): 1131–1138. https://doi.org/10.1016/S0141-0296(03)00061-0.
Ma, C., S. Liu, J. Di, R. Zhang, and L. Li. 2021. “Analysis of pure bending vertical deflection of improved composite box girders with corrugated steel webs.” Adv. Civ. Eng. 2021: 1–13.
Machimdamrong, C., E. Watanabe, and T. Utsunomiya. 2004. “Analysis of corrugated steel web girders by an efficient beam bending theory.” J. Struct. Mech. Earthquake Eng. JSCE 21 (2): 131s–142s: 733/1-69, 21.
Moon, J., H. J. Ko, I. H. Sung, and H. E. Lee. 2015. “Natural frequency of a composite girder with corrugated steel web.” Steel and Composite Structures 18 (1): 255–271. https://doi.org/10.12989/scs.2015.18.1.255.
MOT (Ministry of Transport). 2004. General specifications for design of highway bridges and culverts. JTG D60-2004. Beijing: MOT.
MOT (Ministry of Transport). 2015. General specifications for design of highway bridges and culverts. JTG D60-2015. Beijing: MOT.
Nguyen, N. D., S. R. Han, J. H. Kim, S. N. Kim, and Y. J. Kang. 2012. “Moment modification factors of I-girder with trapezoidal web corrugations under moment gradient.” Thin-Walled Structures 57: 1–12. https://doi.org/10.1016/j.tws.2012.03.016.
Nguyen, N. D., S. R. Han, G. S. Lee, and Y. J. Kang. 2011. “Moment modification factor of I-girder with trapezoidal-web-corrugations considering concentrated load height effects.” J. Constr. Steel Res. 67 (11): 1773–1787. https://doi.org/10.1016/j.jcsr.2011.05.002.
Nie, J. G., Y. J. Zhu, M. X. Tao, C. R. Guo, and Y. X. Li. 2017. “Optimized prestressed continuous composite girder bridges with corrugated steel webs.” J. Bridge Eng. 22 (2): 04016121. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000995.
OMT (Ontario Ministry of Transportation). 1991. Ontario highway bridge design code. 3rd ed. Downsview, ON, Canada: OMT.
Papangelis, J., N. Trahair, and G. Hancock. 2017. “Direct strength method for shear capacity of beams with corrugated webs.” J. Constr. Steel Res. 137: 152–160. https://doi.org/10.1016/j.jcsr.2017.06.007.
Prokić, A., R. Mandić, and M. Vojnić-Purčar. 2015. “Influence of bimoment on the torsional and flexural–torsional elastic stability of thin-walled beams.” Thin-Walled Structures 89: 25–30. https://doi.org/10.1016/j.tws.2014.12.005.
Reissner, E. 1946. “Analysis of shear lag in box beams by the principle of minimum potential energy.” Q. Appl. Math. 4 (3): 268–278. https://doi.org/10.1090/qam/17176.
Samanta, A., and M. Mukhopadhyay. 1999. “Finite element static and dynamic analyses of folded plates.” Eng. Struct. 21 (3): 277–287. https://doi.org/10.1016/S0141-0296(97)90172-3.
Wang, P. Y., M. E. M. Garlock, T. P. Zoli, and S. E. Quiel. 2021. “Low-frequency sinusoids for enhanced shear buckling performance of thin plates.” J. Constr. Steel Res. 177: 106475. https://doi.org/10.1016/j.jcsr.2020.106475.
Wang, Y. M., Y. B. Shao, C. Chen, and U. Katwal. 2020. “Prediction of flexural and shear yielding strength of short span I-girders with concrete-filled tubular flanges and corrugated web-II: Numerical simulation and theoretical analysis.” Thin-Walled Structures 148: 106593. https://doi.org/10.1016/j.tws.2019.106593.
Wu, Y., S. Liu, Y. Zhu, and Y. Lai. 2003. “Matrix analysis of shear lag and shear deformation in thin-walled box beams.” J. Eng. Mech. 129 (8): 944–950. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:8(944).
Yang, Z., M. Yang, X. Rong, and L. Tian. 2021. “Theoretical and numerical study on dynamic characteristics of composite trough girder with corrugated steel webs.” J. Bridge Eng. 26 (3): 04021008. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001689.
Yi, J., H. Gil, K. Youm, and H. Lee. 2008. “Interactive shear buckling behavior of trapezoidally corrugated steel webs.” Eng. Struct. 30 (6): 1659–1666. https://doi.org/10.1016/j.engstruct.2007.11.009.
Zeng, P. 2004. Finite element analysis and application, 302–304. Beijing: Tsinghua Univ.
Zhang, Y. J., P. Huang, J. Di, and X. Zhou. 2008. “Free vibration characteristics and experiment study of composite box girder with corrugated steel webs.” J. Traffic Transp. Eng. 5: 76–80.
Zhang, Y., L. Jiang, W. Zhou, and Y. Feng. 2020. “Shear lag effect and accordion effect on dynamic characteristics of composite box girder bridge with corrugated steel webs.” Applied Sciences 10 (12): 4346. https://doi.org/10.3390/app10124346.
Zheng, S. M., L. Ma, and S. Wan. 2014. “Analysis on effects of externally prestressed tendons on vibration frequency of box girder with corrugated steel webs.” J. Southeast Univ. (Nat. Sci. Ed.) 44 (1): 140–144.
Zhou, C., L. Li, and L. Wang. 2019. “Improved softened membrane model for prestressed composite box girders with corrugated steel webs under pure torsion.” J. Constr. Steel Res. 153: 372–384. https://doi.org/10.1016/j.jcsr.2018.10.023.
Zhou, M., and S. Li. 2021. “Shear performance of tapered beams with concrete flanges and corrugated steel webs: Theory, experiments, and numerical simulations.” J. Struct. Eng. 147 (7): 04021085.
Zhou, M., Z. Liu, J. Zhang, L. An, and Z. He. 2016. “Equivalent computational models and deflection calculation methods of box girders with corrugated steel webs.” Eng. Struct. 127: 615–634. https://doi.org/10.1016/j.engstruct.2016.08.047.
Zhu, L., H. Wang, B. Han, G. Zhao, X. Huo, and X. Ren. 2020. “Dynamic analysis of a coupled steel-concrete composite box girder bridge-train system considering slip and shear-lag.” Thin-Walled Structures 157 (6): 107060. https://doi.org/10.1016/j.tws.2020.107060.
Zhu, Y., S. Wan, K. Shen, P. Zhou, and X. Wang. 2021. “Theoretical study on the nonlinear performance of single-box multi-cell composite box-girder with corrugated steel webs under pure torsion.” J. Constr. Steel Res. 178: 106487. https://doi.org/10.1016/j.jcsr.2020.106487.
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Published In
Journal of Bridge Engineering
Volume 27 • Issue 6 • June 2022
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© 2022 American Society of Civil Engineers.
History
Received: Aug 17, 2021
Accepted: Feb 14, 2022
Published online: Apr 6, 2022
Published in print: Jun 1, 2022
Discussion open until: Sep 6, 2022
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Cited by
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