Technical Papers
Nov 10, 2021

FEM-Based Shape-Finding and Force-Assessment of Suspension Bridges via Completed Loop Adjustment

Publication: Journal of Bridge Engineering
Volume 27, Issue 1

Abstract

Finding the main cable shape is an essential step in the design and construction of suspension bridges. In this paper, shape-finding and force-assessment of suspension bridges based on loop adjustment are proposed and realized via the finite-element method. Here, loop adjustment refers to the process where the appropriate adjustment coefficient is chosen based on the results of the last modeling and deviations from the design goals to approach the target main cable shape gradually and to satisfy the design requirements. This method adopts a full-bridge model, which provides the comprehensive account of interactions between different components of the suspension bridge, including towers and stiffening girders, as well as the effect of tower compression and splay saddle rotation. Based on the full-bridge model in the completed bridge state, the inverted removal method is used for the calculation of key construction parameters in the free cable state, such as prebias of tower saddles, predeflected angle of splay saddles, and installation position of cable clamps. The proposed method’s feasibility and effectiveness are verified by its application to two particular suspension bridges, namely, the Great Belt Bridge (Denmark) with a main span of 1,624 m and the Jindong Bridge over the Jinsha River (China), with a main span of 730 m. Results of shape-finding and force-assessment both have good accuracy, which are generally consistent with those obtained by other methods.

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Acknowledgments

The research described in this paper was financially supported by the National Natural Science Foundation of China (Grant Nos. 52078134 and 51678148), the Natural Science Foundation of Jiangsu Province (Grant No. BK20181277), and the National Key R&D Program of China (Grant No. 2017YFC0806009), which are gratefully acknowledged.

References

Adanur, S., M. Günaydin, A. C. Altunişik, and B. Sevim. 2012. “Construction stage analysis of Humber Suspension Bridge.” Appl. Math. Model. 36 (11): 5492–5505. https://doi.org/10.1016/j.apm.2012.01.011.
Cao, H. Y., X. D. Qian, Z. J. Chen, and H. P. Zhu. 2017a. “Layout and size optimization of suspension bridges based on coupled modelling approach and enhanced particle swarm optimization.” Eng. Struct. 146 170–183. https://doi.org/10.1016/j.engstruct.2017.05.048.
Cao, H. Y., Y.-L. Zhou, Z. J. Chen, and M.-A. Wahab. 2017b. “Form-finding analysis of suspension bridges using an explicit iterative approach.” Struct. Eng. Mech. 62 (1): 85–95. https://doi.org/10.12989/sem.2017.62.1.085.
Chen, Y. R., W. Wei, and J. Dai. 2017. “The key quality control technology of main cable erection in long-span suspension bridge construction.” IOP Conf. Ser.: Earth Environ. Sci. 61: 012124. https://doi.org/10.1088/1755-1315/61/1/012124.
Chen, Z. J., H. Y. Cao, K. Ye, H. P. Zhu, and S. F. Li. 2015. “Improved particle swarm optimization-based form-finding method for suspension bridge installation analysis.” J. Comput. Civ. Eng. 29 (3): 04014047. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000354.
Jung, M.-R., D.-J. Min, and M.-Y. Kim. 2013. “Nonlinear analysis methods based on the unstrained element length for determining initial shaping of suspension bridges under dead loads.” Comput. Struct. 128 (5): 272–285. https://doi.org/10.1016/j.compstruc.2013.06.014.
Jung, M.-R., D.-J. Min, and M.-Y. Kim. 2015. “Simplified analytical method for optimized initial shape analysis of self-anchored suspension bridges and its verification.” Math. Prob. Eng. 2015: 923508.
Karoumi, R. 1999. “Some modeling aspects in the nonlinear finite element analysis of cable-supported bridges.” Comp. Struct. 71 (4): 397–412. https://doi.org/10.1016/S0045-7949(98)00244-2.
Kim, H.-K., and M.-Y. Kim. 2012. “Efficient combination of a TCUD method and an initial force method for determining initial shapes of cable-supported bridges.” Int. J. Steel Struct. 12 (2): 157–174. https://doi.org/10.1007/s13296-012-2002-1.
Kim, H.-K., M.-J. Lee, and S.-P. Chang. 2002. “Nonlinear shape-finding analysis of a self-anchored suspension bridge.” Eng. Struct. 24 (12): 1547–1559. https://doi.org/10.1016/S0141-0296(02)00097-4.
Kim, H.-K., M.-J. Lee, and S.-P. Chang. 2006. “Determination of hanger installation procedure for a self-anchored suspension bridge.” Eng. Struct. 28 (7): 959–976. https://doi.org/10.1016/j.engstruct.2005.10.019.
Kim, K.-S., and H. S. Lee. 2001. “Analysis of target configurations under dead loads for cable-supported bridges.” Comp. Struct. 79 (29–30): 2681–2692. https://doi.org/10.1016/S0045-7949(01)00120-1.
Lonetti, P., and A. Pascuzzo. 2014. “Design analysis of the optimum configuration of self-anchored cable-stayed suspension bridges.” Struct. Eng. Mech. 51 (5): 847–866. https://doi.org/10.12989/sem.2014.51.5.847.
Sun, Y., H. P. Zhu, and D. Xu. 2015. “New method for shape finding of self-anchored suspension bridges with three-dimensionally curved cables.” J. Bridge Eng. 20 (2): 04014063. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000642.
Thai, H.-T., and D.-H. Choi. 2013. “Advanced analysis of multi-span suspension bridges.” J. Constr. Steel Res. 90 (41): 29–41. https://doi.org/10.1016/j.jcsr.2013.07.015.
Zhang, W.-M., T. Li, L.-Y. Shi, Z. Liu, and K.-R. Qian. 2019a. “An iterative calculation method for hanger tensions and the cable shape of a suspension bridge based on the catenary theory and finite element method.” Adv. Struct. Eng. 22 (7): 1566–1578. https://doi.org/10.1177/1369433218820243.
Zhang, W.-M., G.-M. Tian, and Z. Liu. 2019b. “Analytical study of uniform thermal effects on cable configuration of a suspension bridge during construction.” J. Bridge Eng. 24 (11): 04019104. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001493.
Zhang, W. M., G. M. Tian, C. Y. Yang, and Z. Liu. 2019c. “Analytical methods for determining the cable configuration and construction parameters of a suspension bridge.” Struct. Eng. Mech. 71 (6): 603–625.
Zhou, G. P., A. Q. Li, J. H. Li, M. J. Duan, Z. Y. Xia, and L. Zhu. 2019. “Determination and implementation of reasonable completion state for the self-anchored suspension bridge with extra-wide concrete girder.” Appl. Sci. 9 (12): 2576. https://doi.org/10.3390/app9122576.
Zhou, X. H., and X. G. Zhang. 2019. “Thoughts on the development of bridge technology in China.” Engineering 5 (6): 1120–1130. https://doi.org/10.1016/j.eng.2019.10.001.
Zhou, Y. F., and S. R. Chen. 2019. “Iterative nonlinear cable shape and force finding technique of suspension bridges using elastic catenary configuration.” J. Eng. Mech. 145 (5): 04019031. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001598.

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Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 27Issue 1January 2022

History

Received: Jul 6, 2020
Accepted: Sep 8, 2021
Published online: Nov 10, 2021
Published in print: Jan 1, 2022
Discussion open until: Apr 10, 2022

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Authors

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Associate Professor, Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast Univ., Nanjing 211189, China (corresponding author). ORCID: https://orcid.org/0000-0002-8272-1121. Email: [email protected]
Master Candidate, Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast Univ., Nanjing 211189, China. ORCID: https://orcid.org/0000-0002-0117-7620. Email: [email protected]
Gen-min Tian [email protected]
Ph.D. Candidate, Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast Univ., Nanjing 211189, China. Email: [email protected]

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