Technical Papers
Sep 3, 2019

Analytical Study of Uniform Thermal Effects on Cable Configuration of a Suspension Bridge during Construction

Publication: Journal of Bridge Engineering
Volume 24, Issue 11

Abstract

The cable configuration of a suspension bridge is very sensitive to temperature changes. On the basis of multisegment catenary theory in combination with the conditions of geometric compatibility, mechanical equilibrium, and conservation of the unstrained cable length, an analytical method is proposed to model the temperature sensitivity of the cable configuration of suspension bridges. The main considerations were the elevation of the main cable and installation positions of cable clamps. The proposed method can adapt to different construction states (the completion state of the bridge, the free cable state, and the datum cable strand), boundary conditions (considering or not considering the saddle arc), and the stiffness of the towers (considering or not considering tower bending deformation). It is possible to switch between different cases by changing only a few parameters. An engineering example analysis was then performed for a suspension bridge with a main span of 730 m, which demonstrated the feasibility and effectiveness of the proposed method. The results showed that the deformation of the suspension bridge had a linear relationship with temperature. The construction state and bending deformation of the towers had a large impact on the temperature sensitivity coefficient of the main cable elevation. The bending deformation of the towers aggravated and lessened the temperature sensitivity coefficient of the main cable elevation for the main span and side span, respectively. The temperature sensitivity coefficient of midspan point elevation of the main cable correlated negatively to the span length. The maximum temperature sensitivity coefficient of the installation position of the cable clamp occurred near the interquartile point of the main span.

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Acknowledgments

The research described in this paper was financially supported by the NSFC under the grant 51678148, a project supported by the Natural Science Foundation of Jiangsu Province (BK20181277), and the National Key R. & D Program of China (2017YFC0806009), which are gratefully acknowledged.

References

Cao, H. Y., Y. L. Zhou, Z. J. Chen, and M. A. Wahab. 2017. “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, 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.
Chen, Z. J., H. Y. Cao, and H. P. Zhu. 2013. “An iterative calculation method for suspension bridge's cable system based on exact catenary theory.” Baltic J. Road Bridge Eng. 8 (3): 196–204. https://doi.org/10.3846/bjrbe.2013.25.
Cheynet, E., J. Snæbjörnsson, and J. B. Jakobsen. 2017. “Temperature effects on the modal properties of a suspension bridge.” In Dynamics of Civil Structures, Vol. 2: Proc. of the 35th IMAC, edited by J. Caicedo and S. Pakzad, 87–93. Cham, Switzerland: Springer.
De Battista, N., J. M. W. Brownjohn, H. P. Tan, and K. Y. Koo. 2015. “Measuring and modelling the thermal performance of the Tamar Suspension Bridge using a wireless sensor network.” Struct. Infr. Eng. 11 (2): 176–193. https://doi.org/10.1080/15732479.2013.862727.
Ding, Y. L., and A. Q. Li. 2011. “Temperature-induced variations of measured modal frequencies of steel box girder for a long-span suspension bridge.” Int. J. Steel Struct. 11 (2): 145–155. https://doi.org/10.1007/s13296-011-2004-4.
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. Probl. Eng. 2015: 1–14. https://doi.org/10.1155/2015/923508.
Kim, H. K., M. J. Lee, and S. P. Chang. 2002. “Non-linear 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.
Koo, K. Y., J. M. W. Brownjohn, D. I. List, and R. Cole. 2013. “Structural health monitoring of the Tamar suspension bridge.” Struct. Control Health Monit. 20 (4): 609–625. https://doi.org/10.1002/stc.1481.
Lepidi, M., and V. Gattulli. 2012. “Static and dynamic response of elastic suspended cables with thermal effects.” Int. J. Solids Struct. 49 (9): 1103–1116. https://doi.org/10.1016/j.ijsolstr.2012.01.008.
O'Brien, T. 1964. “General solution of suspended cable problems.” J. Struct. Div. 93 (ST1): 1–26.
O'Brien, T., and A. J. Francis. 1964. “Cable movements under two-dimensional loads.” J. Struct. Div. 90 (ST3): 89–123.
Roberts, G. W., C. J. Brown, and X. Tang. 2017. “Correlated GNSS and temperature measurements at 10-minute intervals on the Severn Suspension Bridge.” Appl. Geom. 9 (2): 115–124. https://doi.org/10.1007/s12518-017-0187-x.
Thai, H. T., and S. E. Kim. 2011. “Nonlinear static and dynamic analysis of cable structures.” Finite Elem. Anal. Des. 47 (3): 237–246. https://doi.org/10.1016/j.finel.2010.10.005.
Treyssède, F. 2009. “Free linear vibrations of cables under thermal stress.” J. Sound Vib. 327 (1–2): 1–8. https://doi.org/10.1016/j.jsv.2009.07.005.
Treyssède, F. 2010. “Vibration analysis of horizontal self-weighted beams and cables with bending stiffness subjected to thermal loads.” J. Sound Vib. 329 (9): 1536–1552. https://doi.org/10.1016/j.jsv.2009.11.018.
Treyssède, F. 2018. “Finite element modeling of temperature load effects on the vibration of local modes in multi-cable structures.” J. Sound Vib. 413: 191–204. https://doi.org/10.1016/j.jsv.2017.10.022.
Wang, S., Z. Zhou, Y. Gao, and Y. Huang. 2015. “Analytical calculation method for the preliminary analysis of self-anchored suspension bridges.” Math. Probl. Eng. 2015 (2): 1–12. https://doi.org/10.1155/2015/918649.
Westgate, R., K. Y. Koo, and J. Brownjohn. 2015. “Effect of solar radiation on suspension bridge performance.” J. Bridge Eng. 20 (5): 04014077. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000668.
Xia, Q., J. Zhang, Y. D. Tian, and Y. F. Zhang. 2017. “Experimental study of thermal effects on a long-span suspension bridge.” J. Bridge Eng. 22 (7): 04017034. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001083.
Xia, Y., B. Chen, X. Q. Zhou, and Y. L. Xu. 2013. “Field monitoring and numerical analysis of Tsing Ma Suspension Bridge temperature behavior.” Struct. Control Health Monit. 20 (4): 560–575. https://doi.org/10.1002/stc.515.
Xu, Y. L., B. Chen, C. L. Ng, K. Y. Wong, and W. Y. Chan. 2009. “Monitoring temperature effect on a long suspension bridge.” Struct. Control Health Monit. 17 (6): 632–653. https://doi.org/10.1002/stc.340.
Zhang, W. M., L. Y. Shi, L. Li, and Z. Liu. 2018. “Methods to correct unstrained hanger lengths and cable clamps' installation positions in suspension bridges.” Eng. Struct. 171: 202–213. https://doi.org/10.1016/j.engstruct.2018.05.039.
Zhou, L. R., Y. Xia, J. M. W. Brownjohn, and K. Y. Koo. 2016. “Temperature analysis of a long-span suspension bridge based on field monitoring and numerical simulation.” J. Bridge Eng. 21 (1): 04015027. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000786.

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Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 24Issue 11November 2019

History

Received: Dec 23, 2018
Accepted: Jun 6, 2019
Published online: Sep 3, 2019
Published in print: Nov 1, 2019
Discussion open until: Feb 3, 2020

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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]
Gen-min Tian [email protected]
Master's Candidate, Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast Univ., Nanjing 211189, China. Email: [email protected]
Professor, Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast Univ., Nanjing 211189, China. ORCID: https://orcid.org/0000-0002-8000-6634. Email: [email protected]

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