Frictional Resistance Between Main Cable and Saddle for Suspension Bridges. II: Interlayer Slip of Strands
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Volume 25, Issue 8
Abstract
The capability to accurately evaluate the frictional resistance between the main cable and saddle is essential for the design and evaluation of suspension bridges. In this paper, an analytical model is developed to predict the frictional resistance between the main cable and saddle based on slipping compatibility conditions and is validated against model test data. The relative slip between adjacent strands is considered. The development process of the frictional resistance is analyzed. The development process of the total frictional resistance between the main cable and saddle can be divided into three stages: (1) the nearly linear growing stage, (2) the slow growing stage, and (3) the steady ultimate stage. Incorporating vertical frictional plates into the saddle trough increases the frictional resistance between the main cable and saddle but aggravates the unevenness of the distribution of the single strand frictional resistance.
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Acknowledgments
This study was funded by the National Natural Science Foundation of China (Grant Numbers 51778533, 51878561, and 51578455), the Fundamental Research Funds for the Central Universities (Grant Number 2682014CX078), the National Science and Technology Support Program of China (Grant Number 2011BAG07B03) and the Open Project Funds of State Key Laboratory for Health and Safety of Bridge Structures (Grant Number BHSKL18-01-KF).
References
Bureau, L., T. Baumberger, and C. Caroli. 2002. “Rheological aging and rejuvenation in solid friction contacts.” Eur. Phys. J. E. Soft Matter. 8 (3): 331–337. https://doi.org/10.1140/epje/i2002-10017-1.
Chai, S., R. Xiao, X. Wang, and X. Ren. 2016. “Analytical method for calculating anti-slip safety factor between main cable and saddle in multi-tower suspension bridge.” [In Chinese.] China J. Highway Transp. 29 (4): 59–66.
Cheng, Z., Q. Zhang, Y. Bao, D. Jia, Y. Bu, and Q. Li. 2018. “Analytical models of frictional resistance between cable and saddle equipped with friction plates for multispan suspension bridges.” J. Bridge Eng. 23 (1): 04017118. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001176.
Galántai, A. 2000. “The theory of Newton’s method.” J. Comput. Appl.Math. 124 (1–2): 25–44. https://doi.org/10.1016/S0377-0427(00)00435-0.
Gimsing, N. J. 2012. Cable supported bridges concept and design. 3rd ed. New York: Wiley.
Hasegawa, K., H. Kojima, M. Sasaki, and K. Takena. 1995. “Frictional resistance between cable and saddle equipped with friction plate.” J. Struct. Eng. 121 (1): 1–14. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:1(1).
Ji, L., C. Chen, and Z. Feng. 2007. “A study on slip resistance between main cable and saddle on middle tower of three-tower suspension bridge.” [In Chinese.] Highway 6: 1–6.
Li, Q., Q. Zhang, Y. Bu, and L. Zhou. 2011. The test report of slip behavior of cable against saddle for Yingwuzhou Yangtze river bridge. [In Chinese.] Eng. Rep. Chengdu, China: Southwest Jiaotong Univ.
Malla, R. B., D. Schillinger, and L. J. Vila. 2014. “Experimental determination of friction coefficient and mobilization force for a laterally confined granular column.” Granular Matter. 16 (6): 843–855. https://doi.org/10.1007/s10035-014-0531-3.
Nazir, C. P. 1986. “Multispan balanced suspension bridge.” J. Struct. Eng. 112 (11): 2512–2527. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:11(2512).
Polyak, B. T. 2007. “Newton’s method and its use in optimization.” Eur. J. Oper. Res. 181 (3): 1086–1096. https://doi.org/10.1016/j.ejor.2005.06.076.
Popov, V. L., and M. Heß. 2014. “Method of dimensionality reduction in contact mechanics and friction: A user handbook. I. Axially-symmetric contacts.” F. U. Mech. Eng. 12 (1): 135–146.
Shen, R., L. Wang, C. Wang, X. Wang, and S. Zhang. 2017. “Experimental study on distribution pattern of lateral force between main cable and cable saddle for suspension bridge.” [In Chinese.] China Civ. Eng. J. 50 (10): 75–81.
Takena, K., M. Sasaki, K. Hata, and K. Hasegawa. 1992. “Slip behavior of cable against saddle in suspension bridges.” J. Struct. Eng. 118 (2): 377–391. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:2(377).
Thai, H.-T., and D.-H. Choi. 2013. “Advanced analysis of multi-span suspension bridges.” J. Constr. Steel Res. 90: 29–41. https://doi.org/10.1016/j.jcsr.2013.07.015.
Wan, T., Z. Wang, D. Han, and X. Luo. 2008. “Selection of structural type for intermediate tower of three tower suspension bridge of Taizhou Changjiang River Highway Bridge.” [In Chinese.]. World Bridges 1: 1–4.
Wang, L. 2018. Theoretical and experimental studies on the slip mechanism between main cable and saddle in suspension bridge. [In Chinese.] Chengdu, China: Southwest Jiaotong Univ.
Wang, L., R. Shen, C. Wang, X. Wang, and Y. Wang. 2017. “Theoretical calculation method and formula for lateral force between main cable and cable saddle for suspension bridge.” [In Chinese.] China Civ. Eng. J. 50 (12): 87–96.
Xiao, R. 2013. Bridge structural systems. [In Chinese.] Beijing: China Communications Press.
Xu, G., and H. Deng. 2004. “Design of Yangluo Yangtze River Bridge in Wuhan.” [In Chinese.] Highway 10: 1–6.
Yang, J. 2007. “Technical ideas of conceptual design of three-tower suspension bridge for main bridge of Taizhou Changjiang River Highway Bridge.” [In Chinese]. Bridge Constr. 3: 33–35.
Yoshida, O., M. Okuda, and T. Moriya. 2004. “Structural characteristics and applicability of four-span suspension bridge.” J. Struct. Eng. 9 (5): 453–463. https://doi.org/10.1061/(ASCE)1084-0702(2004)9:5(453).
Zhang, Q., Z. Cheng, C. Cui, Y. Bao, J. He, and Q. Li. 2017a. “Analytical model for frictional resistance between cable and saddle of suspension bridges equipped with vertical friction plates.” J. Bridge Eng. 22 (1): 04016103. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000986.
Zhang, Q., Z. Cheng, D. Jia, and Y. Bao. 2017b. “Method for determining anti-slip safety factors between main cable and saddle in suspension bridge.” [In Chinese.] China J. Highway Transp. 30 (7): 1–9.
Zhang, Q., J. Kang, Y. Bao, Z. Cheng, D. Jia, and Y. Bu. 2018. “Numerical study on cable-saddle frictional resistance of multispan suspension bridges.” J. Constr. Steel Res. 150: 51–59. https://doi.org/10.1016/j.jcsr.2018.08.006.
Zhang, Q., and Q. Li. 2013. “Studies on cable-saddle frictional characteristics for long-span suspension bridges.” [In Chinese.] China Civ. Eng. J. 46 (4): 85–92.
Zhang, Q., Q. Li, and L. Zhou. 2014. “Theoretical analysis of cable-saddle friction characteristics for suspension bridges.” [In Chinese.] China J. Highway Transp. 27 (1): 44–50.
Zhang, X., and X. Zhao. 2008. “Advances in researches on multi-tower suspension bridges.” [In Chinese]. Highway 10: 1–7.
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© 2020 American Society of Civil Engineers.
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Received: Jan 17, 2019
Accepted: Nov 14, 2019
Published online: May 21, 2020
Published in print: Aug 1, 2020
Discussion open until: Oct 21, 2020
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