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DOI QR Code

Reasonably completed state assessment of the self-anchored hybrid cable-stayed suspension bridge: An analytical algorithm

  • Kai Wang (Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University) ;
  • Wen-ming Zhang (Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University) ;
  • Jie Chen (Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University) ;
  • Zhe-hong Zhang (Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University)
  • 투고 : 2024.01.26
  • 심사 : 2024.04.08
  • 발행 : 2024.04.25

초록

In order to solve the problem of calculating the reasonable completed bridge state of a self-anchored hybrid cable-stayed suspension bridge (SA-HCSB), this paper proposes an analytical method. This method simplifies the main beam into a continuous beam with multi-point rigid supports and solves the support reaction forces. According to the segmented catenary theory, it simultaneously solves the horizontal forces of the main span main cables and the stay cables and iteratively calculates the equilibrium force system on the main beam in the collaborative system bridge state while completing the shape finding of the main span main cable and stay cables. Then, the horizontal forces of the side span main cables and stay cables are obtained based on the balance of horizontal forces on the bridge towers, and the shape finding of the side spans are completed according to the segmented catenary theory. Next, the difference between the support reaction forces of the continuous beam with multiple rigid supports obtained from the initial and final iterations is used to calculate the load of ballast on the side span main beam. Finally, the axial forces and strains of each segment of the main beam and bridge tower are obtained based on the loads applied by the main cable and stay cables on the main beam and bridge tower, thereby obtaining analytical data for the bridge in the reasonable completed state. In this paper, the rationality and effectiveness of this analytical method are verified through a case study of a SA-HCSB with a main span of 720m in finite element analysis. At the same time, it is also verified that the equilibrium force of the main beam under the reasonably completed bridge state can be obtained through iterative calculation. The analytical algorithm in this paper has clear physical significance, strong applicability, and high accuracy of calculation results, enriching the shape-finding method of this bridge type.

키워드

과제정보

The work described in this paper was financially supported by the National Key R&D Program of China (No. 2022YFB3706703), the National Natural Science Foundation of China under Grant Nos. 52378138 and 52078134, and the Natural Science Key Research Project of Anhui Educational Committee (No. KJ2021A1433), which are gratefully acknowledged.

참고문헌

  1. Apaydin, N.M. and Bas, S. (2018), "Long-span orthotropic steel deck bridges of Turkey", IOP Conf. Ser.: Mater. Sci. Eng., 419(1), 012023. https://doi.org/10.1088/1757-899X/419/1/012023.
  2. Bruno, D. and Leonardi, A. (1997), "Natural periods of long-span cable-stayed bridges", J. Bridge Eng., 2(3), 105-115. https://doi.org/10.1061/(ASCE)1084-0702(1997)2:3(105).
  3. Cao, H.Y., Chen, Y.P., Li, J. and Liu, S. (2021), "Static characteristics analysis of three-tower suspension bridges with central buckle using a simplified model", Eng. Struct., 245, 112916. https://doi.org/10.1016/j.engstruct.2021.112916.
  4. Cheng, J. and Li, Y. (2015), "Simplified method for predicting the deflections of cable-stayed suspension bridges considering live loads", KSCE J. Civil Eng., 19(5), 1413-1419. https://doi.org/10.1007/ s12205-014-1036-7.
  5. Fleming, J.F. (1979), "Nonlinear static analysis of cable-stayed bridge structures", Comput. Struct., 10(4), 621-635. https://doi.org/10.1016/0045-7949(79)90006-3.
  6. Freire, A.M.S., Negrao, J.H.O. and Lopes, A.V. (2006), "Geometrical nonlinearities on the static analysis of highly flexible steel cable-stayed bridges", Comput. Struct., 84(31), 2128-2140. https://doi.org/10.1016/j.compstruc.2006.08.047.
  7. Gimsing, N.J. and Georgakis, C.T. (2012), Cable Supported Bridges: Concept and Design, Third Edition, Wiley, New York.
  8. Guesdon, M., Erdogan, J.E. and Zivanovic, I. (2020), "The Third Bosphorus Bridge: A milestone in long-span cable technology development and hybrid bridges", Struct. Eng. Int., 30(3), 312-319. https://doi.org/10.1080/10168664.2020.1775536.
  9. Jung, M.R., Jang, M.J., Attard, M.M. and Kim, M.Y. (2017), "Elastic stability behavior of self-anchored suspension bridges by the deflection theory", Int. J. Struct. Stab. Dyn., 17(4), 1750050. https://doi.org/10.1142/S021945541750050X.
  10. Jung, M.R., Shin, S.U., Attard, M.M. and Kim, M.Y. (2015), "Deflection theory for self-anchored suspension bridges under live load", J. Bridge Eng., 20(7), 04014093. https://doi.org/10.1061/ (ASCE)BE.1943-5592.0000687.
  11. Kawada, T., Ohashi, H. and Scott, R. (2010), "History of the modern suspension bridge: Solving the dilemma between economy and stiffness", Amer. Soc. Civil Eng., 91. http://doi.org/10.1061/9780784410189.
  12. Kim, H.K., Lee, M.J. and Chang, S.P. (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.
  13. Kim, S., Won, D.H. and Kang, Y.J. (2016), "Ultimate behavior of steel cable-stayed bridges-I. Rational ultimate analysis method", Int. J. Steel. Struct., 16(2), 601-624. https://doi.org/10.1007/s13296-016-6027-8.
  14. Kong, X.W., Zhang, Q.H. and Yang, Z.M. (2021), "Study on navigation safety under influence of riverbed evolution in bridge area", Chin. Saf. Sci. J., 31(3), 128.
  15. Konstantakopoulos, T.G. and Michaltsos, G.T. (2010), "A mathematical model for a combined cable system of bridges", Eng. Struct., 32(9), 2717-2728. https://doi.org/10.1016/j.engstruct.2010.04.042.
  16. Lasdon, L.S., Fox, R.L. and Ratner, M.W. (1974), "Nonlinear optimization using the generalized reduced gradient method". RAIOR Recherche Operationnelle, 8(3),73-103.
  17. Li, Z.P. (2018), "Analysis on mechanical behavior of self-anchored cable-stayed suspension bridge", Zhejiang University. (in Chinese)
  18. Meng, H., Chen, W.L., Li, H. and Gao, D. (2023), "The vortex-induced vibrations of a triple-box girder model of a long-span rail-cum-road bridge", J. Wind Eng. Ind. Aerodyn., 235, 105359. https://doi.org/10.1016/j.jweia.2023.105359.
  19. Miao, F. (2014), "Development of self-anchored cable-stayed suspension bridge in China", Adv. Mat. Res., 898, 387-390. https://doi.org/10.4028/www.scientific.net/AMR.898.387.
  20. Pipinato, A. (2015), Innovative Bridge Design Handbook: Construction, Rehabilitation and Maintenance, Elsevier. 
  21. Sun, B., Cai, C.S. and Xiao, R. (2013), "Analysis strategy and parametric study of cable-stayed-suspension bridges", Adv. Civil Eng., 16(6), 1081-1102. https://doi.org/10.1260/1369-4332.16.6.1081.
  22. Sun, Y., Zhang, M., Wang, X.M., Zhao, J.L. and Bai, Y.T. (2022), "Analytical investigation of the main cable bending stiffness effect on free flexural vibration of suspension bridges with a 3D cable system", Struct., 41, 764-776. https://doi.org/10.1016/j.istruc.2022.05.010.
  23. Svensson, H. (2013), Cable-Stayed Bridges: 40 Years of Experience Worldwide, John Wiley and Sons Ltd.
  24. Wang, L. and Shao, G. (2023), "Force analysis of circular diaphragm wall based on circular cylindrical shell theory", Appl. Sci.-Basel., 13(7), 4450. https://doi.org/10.3390/app13074450.
  25. Wang, X.M., Wang, H. and Zhang, J. (2021), "Form-finding method for the target configuration under dead load of a new type of spatial self-anchored hybrid cable-stayed suspension bridges", Eng. Struct., 227, 111407. https://doi.org/10.1016/j.engstruct.2020.111407.
  26. Wang, X.M., Zhao, J.L., Sun, Y., Wang, F. and Li, Z.H. (2023), "Multifrequency-based tension intelligent identification for cables with unknown end-restraints using a metaheuristic algorithm", Struct., 50, 775-790. https://doi.org/10.1016/j.istruc.2023.02.049.
  27. Zeng, Q.C. (2018), "Determination of reasonable completion state and construction process analysis of cable-stayed suspension cooperative system bridge", Southwest Jiaotong University. (in Chinese)
  28. Zhang, L.W., Xiao, R.C., Sun, B., Jiang, Y., Zhang, X.Y. and Zhuang, D.L. (2013), "Study on economic performances of multi-span suspension bridges Part 1: Simple estimation formulas", J. Eng. Mech., 47(2), 265-286. https://doi.org/10.12989/sem.2013.47.2.265.
  29. Zhang, W.M., Chen, J., Tian, G.M. and Chang, J.Q. (2022), "Reasonable completed state evaluation for hybrid cable-stayed suspension bridges: An analytical algorithm", Struct., 44, 1636-1647. https://doi.org/10.1016/j.istruc.2022.08.103.
  30. Zhang, W.M., Ge, Y.J. and Levitan, M.L. (2011), "Aerodynamic flutter analysis of a new suspension bridge with double main spans", Wind. Struct., 14(3), 187-208. https://doi.org/10.12989/was. 2011.14.3.187.
  31. Zhang, W.M., Shi, L.Y., Li, L. and Liu, Z. (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.
  32. Zhang, W.M., Tian, G.M., Yang, C.Y. and Liu, Z. (2019), "Analytical methods for determining the cable configuration and construction parameters of a suspension bridge", Struct. Eng. Mech., 71(6), 603-25. https://doi.org/10.12989/sem.2019.71.6.603.
  33. Zhang, W.M., Zhang, Z.H., Tian, G.M. and Chang, J.Q. (2023), "Determining the reasonable completed bridge state of the self-anchored suspension bridge with spatial cable system based on minimum bending strain energy: An analytical algorithm", J. Bridge Eng., 28(5), 04023018. https://doi.org/10.1061/JBENF2.BEENG-5857.
  34. Zhu, W.Z. (2009), "Study on determination of reasonable completion state and some problems of self-anchored cable-stayed suspension cooperative system bridge", Dalian University of Technology. (in Chinese)