DOI QR코드

DOI QR Code

Determination of proper post-tensioning cable force of cable-stayed footbridge with TLBO algorithm

  • Atmaca, Barbaros (Department of Civil Engineering, Karadeniz Technical University)
  • Received : 2020.10.11
  • Accepted : 2021.08.02
  • Published : 2021.09.25

Abstract

The pleasing appearances, economic and easy construction of cable-stayed footbridges (CSFB) have made them one of the most preferred options for pedestrian traffic crossing over the highways. The basic structural members of CSFB can be sortable as a foundation, pylon, deck, and stay-cables. The stay-cable has an important role in the formation of structural integrity by ensuring that the deck and pylon work together with the help of proper post-tensioning forces (PTF) applied to them. In this study, it is aim to determine proper set of PTF with the help of the developed optimization process which provides to work together metaheuristic algorithm named Teaching-Learning-Based Optimization (TLBO) and Open Applicable Programming Interface (OAPI) properties of SAP2000 with codes created in MATLAB. In addition of this aim, the study also presents the importance of PTF for structural behavior of CSFB. TLBO algorithms use a randomly created initial population. The teacher phase and student phase are the main part of this algorithm. Five different proper sets of PTF are determined by using developed optimization process and the structural response such as displacement and internal forces of structural members of the selected CSFB compared with each other. Consequently, PTF directly affects the behavior of CSFB, as it ensures that displacements of deck and pylon remain between the acceptable limits, controls the distribution and magnitude of the internal forces for different load combinations. Furthermore, the evaluation of PTF might not have a single solution because CSFB are highly statically indeterminate so there are more different possible sets of PTFs that satisfy strength and serviceability requirements.

Keywords

References

  1. Artar, M. (2016a), "Optimum design of braced steel frames via teaching learning based optimization", Steel Compos. Struct., 22(4), 733-744. https://doi.org/10.12989/scs.2016.22.4.733.
  2. Artar, M. (2016b), "A comparative study on optimum design of multi-element truss structures", Steel Compos. Struct., 22(3), 521-535. https://doi.org/10.12989/scs.2016.22.3.521.
  3. Artar, M. and Daloglu A. (2015), "Optimum design of composite steel frames with semi-rigid connections and column bases via genetic algorithm", Steel Compos. Struct., 19(4), 1035-1053. https://doi.org/10.12989/scs.2015.19.4.1035.
  4. Asgari, B., Osman, S.A. and Adnan, A.B. (2015), "Optimization of pre-tensioning cable forces in highly redundant cable-stayed bridges", Int. J. Struct. Stab. Dyn., 15(1), 1725-1802. https://doi.org/10.1142/S0219455415400052.
  5. Atmaca, B. (2021), "Size and post-tensioning cable force optimization of cable-stayed footbridge", Structures, 33, 2036-2049. https://doi.org/10.1016/j.istruc.2021.05.050.
  6. Atmaca, B., Grzywinski, M. And Dede, T. (2019), "Optimization of post-tensioning forces in stay-cables of cable-stayed bridges", Constr. Optim. Energy Potential, 8(2), 69-76. https://doi.org/10.17512/bozpe.2019.2.08.
  7. Bayram, A., Uzlu, E., Kankal, M. and Dede, T. (2014), "Modeling stream dissolved oxygen concentration using teaching-learning based optimization algorithm", Environ. Earth Sci., 73, 6565-6576. https://doi.org/10.1007/s12665-014-3876-3.
  8. CEN (2002), (European Committee for Standardization). Actions on structures. Eurocode 1, Brussels.
  9. Chen, D.W., Au, F.T.K., Tham, L.G. and Lee, P.K.K. (2000), "Determination of initial cable forces in prestressed concrete cable-stayed bridges for given design deck profiles using the force equilibrium method", J. Comput. Struct., 7, 1-9. https://doi.org/10.1016/S0045-7949(98)00315-0.
  10. Cid, C., Baldomir, A. and Hernandez, S. (2018), "Optimum crossing cable system in multi-span cable-stayed bridges", Eng. Struct., 160, 342-355. https://doi.org/10.1016/j.engstruct.2018.01.019.
  11. Das, A., Hirwani, C.K., Panda, S.K., Topal, U. and Dede, T. (2018), "Prediction and analysis of optimal frequency of layered composite structure using higher-order FEM and soft computing techniques", Steel Compos. Struct., 29(6) 745-754. https://doi.org/10.12989/scs.2018.29.6.749.
  12. Dede, T. (2013), "Optimum design of grillage structures to LRFD-AISC with teaching-learning based optimization", Struct. Multidiscip. O., 48, 955-964. https://doi.org/10.1007/s00158-013-0936-3.
  13. Dede, T. and Ayvaz, Y. (2013), "Structural optimization with teaching-learning-based optimization algorithm", Struct. Eng. Mech., 47(4), 495-511. https://doi.org/10.12989/sem.2013.47.4.495.
  14. Es-Haghia, M.S., Shishegaran, A. and Rabczuk, T. (2020), "Evaluation of a novel Asymmetric Genetic Algorithm to optimize the structural design of 3D regular and irregular steel frames", Front. Struct. Civ. Eng., 14(5), 1110-1130. https://doi.org/10.1007/s11709-020-0643-2.
  15. Fabbrocino, F., Modano, M., Farina, I., Carpentieri, G. and Fraternali, F. (2017), "Optimal prestress design of composite cable-stayed bridges", Compos. Struct., 169, 167-172. https://doi.org/10.1016/j.compstruct.2016.09.008.
  16. Ferreira, F, and Simoes, L. (2012), "Optimum cost design of controlled cable stayed footbridges", Comput. Struct., 106-107, 135-143. https://doi.org/10.1016/j.compstruc.2012.04.013.
  17. Grzywinski, M., Selejdak, J. and Dede, T. (2019), "Shape and size optimization of trusses with dynamic constraints using a metaheuristic algorithm", Steel Compos. Struct., 33(5), 447-753. https://doi.org/10.12989/scs.2019.33.5.747.
  18. Hassan, M.M., Nassef, A.O. and El Damatty, A.A. (2013), "Surrogate function of post-tensioning cable forces for cable-stayed bridges", Adv. Struct. Eng., 16(3), 559-578. https://doi.org/10.1260/1369-4332.16.3.559.
  19. Hassan, M.M., Nassef, A.O. and El Damatty, A.A. (2012), "Determination of optimum post-tensioning cable forces of cable-stayed bridges", Eng. Struct., 44, 248-259. https://doi.org/10.1016/j.engstruct.2012.06.009.
  20. Janjic, D., Pircher, M. and Pircher, H. (2002), "The unit load method-some recent applications", Adv. Steel Struct., 831-837. https://doi.org/10.1016/B978-008044017-0/50097-4.
  21. Larsen, A. and Larose, G. (2015), "Dynamic wind effects on suspension and cable stayed bridges", J Sound. Vib., 334, 2-28. https://doi.org/10.1016/j.jsv.2014.06.009.
  22. Martins, A.M.B., Simoes, L.M.C. and Negrao, J.H.J.O. (2020), "Optimization of cable-stayed bridges: A literature survey", Adv. Eng. Softw., 149, 102829. https://doi.org/10.1016/j.advengsoft.2020.102829.
  23. MATLAB v6.5-13. MATLAB documentation.
  24. Montoya, M., Hernandez, S. and Nieto, F. (2018), "Shape optimization of streamlined decks of cable-stayed bridges considering aeroelastic and structural constraints", J. Wind Eng. Ind. Aerod., 177, 429-455. https://doi.org/10.1016/j.jweia.2017.12.018.
  25. Negrao, J.H.O. and Simoes, L.M.C. (1997), "Optimization of cable-stayed bridges with three dimensional modelling", J. Comput. Struct., 64, 741-758. https://doi.org/10.1016/S0045-7949(96)00166-6.
  26. Ozturk, H.T., Dede, T. and Turker, E. (2020), "Optimum design of reinforced concrete counterfort retaining walls using TLBO, Jaya algorithm", Structures, 25, 285-296. https://doi.org/10.1016/j.istruc.2020.03.020.
  27. Rao, R.V., Savsani, V.J. and Vakharia, D.P. (2011), "Teaching-learning based optimization: A novel method for constrained mechanical design optimization problems", Comput.-Aided Design, 4, 303-315. https://doi.org/10.1016/j.cad.2010.12.015.
  28. Rao, R.V. (2016), "Jaya: A simple and new optimization algorithm for solving constrained and unconstrained optimization problems", Int. J. Ind. Eng. Comput., 7, 19-34. https://doi.org/10.5267/j.ijiec.2015.8.004.
  29. Rao, R.V. (2020), "Rao algorithms: Three metaphor-less simple algorithms for solving optimization problems", Int. J. Ind. Eng. Comput., 11, 107-130. https://doi:10.5267/j.ijiec.2019.6.002.
  30. SAP2000 (2016), Computers & Structures, CALIFORNIA.
  31. Simoes, L.M.C. and Negrao, J.H.J.O. (2000), "Optimization of cable-stayed bridges with box girder decks", J. Adv. Eng. Softw., 31, 417-423. https://doi.org/10.1016/S0965-9978(00)00003-X.
  32. Sung, Y.C., Chang, D.W. and Teo, E.H. (2006), "Optimum posttensioning cable forces of Mau-Lo His cable-stayed bridge", Eng. Struct., 28(10), 1407-1417. https://doi.org/10.1016/j.engstruct.2006.01.009.
  33. Topal, U., Dede, T. and Ozturk, H.T. (2017), "Stacking sequence optimization for maximum fundamental frequency of simply supported antisymmetric laminated composite plates using teaching-learning-based optimization", KSCE J. Civil Eng., 21, 2281-2288. https://doi.org/10.1007/s12205-017-0076-1.
  34. Uzlu, E., Komurcu, M.I., Kankal, M., Dede, T. and Ozturk, H.T. (2014), "Prediction of berm geometry using a set of laboratory tests combined with teaching-learning-based optimization and artificial bee colony algorithms", Appl. Ocean Res., 48, 103-113. https://doi.org/10.1016/j.apor.2014.08.002.
  35. Wang, P.H., Tseng, T.C. and Yang, C.G. (1993), "Initial shape of cable-stayed bridges", J. Comput. Struct., 46, 1095-1106. https://doi.org/10.1016/0045-7949(93)90284-K.
  36. Xiuli, X., Zhijun, L., Weiqing, L., Dongming, F. and Xuehong, L. (2017), "Investigation of the wind resistant performance of seismic viscous dampers on a cable-stayed bridge", Eng. Struct., 145, 283-292. https://doi.org/10.1016/j.engstruct.2017.05.008.