Machine Learning–Based Hysteretic Lateral Force-Displacement Models of Reinforced Concrete Columns
Publication: Journal of Structural Engineering
Volume 148, Issue 3
Abstract
Hysteretic lateral force-displacement (HLFD) models are important for efficient structural analysis under cyclic loading (e.g., earthquakes). This paper proposes a novel machine learning (ML)-based HLFD model, referred to as ML-HLFD, to characterize the relationship between lateral force and displacement of reinforced concrete (RC) columns with different properties (e.g., geometry, and material properties). To this end, a database including 498 experimental results is collected for model training, validation, and testing purposes. The ML-HLFD first uses a support vector machine (SVM) to classify the different failure modes (i.e., flexure failure, flexure-shear failure, and shear failure). After that, an artificial neural network (ANN) is trained for obtaining the implicit mapping between inputs (i.e., the properties of RC column) and outputs (i.e., the crucial parameters of selected HLFD models). The performance of the ML-HLFD models is studied by (1) cross-validation; and (2) comparisons with experiments, a classical fiber-element model, and an existing analytical model, which demonstrate the accuracy and efficiency of ML-HLFD models under a wide range of scenarios.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
The authors acknowledge financial support from (1) the National Key Research and Development Program of China (2016YFC0701106), (2) the National Natural Science Foundation of China (51578473, 51978591, and 51261120376), and (3) the Natural Sciences and Engineering Research Council (NSERC) in Canada through the Discovery Grant (RGPIN-2017-05556).
References
Aboutaha, R. S., M. D. Engelhardt, J. O. Jirsa, and M. E. Kreger. 1999. “Rehabilitation of shear critical concrete columns by use of rectangular steel jackets.” ACI Struct. J. 96 (1): 68–78.
Al-Haik, M. S., H. Garmestani, and I. M. Navon. 2003. “Truncated-Newton training algorithm for neurocomputational viscoplastic model.” Comput. Methods Appl. Mech. Eng. 192 (19): 2249–2267. https://doi.org/10.1016/S0045-7825(03)00261-5.
Amitsu, S., N. Shirai, H. Adachi, and A. Ono. 1991. “Deformation of reinforced concrete column with high or fluctuating axial force.” Trans. Jpn. Concr. Inst. 13: 355–362.
Ang, B. G., M. J. N. Priestley, and R. Park. 1981. Ductility of reinforced concrete bridge piers under seismic loading. Christchurch, New Zealand: Univ. of Canterbury.
Ang, B. G., M. J. N. Priestley, and T. Paulay. 1985. Seismic shear strength of circular bridge piers. Rep. No. 85-5. Christchurch, New Zealand: Univ. of Canterbury.
Ang, B. G., M. J. N. Priestley, and T. Paulay. 1989. “Seismic shear strength of circular reinforced concrete columns.” ACI Struct. J. 86 (1): 45–49.
Arakawa, T., Y. Arai, M. Mizoguchi, and M. Yoshida. 1989. “Shear resisting behavior of short reinforced concrete columns under biaxial bending-shear.” Trans. Jpn. Concr. Inst. 11: 317–324.
Arakawa, T., M. X. He, Y. Arai, and M. Mizoguchi. 1987. “Ultimate shear strength of spirally-confined concrete columns.” Trans. Jpn. Concr. Inst. 9 (2): 299–304.
Arakawa, T., M.-X. He, Y. Arai, and M. Mizoguchi. 1988. “Shear resisting behavior of reinforced concrete columns with spiral hoops.” Trans. Jpn. Concr. Inst. 10: 155–162.
ASCE. 2014. Seismic evaluation and retrofit of existing buildings. ASCE/SEI 41-13. Reston, VA: ASCE.
Atalay, M. B., and J. Penzien. 1975. The seismic behavior of critical regions of reinforced concrete components as influenced by moment, shear and axial force. Berkeley, CA: Univ. of California.
Azadi Kakavand, M. R., H. Sezen, and E. Taciroglu. 2021. “Data-driven models for predicting the shear strength of rectangular and circular reinforced concrete columns.” J. Struct. Eng. 147 (1): 04020301. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002875.
Azizinamini, A., L. S. Johal, N. W. Hanson, D. W. Musser, and W. G. Corley. 1988. Effects of transverse reinforcement on seismic performance of columns—A partial parametric investigation. Skokie, IL: Construction Technology Laboratories.
Bayrak, O., and S. Sheikh. 1996. “Confinement steel requirements for high strength concrete columns.” In Proc., 11th World Conf. on Earthquake Engineering. Amsterdam, Netherlands: Elsevier.
Bett, B. J., R. E. Klingner, and J. O. Jirsa. 1985. Behavior of strengthened and repaired reinforced concrete columns under cyclic deformations. Austin, TX: Univ. of Texas at Austin.
Brunesi, E., and R. Nascimbene. 2014. “Extreme response of reinforced concrete buildings through fiber force-based finite element analysis.” Eng. Struct. 69: 206–215. https://doi.org/10.1016/j.engstruct.2014.03.020.
Calderone, A. J., D. E. Lehman, and J. P. Moehle. 2000. Behavior of reinforced concrete bridge columns having varying aspect ratios and varying lengths of confinement. Berkeley, CA: Pacific Earthquake Engineering Research Center.
Ceravolo, R., S. Erlicher, and L. Zanotti Fragonara. 2013. “Comparison of restoring force models for the identification of structures with hysteresis and degradation.” J. Sound Vib. 332 (26): 6982–6999. https://doi.org/10.1016/j.jsv.2013.08.019.
Chai, Y., M. Priestley, and F. Seible. 1991. “Seismic retrofit of circular bridge columns for enhanced flexural performance.” ACI Struct. J. 88 (5): 572–584.
Cheok, G. S., and W. C. Stone. 1986. Behavior of 1/6-scale model bridge columns subjected to cycle inelastic loading. Gaithersburg, MD: NIST.
Coffman, H. L., M. L. Marsh, and C. B. Brown. 1993. “Seismic durability of retrofitted reinforced-concrete columns.” J. Struct. Eng. 119 (5): 1643–1661. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:5(1643).
Cortes, C., and V. N. Vapnik. 1995. “Support-vector networks.” Mach. Learn. 20 (3): 273–297.
Davey, B. E. 1975. “Reinforced concrete bridge piers under seismic loading.” Master of Engineering Report, Dept. of Civil Engineering, Univ. of Canterbury.
Dietterich, T. G., and G. Bakiri. 1995. “Solving multiclass learning problems via error-correcting output codes.” J. Artif. Intell. Res. 2 (1): 263–286. https://doi.org/10.1613/jair.105.
Elwood, K. J. 2004. “Modelling failures in existing reinforced concrete columns.” Can. J. Civ. Eng. 31 (5): 846–859. https://doi.org/10.1139/l04-040.
Esaki, F. 1996. “Reinforcing effect of steel plate hoops on ductility of R/C square column.” In Proc., 11th World Conf. on Earthquake Engineering. Amsterdam, Netherlands: Elsevier.
Feng, D. C., B. Cetiner, M. R. Azadi Kakavand, and E. Taciroglu. 2021. “Data-driven approach to predict the plastic hinge length of reinforced concrete columns and its application.” J. Struct. Eng. 147 (2): 04020332. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002852.
Furukawa, T., and G. Yagawa. 1998. “Implicit constitutive modelling for viscoplasticity using neural networks.” Int. J. Numer. Methods Eng. 43 (2): 195–219. https://doi.org/10.1002/(SICI)1097-0207(19980930)43:2%3C195::AID-NME418%3E3.0.CO;2-6.
Galeota, D., M. M. Giammatteo, and R. Marino. 1996. “Seismic resistance of high strength concrete columns.” In Proc., 11th World Conf. on Earthquake Engineering. Amsterdam, Netherlands: Elsevier.
Gill, P. E., W. Murray, and M. A. Saunders. 2005. “SNOPT: An SQP algorithm for large-scale constrained optimization.” SIAM Rev. 47 (1): 99–131. https://doi.org/10.1137/S0036144504446096.
Gill, W. D., R. Park, and M. J. N. Priestley. 1979. Ductility of rectangular reinforced concrete columns with axial load. Christchurch, New Zealand: Univ. of Canterbury.
Gondia, A., M. Ezzeldin, and W. El-Dakhakhni. 2020. “Mechanics-guided genetic programming expression for shear-strength prediction of squat reinforced concrete walls with boundary elements.” J. Struct. Eng. 146 (11): 04020223. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002734.
Gu, Q., M. Barbato, J. P. Conte, P. E. Gill, and F. McKenna. 2012. “OpenSees-SNOPT framework for finite-element-based optimization of structural and geotechnical systems.” J. Struct. Eng. 138 (6): 822–834. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000511.
Hamilton, C. H., G. C. Pardoen, and R. P. Kazanjy. 2002. Experimental testing of bridge columns subjected to reversed-cyclic and pulse-type loading histories. Irvine, CA: Univ. of California.
Han, J., and C. Moraga. 1995. “The influence of the sigmoid function parameters on the speed of backpropagation learning.” In Natural to artificial neural computation. IWANN. 1995. Lecture notes in computer science, 195–201. Berlin: Springer.
Heng, N. K., M. J. N. Priestley, and R. Park. 1978. Seismic behaviour of circular reinforced concrete bridge piers. Christchurch, New Zealand: Univ. of Canterbury.
Henry, L., and S. A. Mahin. 1999. Study of buckling longitudinal bars in reinforced concrete bridge columns.
Hose, Y. D., F. Seible, and M. J. N. Priestley. 1997. Strategic relocation of plastic hinges in bridge columns. San Diego: Univ. of California.
Huang, C., L. Chen, L. He, and W. Zhuo. 2020. “Comparative assessment of seismic collapse risk for non-ductile and ductile bridges: A case study in China.” Bull. Earthquake Eng. https://doi.org/10.1007/s10518-020-00946-5.
Ibarra, L. F., R. A. Medina, and H. Krawinkler. 2005. “Hysteretic models that incorporate strength and stiffness deterioration.” Earthquake Eng. Struct. Dyn. 34 (12): 1489–1511. https://doi.org/10.1002/eqe.495.
Imai, H., and Y. Yamamoto. 1986. “A study on causes of earthquake damage of Izumi high school due to Miyagi-Ken-Oki earthquake in 1978.” Trans. Jpn. Concr. Inst. 8: 405–418.
Iwasaki, T., K. Kazuhiko, R. Hagiwara, K. Hasegawa, T. Koyama, and T. Yoshida. 1985. “Experimental investigation on hysteretic behavior of reinforced concrete bridge pier columns.” In Proc., 17th Joint Panel Meeting of the US–Japan Cooperative Program in Wind and Seismic Effects. Gaithesburg, MD: Center for Building Technology.
Jaradat, O. A. 1996. “Seismic evaluation of existing bridge columns.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Washington State Univ.
Jung, S., and J. Ghaboussi. 2006. “Neural network constitutive model for rate-dependent materials.” Comput. Struct. 84 (15): 955–963. https://doi.org/10.1016/j.compstruc.2006.02.015.
Kanda, M., N. Shirai, H. Adachi, and T. Sato. 1988. “Analytical study on elasto-plastic hysteretic behaviors of reinforced concrete members.” Trans. Jpn. Concr. Inst. 10: 257–264.
Karunanithi, N., D. Whitley, and Y. K. Malaiya. 1992. “Using neural networks in reliability prediction.” IEEE Software 9 (4): 53–59. https://doi.org/10.1109/52.143107.
Kenchiku, K. S. 1978. Aseismic analysis of building structural members: A list of experimental results on deformation ability of reinforced concrete columns under large deflection. Tokyo: Building Research Institute, Ministry of Construction.
Kiani, J., C. Camp, S. Pezeshk, and N. Khoshnevis. 2020. “Application of pool-based active learning in reducing the number of required response history analyses.” Comput. Struct. 241: 106355. https://doi.org/10.1016/j.compstruc.2020.106355.
Kokusho, S. 1973. A list of past experimental results of reinforced concrete columns. Tsukuba, Japan: Building Research Institute.
Kono, S., and F. Watanabe. 2000. “Damage evaluation of reinforced concrete columns under multiaxial cyclic loadings.” In Proc., 2nd US–Japan Workshop on Performance-Based Earthquake Engineering Methodology for Reinforced Concrete Building Structures, 229–240. Berkeley, CA: Pacific Earthquake Engineering Research Center.
Kowalsky, M. J., M. J. N. Priestley, and F. Seible. 1999. “Shear and flexural behavior of lightweight concrete bridge columns in seismic regions.” ACI Struct. J. 96 (1): 136–148.
Kunnath, S. K., A. El-Bahy, A. W. Taylor, and W. C. Stone. 1997. Cumulative seismic damage of reinforced concrete bridge piers. Taipei, Taiwan: National Center for Earthquake Engineering Research.
Legeron, F., and P. Paultre. 2000. “Behavior of high-strength concrete columns under cyclic flexure and constant axial load.” ACI Struct. J. 97 (4): 591–601.
Lehman, D. E., and J. P. Moehle. 1998. Seismic performance of well-confined concrete bridge columns. Berkeley, CA: Pacific Earthquake Engineering Research Center.
Lim, K. Y., and D. I. McLean. 1991. “Scale model studies of moment-reducing hinge details in bridge columns.” ACI Struct. J. 88 (4): 465–474.
Liu, K.-Y., W. Witarto, and K.-C. Chang. 2015. “Composed analytical models for seismic assessment of reinforced concrete bridge columns.” Earthquake Eng. Struct. Dyn. 44 (2): 265–281. https://doi.org/10.1002/eqe.2470.
Liu, M., Z. Cao, J. Zhang, L. Wang, C. Huang, and X. Luo. 2020. “Short-term wind speed forecasting based on the Jaya-SVM model.” Int. J. Electr. Power Energy Syst. 121 (8): 106056. https://doi.org/10.1016/j.ijepes.2020.106056.
Lowes, L. N., N. Mitra, and A. Altoontash. 2003. A beam-column joint model for simulating the earthquake response of reinforced concrete frames. Berkeley, CA: Pacific Earthquake Engineering Research Center.
Lu, X., M. Frank, Q. Cheng, Z. Xu, X. Zeng, and S. A. Mahin. 2020. “An open-source framework for regional earthquake loss estimation using the city-scale nonlinear time history analysis.” Earthquake Spectra 36 (2): 806–831. https://doi.org/10.1177/8755293019891724.
Lu, X., X. Yin, and H. Jiang. 2013. “Restoring force model for steel reinforced concrete columns with high steel ratio.” Struct. Concr. 14 (4): 415–422. https://doi.org/10.1002/suco.201200056.
Luo, H., and S. G. Paal. 2018. “Machine learning-based backbone curve model of reinforced concrete columns subjected to cyclic loading reversals.” J. Comput. Civ. Eng. 32 (5): 04018042. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000787.
Lynn, A. 1999. “Seismic evaluation of existing reinforced concrete building colums.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of California at Berkeley.
Lynn, A., J. Moehle, S. Mahin, and W. Holmes. 1996. “Seismic evaluation of existing reinforced concrete building columns.” Earthquake Spectra 12 (4): 715–739. https://doi.org/10.1193/1.1585907.
Mangalathu, S., and J. Jeon. 2020. “Regional seismic risk assessment of infrastructure systems through machine learning: active learning approach.” J. Struct. Eng. 146 (12): 04020269. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002831.
Matamoros, A. B. 1999. Study of drift limits for high-strength concrete columns. Urbana, Illinois: Univ. of Illinois at Urbana-Champaign.
Mazzoni, S., F. McKenna, M. H. Scott, and G. L. Fenves. 2007. OpenSees command language manual. Berkeley, CA: Univ. of California.
McDaniel, C. C. 1997. Scale effects on the shear strength of circular reinforced concrete columns. San Diego: Univ. of California.
Melek, M., and J. W. Wallace. 2004. “Cylic behavior of columns with short lap splices.” ACI Struct. J. 101 (6): 802–811.
Mo, Y.-L., and S. J. Wang. 2000. “Seismic behavior of RC columns with various tie configurations.” J. Struct. Eng. 126 (10): 1122–1130. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:10(1122).
Moyer, M. J., and M. J. Kowalsky. 2003. “Influence of tension strain on buckling of reinforcement in concrete columns.” ACI Struct. J. 100 (1): 75–85.
Muguruma, H., F. Watanabe, and T. Komuro. 1989. “Applicability of high strength concrete to reinforced concrete ductile column.” Trans. Jpn. Concr. Inst. 11: 309–316.
Munro, I. R. M., R. Park, and M. J. N. Priestley. 1976. Seismic behaviour of reinforced concrete bridge piers. Christchurch, New Zealand: Univ. of Canterbury.
Nagasaka, T. 1982. “Effectiveness of steel fiber as web reinforcement in reinforced concrete columns.” Trans. Jpn. Concr. Inst. 108 (4): 493–500.
Nakamura, T., and M. Yoshimura. 2002. “Gravity load collapse of reinforced concrete columns with brittle failure modes.” J. Asian Archit. Build. Eng. 1 (1): 21–27. https://doi.org/10.3130/jaabe.1.21.
Nelson, J. M. 2000. “Damage model calibration for reinforced concrete columns.” Master’s thesis, Dept. of Civil and Environmental Engineering, Univ. of Washington.
Nosho, K., J. Stanton, and G. MacRae. 1996. Retrofit of rectangular reinforced concrete columns using tonen forca tow sheet carbon fiber wrapping. Seattle: Univ. of Washington.
Ohno, T., and T. Nishioka. 1984. “An experimental study on energy absorption capacity of columns in reinforced concrete structures.” Proc. JSCE Struct. Eng./Earthquake Eng. 1 (2): 137–147.
Ohue, M., H. Morimoto, S. Fujii, and S. Morita. 1985. “The behavior of RC short columns failing in splitting bond-shear under dynamic lateral loading.” Trans. Jpn. Concr. Inst. 7: 293–300.
Ono, A., N. Shirai, H. Adachi, and Y. Sakamaki. 1989. “Elasto-plastic behavior of reinforced concrete column with fluctuating axial force.” Trans. Jpn. Concr. Inst. 11: 239–246.
Ousalem, H., T. Kabeyasawa, A. Tasai, and Y. Ohsugi. 2002. “Experimental study on seismic behavior of reinforced concrete columns under constant and variable axial loadings.” In Proc., Annual Conf. of Japan Concrete Institute. Tsukuba, Japan: Japan Concrete Institute.
Pandey, G. R., and H. Mutsuyoshi. 2005. “Seismic performance of reinforced concrete piers with bond-controlled reinforcements.” ACI Struct. J. 102 (2): 295–304.
Paultre, P., F. Légeron, and D. Mongeau. 2001. “Influence of concrete strength and yield strength of ties on the behavior of high-strength concrete columns.” ACI Struct. J. 98 (4): 490–501.
Petrovski, J., and D. Ristic. 1984. Reversed cyclic loading test of bridge column models. Skopje, North Macedonia: Institute of Earthquake Engineering and Engineering Seismology.
Pontangaroa, R. T., M. J. N. Priestley, and R. Park. 1979. Ductility of spirally reinforced concrete columns under seismic loading. Christchurch, New Zealand: Univ. of Canterbury.
Prakash, S., A. Belarbi, and Y.-M. You. 2010. “Seismic performance of circular RC columns subjected to axial force, bending, and torsion with low and moderate shear.” Eng. Struct. 32 (1): 46–59. https://doi.org/10.1016/j.engstruct.2009.08.014.
Prakash, S. S., Q. Li, and A. Belarbi. 2012. “Behavior of circular and square reinforced concrete bridge columns under combined loading including torsion.” ACI Struct. J. 109 (3): 317–327.
Priestley, M. J. N., and G. Benzoni. 1996. “Seismic performance of circular columns with low longitudinal reinforcement ratios.” ACI Struct. J. 93 (4): 474–485.
Priestley, M. J. N., R. Park, and R. T. Potangaroa. 1981. “Ductility of spirally-confined concrete columns.” J. Struct. Div. 107 (1): 181–202. https://doi.org/10.1061/JSDEAG.0005621.
Priestley, M. N., F. Seible, and Y. Xiao. 1994. “Steel jacket retrofitting of reinforced concrete bridge columns for enhanced shear strength—Part 2: Test results and comparison with theory.” ACI Struct. J. 91 (5): 537–551.
Pujol, S. 2002. “Drift capacity of reinforced concrete columns subjected to displacement reversals.” Ph.D. thesis, Dept. of Environmental and Ecological Engineering, Purdue Univ.
Ranf, R. T., M. O. Eberhard, and J. F. Stanton. 2006. “Effects of displacement history on failure of lightly confined bridge columns.” ACI Struct. J. 236 (Special Publication (SP 236-2)): 23–42.
Roeder, C. W., R. Graff, J. Soderstrom, and J. H. Yoo. 2001. Seismic performance of pile-wharf connections. PEER Rep. 2002/07. Berkeley, CA: Pacific Earthquake Engineering Research Center.
Roeder, C. W., R. Graff, J. Soderstrom, and J. H. Yoo. 2005. “Seismic performance of pile-wharf connections.” J. Struct. Eng. 131 (3): 428–437. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:3(428).
Saatcioglu, M., and D. Baingo. 1999. “Circular high-strength concrete columns under simulated seismic loading.” J. Struct. Eng. 125 (3): 272–280. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:3(272).
Saatcioglu, M., and M. Grira. 1999. “Confinement of reinforced concrete columns with welded reinforcement grids.” ACI Struct. J. 96 (1): 29–39.
Saatcioglu, M., and G. Ozcebe. 1989. “Response of reinforced concrete columns to simulated seismic loading.” ACI Struct. J. 86 (1): 3–12.
Sakai, Y., J. Hibi, S. Otani, and H. Aoyama. 1990. “Experimental study on flexural behavior of reinforced concrete columns using high-strength concrete.” Trans. Jpn. Concr. Inst. 12: 323–330.
Sezen, H., and J. P. Moehle. 2002. “Seismic Behavior of Shear-Critical Reinforced Concrete Building Columns.” In Proc., 7th US National Conference on Earthquake Engineering. Boston: Earthquake Engineering Research Institute.
Sezen, H., and J. P. Moehle. 2004. “Shear strength model for lightly reinforced concrete columns.” J. Struct. Eng. 130 (11): 1692–1703. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:11(1692).
Soesianawati, M. T., R. Park, and M. J. N. Priestley. 1986. Limited ductility design of reinforced concrete columns. Christchurch, New Zealand: Univ. of Canterbury.
Spacone, E., F. C. Filippou, and F. F. Taucer. 1996. “Fibre beam–column model for non-linear analysis of RC frames: Part I. Formulation.” Earthquake Eng. Struct. Dyn. 25 (7): 711–725. https://doi.org/10.1002/(SICI)1096-9845(199607)25:7%3C711::AID-EQE576%3E3.0.CO;2-9.
Sritharan, S., M. J. N. Priestley, and F. Seible. 1996. Seismic response of column/cap beam tee connections with cap beam prestressing. San Diego: Univ. of California.
Sugano, S. 1996. “Seismic behavior of reinforced concrete columns which used ultra-high-strength concrete.” In Proc., 11th World Conf. on Earthquake Engineering. Amsterdam, Netherlands: Elsevier.
Takemura, H., and K. Kawashima. 1997. “Effect of loading hysteresis on ductility capacity of bridge piers.” J. Struct. Eng. 43A: 849–858.
Tanaka, H., and R. Park. 1990. Effect of lateral confining reinforcement on the ductile behavior of reinforced concrete columns. Univ. of Canterbury.
Tang, Y. 2013. “Deep learning using linear support vector machines.” In Proc., Workshop on Challenges in Representation Learning. Ithaca, NY: Cornell Univ.
Thomsen, J., and J. Wallace. 1994. “Lateral load behavior of reinforced concrete columns constructed using high-strength materials.” ACI Struct. J. 91 (5): 605–615.
Umehara, H., and J. O. Jirsa. 1982. Shear strength and deterioration of short reinforced concrete columns under cyclic deformations. Austin, TX: Univ. of Texas at Austin.
Umemura, H., and T. Endo. 1970. Report by Umemura Lab. Tokyo: Tokyo Univ.
Vu, N. D., M. J. N. Priestley, F. Seible, and G. Benzoni. 1998. “Seismic response of well confined circular reinforced concrete columns with low aspect ratios.” In Proc., 5th Caltrans Seismic Research Workshop. San Diego: Univ. of California, San Diego.
Watson, S., and R. Park. 1989. Design of reinforced concrete frames of limited ductility. Christchurch, New Zealand: Univ. of Canterbury.
Wehbe, N., M. S. Saiidi, and D. Sanders. 1998. “Confinement of rectangular bridge columns for modrate seismic areas.” National Center Earthquake Eng. Res. Bull. 12 (1): 397–406.
Wight, J. K., and M. A. Sozen. 1973. Shear strength decay in reinforced concrete columns subjected to large deflection reversals. Urbana-Champaign, IL: Univ. of Illinois.
Wong, Y. L., T. Paulay, and M. J. N. Priestley. 1990. Squat circular bridge piers under multi-directional seismic attack. Christchurch, New Zealand: Univ. of Canterbury.
Wong, Y. L., T. Paulay, and M. J. N. Priestley. 1993. “Response of circular reinforced concrete columns to multi-directional seismic attack.” ACI Struct. J. 90 (2): 180–191.
Xiao, Y., and A. Martirossyan. 1998. “Seismic performance of highstrength concrete columns.” J. Struct. Eng. 124 (3): 241–251. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:3(241).
Yalcin, C. 1997. “Seismic evaluation and retrofit of existing reinforced concrete bridge columns.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Ottawa.
Yamanashi, Y., K. Umeda, and N. Yoshikawa. 2013. “Pseudo sigmoid function generator for a superconductive neural network.” IEEE Trans. Appl. Supercond. 23 (3): 1701004. https://doi.org/10.1109/TASC.2012.2228531.
Yarandi, M. S. 2007. “Seismic retrofit and repair of existing reinforced concrete bridge columns by transverse prestressing.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Ottawa.
Yoshimura, M., Y. Takaine, and T. Nakamura. 2003. “Collapse drift of reinforced concrete columns.” J. Struct. Const. Eng. 68 (573): 153–160.
Zahn, F. A., R. Park, and M. J. N. Priestley. 1986. Design of reinforced concrete bridge columns for strength and ductility. Christchurch, New Zealand: Univ. of Canterbury.
Zhao, G., M. Zhang, Y. Li, and D. Li. 2016. “The hysteresis performance and restoring force model for corroded reinforced concrete frame columns.” J. Eng. 2016: 1–19. https://doi.org/10.1155/2016/7615385.
Zhao, J., and S. Sritharan. 2007. “Modeling of strain penetration effects in fiber-based analysis of reinforced concrete structures.” ACI Struct. J. 104 (2): 133–141.
Zhou, X., Y. Higashi, W. Jiang, and Y. Shimizu. 1985. “Behavior of reinforced concrete column under high axial load.” Trans. Jpn. Concr. Inst. 7: 385–392.
Zhou, X., T. Satoh, W. Jiang, A. Ono, and Y. Shimizu. 1987. “Behavior of reinforced concrete short column under high axial load.” Trans. Jpn. Concr. Inst. 9: 541–548.
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Received: Sep 17, 2020
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- Dong Liang, Fan Xue, Integrating automated machine learning and interpretability analysis in architecture, engineering and construction industry: A case of identifying failure modes of reinforced concrete shear walls, Computers in Industry, 10.1016/j.compind.2023.103883, 147, (103883), (2023).
- Congzhen Xiao, Baojuan Qiao, Jianhui Li, Zhiyong Yang, Jiannan Ding, Prediction of Transverse Reinforcement of RC Columns Using Machine Learning Techniques, Advances in Civil Engineering, 10.1155/2022/2923069, 2022, (1-15), (2022).
- Xiaowei Wang, Ram K. Mazumder, Babak Salarieh, Abdullahi M. Salman, Abdollah Shafieezadeh, Yue Li, Machine Learning for Risk and Resilience Assessment in Structural Engineering: Progress and Future Trends, Journal of Structural Engineering, 10.1061/(ASCE)ST.1943-541X.0003392, 148, 8, (2022).
- Xiangyong Ni, Qingsong Xiong, Qingzhao Kong, Cheng Yuan, Deep HystereticNet to predict hysteretic performance of RC columns against cyclic loading, Engineering Structures, 10.1016/j.engstruct.2022.115103, 273, (115103), (2022).
- Xin-Yu Zhao, Jin-Xin Chen, Bo Wu, An interpretable ensemble-learning-based open source model for evaluating the fire resistance of concrete-filled steel tubular columns, Engineering Structures, 10.1016/j.engstruct.2022.114886, 270, (114886), (2022).
- Zhen Wang, Tongxu Liu, Zilin Long, Jingquan Wang, Jian Zhang, A machine-learning-based model for predicting the effective stiffness of precast concrete columns, Engineering Structures, 10.1016/j.engstruct.2022.114224, 260, (114224), (2022).