Technical Papers
Feb 24, 2024

ANN-Based Model for Predicting the Nonlinear Response of Flush Endplate Connections

Publication: Journal of Structural Engineering
Volume 150, Issue 5

Abstract

Predicting the moment-rotation response parameters of semirigid steel connections can be challenging given the many components contributing to the connection’s elastic and plastic deformations. This is the case for the popular flush endplate beam-to-column connections (FEPCs). The literature has highlighted the limitations of current analytical, mechanical, and traditional empirical models in providing accurate predictions of the FEPCs’ moment-rotation response. Considering this limitation, machine-learning methods have gained wide attention recently in structural engineering applications to address problems associated with complex structural deformation and damage phenomena. To that end, the superior nonlinearity of artificial neural networks (ANN) is employed herein to predict the response characteristics of FEPCs. A large data set of about 200 specimens, collected from past experimental programs, is utilized to train the ANN for predicting the bilinear response of FEPCs including strain hardening. The paper describes the deduction of the response parameters from test data using data fitting, the determination of significant geometric, material, and layout features, the ANN architecture and algorithms, and the accuracy metrics of the new model. The Shapley algorithm is used to explain the inner workings of the model. A computer tool as well as a descriptive guide to the mathematical construction of the ANN are provided to aid with model implementation in practice.

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Data Availability Statement

The experimental database upon which the current work is based as well as the developed computer tool are publicly available for download through the second author’s GitHub repository. Other data, models, or code that support the findings of this study can be made available from the corresponding author upon reasonable request.

Acknowledgments

This work was conducted at the National Infrastructure Laboratory, University of Southampton (UoS). The authors gratefully acknowledge the financial support provided by UoS to the first author as part of his studentship.

References

Abdalla, K. M., and G. E. Stavroulakis. 1995. “A backpropagation neural network model for semi-rigid steel connections.” Comput.-Aided Civ. Infrastruct. Eng. 10 (2): 77–87. https://doi.org/10.1111/j.1467-8667.1995.tb00271.x.
Abolmaali, A., J. H. Matthys, M. Farooqi, and Y. Choi. 2005. “Development of moment–rotation model equations for flush end-plate connections.” J. Constr. Steel Res. 61 (12): 1595–1612. https://doi.org/10.1016/j.jcsr.2005.05.004.
Aggarwal, A. K. 1994. “Comparative tests on end plate beam-to-column connections.” J. Constr. Steel Res. 30 (2): 151–175. https://doi.org/10.1016/0143-974X(94)90048-5.
AISC. 2016. Prequalified connections for special and intermediate steel moment frames for seismic applications. ANSI/AISC 358-16. Chicago: AISC.
Benterkia, Z. 1991. “End-plate connections and analysis of semi-rigid steel frames.” Ph.D. thesis, Dept. of Engineering, Univ. of Warwick.
Bose, B., J. K. Youngson, and Z. M. Wang. 1996. “An appraisal of the design rules in Eurocode 3 for bolted end-plate joints by comparison with experimental results.” Proc. Inst. Civ. Eng. Struct. Build. 116 (2): 221–234. https://doi.org/10.1680/istbu.1996.28289.
Broderick, B. M., and A. W. Thomson. 2002. “The response of flush end-plate joints under earthquake loading.” J. Constr. Steel Res. 58 (9): 1161–1175. https://doi.org/10.1016/S0143-974X(01)00073-6.
Brown, N. D., and D. Anderson. 2001. “Structural properties of composite major axis end plate connections.” J. Constr. Steel Res. 57 (3): 327–349. https://doi.org/10.1016/S0143-974X(00)00034-1.
Brown, N. D., A. F. Hughes, and D. Anderson. 2001. “Prediction of the initial stiffness of ductile end-plate steel connections.” Proc. Inst. Civ. Eng. Struct. Build. 146 (1): 17–29. https://doi.org/10.1680/stbu.2001.146.1.17.
CEN (European Committee for Standardization). 2005. Eurocode 3—Design of steel structures, part 1-8: Design of joints. BS-EN 1993-1-8-2006. Brussels, Belgium: CEN.
De Lima, L. R. O., P. D. S. Vellasco, S. A. L. De Andrade, J. G. S. Da Silva, and M. M. B. R. Vellasco. 2005. “Neural networks assessment of beam-to-column joints.” J. Braz. Soc. Mech. Sci. Eng. 27 (3): 314–324. https://doi.org/10.1590/S1678-58782005000300015.
Ding, Z., and A. Elkady. 2023a. “Accuracy assessment of predictive models for semi-rigid extended end-plate connections.” In Proc., 10th Eurosteel Conf. Hoboken, NJ: Wiley. https://doi.org/10.1002/cepa.2242.
Ding, Z., and A. Elkady. 2023b. “Semirigid bolted end-plate moment connections: Review and experimental-based assessment of available predictive models.” J. Struct. Eng. 149 (9): 04023117. https://doi.org/10.1061/JSENDH.STENG-11797.
Eatherton, M. R., T. N. Nguyen, and T. M. Murray. 2021. Yield line patterns for end-plate moment connections. Blacksburg, VA: Virginia Polytechnic Institute and State Univ.
Eladly, M. M., and B. W. Schafer. 2021. “Numerical and analytical study of stainless steel beam-to-column extended end-plate connections.” Eng. Struct. 240 (Mar): 112392. https://doi.org/10.1016/j.engstruct.2021.112392.
Elflah, M., M. Theofanous, S. Dirar, and H. Yuan. 2019. “Behaviour of stainless steel beam-to-column joints—Part 1: Experimental investigation.” J. Constr. Steel Res. 152 (Feb): 183–193. https://doi.org/10.1016/j.jcsr.2018.02.040.
Elkady, A. 2022. “Response characteristics of flush end-plate connections.” Eng. Struct. 269 (Oct): 114856. https://doi.org/10.1016/j.engstruct.2022.114856.
Elkady, A. 2023. Semi-rigid connections experimental database (SRConED). GitHub. Accessed May 1, 2023. https://github.com/amaelkady/SRConED.
Elkady, A., and L. Mak. 2022. “Data driven evaluation of existing numerical modelling guidelines for semi-rigid connections.” In Proc., 10th Int. Conf. on Behaviour of Steel Structures in Seismic Areas (STESSA), 244–251. Berlin: Springer.
Faella, C., V. Piluso, and G. Rizzano. 1998. “Experimental analysis of bolted connections: Snug versus preloaded bolts.” J. Struct. Eng. 124 (7): 765–774. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:7(765).
Faridmehr, I., M. Nikoo, R. Pucinotti, and C. Bedon. 2021. “Application of component-based mechanical models and artificial intelligence to bolted beam-to-column connections.” Appl. Sci. 11 (5): 2297. https://doi.org/10.3390/app11052297.
Frye, M. J., and G. A. Morris. 1975. “Analysis of flexibly connected steel frames.” Can. J. Civ. Eng. 2 (3): 280–291. https://doi.org/10.1139/l75-026.
Ghassemieh, M., and M. Nasseri. 2012. “Evaluation of stiffened end-plate moment connection through optimized artificial neural network.” J. Software Eng. Appl. 5 (3): 162. https://doi.org/10.4236/jsea.2012.53023.
Hellquist, T. I. 1966. “The behaviour of end plate connections.” M.Sc. thesis, Dept. of Civil Engineering, Univ. of Saskatchewan.
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.
Izzuddin, B. A., A. G. Vlassis, A. Y. Elghazouli, and D. A. Nethercot. 2007. “Assessment of progressive collapse in multi-storey buildings.” Proc. Inst. Civ. Eng. Struct. Build. 160 (4): 197–205. https://doi.org/10.1680/stbu.2007.160.4.197.
Jaspart, J.-P., and R. Maquoi. 1995. “Effect of bolt preloading on joint behaviour.” In Proc., 1st European Conf. on Steel Structures, 219–226. London: Taylor & Francis.
Kennedy, J., and R. Eberhart. 1995. “Particle swarm optimization.” In Proc., Int. Conf. on Neural Networks (ICNN’95), 1942–1948. New York: IEEE. https://doi.org/10.1109/ICNN.1995.488968.
Kline, D. P. 1989. “Performance of snug tight bolts in moment end-plate connections.” M.Sc. thesis, Dept. of Civil Engineering, Virginia Polytechnic Institute and State Univ.
Kong, Z., S. Hong, Q.-V. Vu, X. Cao, S.-E. Kim, and B. Yu. 2020. “New equations for predicting initial stiffness and ultimate moment of flush end-plate connections.” J. Constr. Steel Res. 175 (Mar): 106336. https://doi.org/10.1016/j.jcsr.2020.106336.
Kottari, A. K., A. E. Charalampakis, and V. K. Koumousis. 2014. “A consistent degrading Bouc–Wen model.” Eng. Struct. 60 (Feb): 235–240. https://doi.org/10.1016/j.engstruct.2013.12.025.
Kozlowski, A., R. Kowalczyk, and M. Gizejowski. 2008. “Estimation of the initial stiffness and moment resistance of steel and composite joints.” In Proc., 8th World Congress, Council on Tall Buildings and Urban Habitat (CTBUH), Chicago: Council on Tall Buildings and Urban Habitat.
Kueh, A. B. H. 2021. “Artificial neural network and regressed beam-column connection explicit mathematical moment-rotation expressions.” J. Build. Eng. 43 (Mar): 103195. https://doi.org/10.1016/j.jobe.2021.103195.
Kukla, D., and A. Kozlowski. 2021. “Parametric study of steel flush and extended end-plate joints under column loss scenario.” Eng. Struct. 237 (Jun): 112204. https://doi.org/10.1016/j.engstruct.2021.112204.
Kukreti, A. R., T. M. Murray, and A. Abolmaali. 1987. “End-plate connection moment-rotation relationship.” J. Constr. Steel Res. 8 (1): 137–157. https://doi.org/10.1016/0143-974X(87)90057-5.
Levenberg, K. 1944. “A method for the solution of certain non-linear problems in least squares.” Q. Appl. Math. 2 (2): 164–168. https://doi.org/10.1090/qam/10666.
Lignos, D. G., A. Hartloper, A. Elkady, G. G. Deierlein, and R. Hamburger. 2019. “Proposed updates to the ASCE 41 nonlinear modeling parameters for wide-flange steel columns in support of performance-based seismic engineering.” J. Struct. Eng. 145 (9): 04019083. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002353.
Lundberg, S. M., and S.-I. Lee. 2017. “A unified approach to interpreting model predictions.” In Proc., 31st Conf. on Advances in Neural Information Processing Systems (NIPS 2017), 1–10. Red Hook, NY: Curran Associates.
Mak, L., and A. Elkady. 2021. “Experimental database for steel flush end-plate connections.” J. Struct. Eng. 147 (7): 04721006. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003064.
Mann, A. P., and L. J. Morris. 1981. “Significance of lack of fit-flush beam-column connections.” In Proc., Joints in Structural Steelwork, 6–22. London: Pentech Press.
Marquardt, D. W. 1963. “An algorithm for least-squares estimation of nonlinear parameters.” J. Soc. Ind. Appl. Math. 11 (2): 431–441. https://doi.org/10.1137/0111030.
Murray, T. M., and W. L. Shoemaker. 2002. “Flush and extended multiple-row moment end-plate connections.” In Design guide 16. Chicago: AISC.
Ostrander, J. R. 1970. “An experimental investigation of end plate connections.” M.Sc. thesis, Dept. of Civil Engineering, Univ. of Saskatchewan.
Ostrowski, K., and A. Kozłowski. 2017. “Rotation capacity of bolted flush end-plate stiffened beam-to-column connection.” Civ. Environ. Eng. Rep. 25 (2): 173–184. https://doi.org/10.1515/ceer-2017-0028.
Prescott, A. T. 1987. “The performance of end-plate connections in steel structures and their influence on overall structural behaviour.” Ph.D. thesis, Division of Civil Engineering, Hatfield Polytechnic.
Qiang, X., F. S. K. Bijlaard, H. Kolstein, and X. Jiang. 2014. “Behaviour of beam-to-column high strength steel endplate connections under fire conditions—Part 1: Experimental study.” Eng. Struct. 64 (Mar): 23–38. https://doi.org/10.1016/j.engstruct.2014.01.028.
Ramberg, W., and W. R. Osgood. 1943. Description of stress-strain curves by three parameters. Washington, DC: National Advisory Committee for Aeronautics.
Richard, R. M., and B. J. Abbott. 1975. “versatile elastic-plastic stress-strain formula.” J. Eng. Mech. Div. 101 (4): 511–515. https://doi.org/10.1061/JMCEA3.0002047.
Rölle, L. 2013. “The load-bearing and deformation behavior of bolted steel and composite joints in fully plastic design and in extraordinary design situations.” [In German.] Ph.D. thesis, Faculty of Civil and Environmental Engineering, Univ. of Stuttgart.
Skiadopoulos, A., A. Elkady, and D. G. Lignos. 2021. “Proposed panel zone model for seismic design of steel moment-resisting frames.” J. Struct. Eng. 147 (4): 04021006. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002935.
Song, Y., B. Uy, D. Li, and J. Wang. 2022. “Ultimate behaviour and rotation capacity of stainless steel end-plate connections.” Steel Compos. Struct. 42 (4): 569–590. https://doi.org/10.12989/scs.2022.42.4.569.
Thomson, A. W., and B. M. Broderick. 2002. “Earthquake resistance of flush end-plate steel joints for moment frames.” Proc. Inst. Civ. Eng. Struct. Build. 152 (2): 157–165. https://doi.org/10.1680/stbu.2002.152.2.157.
Zoetemeijer, P. 1974. “A design method for the tension side of statically loaded, bolted beam-to-column connections.” HERON 20 (1): 1947.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 150Issue 5May 2024

History

Received: Aug 18, 2023
Accepted: Dec 1, 2023
Published online: Feb 24, 2024
Published in print: May 1, 2024
Discussion open until: Jul 24, 2024

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Gregory Georgiou, S.M.ASCE [email protected]
Dept. of Civil, Maritime and Environmental Engineering, Univ. of Southampton, Burgess Rd., Boldrewood Campus, Southampton SO17 7QF, UK. Email: [email protected]
Dept. of Civil, Maritime and Environmental Engineering, Univ. of Southampton, Burgess Rd., Boldrewood Campus, Southampton SO17 7QF, UK (corresponding author). ORCID: https://orcid.org/0000-0002-1214-6379. Email: [email protected]

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