Abstract
During the life cycle of buildings and infrastructure systems, the deflection of reinforced-concrete members generally increases due to both internal and external factors. Accurate forecasting of long-term deflection of these members can significantly enhance the effectiveness of structural maintenance processes. This research develops a hybrid data-driven method which employs the extreme gradient boosting machine and the particle swarm optimization metaheuristic for predicting long-term deflections of reinforced-concrete members. The former, a machine learning technique, generalizes a non-linear mapping function that helps to infer long-term deflection results from the input data. The later, a swarm-based metaheuristic, aims at optimizing the machine learning model by fine-tuning its hyper-parameters. The proposed hybridization of machine learning and swarm intelligence is constructed and verified by a dataset consisting of 217 experiments. The experiment results, supported by statistical tests, point out that the hybrid framework is able to attain good predictive performances with average root-mean-square error of 11.38 (a reduction of 17.4%), and average coefficient of determination of 0.88 (an increase of 6.0%) compared to the non-hybrid model. These results also outperform those obtained by other popular techniques, including Backpropagation Neural Networks and Regression Tree in several popular benchmarks, such as root-mean-square error, mean absolute percentage error, and the coefficient of determination R2. This is backed up by statistical tests with the level of significance \(\alpha = 0.05\). Therefore, the newly developed model can be a promising tool to assist civil engineers in forecasting deflections of reinforced-concrete members.
Similar content being viewed by others
Notes
XGBoost can also be used for classification. In this case, classification trees are used instead.
References
Aghayere AO (2019) Reinforced concrete design. Pearson
Al-Zwainy FMS, Zaki RIK, Al-saadi AM, Ibraheem HF (2018) Validity of artificial neural modeling to estimate time-dependent deflection of reinforced concrete beams Cogent. Engineering 5:1–15. https://doi.org/10.1080/23311916.2018.1477485
Amin G (2020) A Critical Review. ACI Struct J. https://doi.org/10.14359/9648
Araújo JMd (2005) Improvement of the ACI method for calculation of deflections of reinforced concrete beams
Bacinskas D, Kaklauskas G, Gribniak V, Sung W-P, Shih M-H (2012) Layer model for long-Term deflection analysis of cracked reinforced concrete bending members. Mech Time Depend Mater 16:117–127. https://doi.org/10.1007/s11043-011-9138-9
Bacinskas D, Rumsys D, Sokolov A, Kaklauskas G (2019) Deformation analysis of reinforced beams made of lightweight aggregate concrete. Materials 13:20. https://doi.org/10.3390/ma13010020
Bakoss SL, Gilbert RI, Faulkes KA, Pulmano VA (1982) Long-term deflections of reinforced concrete beams. Mag Concrete Res 34:203–212
Balevičius R, Dulinskas E (2010) On the prediction of non-linear creep strains. J Civil Eng Manag 16:382–386. https://doi.org/10.3846/jcem.2010.43
Bernard E, Pierre EH (1990) Long-term deflections of reinforced concrete beams: reconsideration of their validity. ACI Struct J. https://doi.org/10.14359/2744
Branson DE (1963) Instantaneous and time-dependent deflections of simple and continuous reinforced concrete beams. State Highway Dept, Alabama
Branson DE (1977) Deformation of concrete structures. McGraw-Hill Companies, New York
Bui D-K, Nguyen T, Chou J-S, Nguyen-Xuan H, Ngo TD (2018) A modified firefly algorithm-artificial neural network expert system for predicting compressive and tensile strength of high-performance concrete. Constr Build Mater 180:320–333. https://doi.org/10.1016/j.conbuildmat.2018.05.201
Chen T (2010) Story and essons behind the evolution of xgboost. https://homes.cs.washington.edu/~tqchen/2016/03/10/story-and-lessons-behind-the-evolution-of-xgboost.html. Accessed 2 Mar 2020
Chen T (2014) Introduction to boosted trees. University of Washington, Seattle
Chen T, Guestrin C (2016) XGBoost: a scalable tree boosting system. In: Paper presented at the proceedings of the 22nd ACM SIGKDD International Conference on knowledge discovery and data mining, San Francisco
Cloete R, Robberts J, van Rensburg B (2007) A simplified finite element model for time-dependent deflections of reinforced concrete slabs. J S Afr Inst Civil Eng 49
Code P (2005) EUROCODE 2: design of concrete structures-part 1–1: general rules and rules for buildings
Committee (2008) A building code requirements for structural concrete (ACI 318-08) and commentary. In: American Concrete Institute
Espion B (1988a) Long term sustained loading tests on reinforced concrete beams. Bull Serv Génie Civil
Espion B (1988b) Long term sustained loading tests on reinforced concrete beams
Fan J, Wu L, Zhang F, Cai H, Zeng W, Wang X, Zou H (2019) Empirical and machine learning models for predicting daily global solar radiation from sunshine duration: a review and case study in China. Renew Sustain Energy Rev 100:186–212. https://doi.org/10.1016/j.rser.2018.10.018
Ferrario E, Pedroni N, Zio E, Lopez-Caballero F (2017) Bootstrapped artificial neural networks for the seismic analysis of structural systems. Struct Saf 67:70–84. https://doi.org/10.1016/j.strusafe.2017.03.003
Filz George M, Griffiths DV (2000). Proceedings. https://doi.org/10.1061/9780784405024
Friedman J, Hastie T, Tibshirani R (2000) Additive logistic regression: a statistical view of boosting (With discussion and a rejoinder by the authors). Ann Statist 28:337–407. https://doi.org/10.1214/aos/1016218223
Ghadimi S, Kourehli SS (2017) Multiple crack identification in Euler beams using extreme learning machine. KSCE J Civil Eng 21:389–396. https://doi.org/10.1007/s12205-016-1078-0
Gholamhoseini A (2016) Modified creep and shrinkage prediction model B3 for serviceability limit state analysis of composite slabs. Int J Adv Struct Eng 8:87–101. https://doi.org/10.1007/s40091-016-0117-x
Gilbert RI (1999a) Deflection calculation for reinforced concrete structures—why we sometimes get it wrong. ACI Struct J. https://doi.org/10.14359/779
Gilbert RI (1999b) Deflection calculation for reinforced concrete structures—why we sometimes get it wrong. Struct J 96:1027–1032
Gribniak V, Bacinskas D, Kacianauskas R, Kaklauskas G, Torres L (2013) Long-term deflections of reinforced concrete elements: accuracy analysis of predictions by different methods. Mech Time Depend Mater 17:297–313. https://doi.org/10.1007/s11043-012-9184-y
Gribniak V, Cervenka V, Kaklauskas G (2013) Deflection prediction of reinforced concrete beams by design codes and computer simulation. Eng Struct 56:2175–2186. https://doi.org/10.1016/j.engstruct.2013.08.045
Gribniak V, Kaklauskas G, Idnurm S, Bacinskas D (2010) Finite element mesh size effect on deformation predictions of reinforced concrete Bridge Girder. Baltic J Road Bridge Eng 5:19–27. https://doi.org/10.3846/bjrbe.2010.03
Hacibeyoglu M, Ibrahim MH (2018) A novel multimean particle swarm optimization algorithm for nonlinear continuous optimization: application to feed-forward neural network training. Sci Program 2018:9. https://doi.org/10.1155/2018/1435810
Halahla A (2018) Study the behavior of reinforced concrete beam using finite element analysis. In: Paper presented at the 3rd World Congress on Civil, Structural, and Environmental Engineering (CSEE’18),
Heaton J (2015) Artificial intelligence for humans, vol 3 deep learning and neural networks. Heaton Research Inc., Washington
Hoang N-D (2019) Estimating punching shear capacity of steel fibre reinforced concrete slabs using sequential piecewise multiple linear regression and artificial neural network. Measurement 137:58–70. https://doi.org/10.1016/j.measurement.2019.01.035
Hoang N-D, Tran X-L, Nguyen H (2019) Predicting ultimate bond strength of corroded reinforcement and surrounding concrete using a metaheuristic optimized least squares support vector regression model. Neural Comput Appl. https://doi.org/10.1007/s00521-019-04258-x
Kaklauskas G (2004) Flexural layered deformational model of reinforced concrete members. Mag Concr Res 56:575–584. https://doi.org/10.1680/macr.56.10.575.53678
Kara IF, Dundar C (2009) Prediction of deflection of reinforced concrete shear walls. Adv Eng Softw 40:777–785. https://doi.org/10.1016/j.advengsoft.2009.02.002
Kart O, Ulucay O, Bingol B, Isik Z (2020) A machine learning-based recommendation model for bipartite networks. Phys A 553:124287. https://doi.org/10.1016/j.physa.2020.124287
Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of ICNN'95—International conference on neural networks, 27 Nov.-1 Dec. 1995, vol 1944, pp 1942–1948. https://doi.org/10.1109/ICNN.1995.488968
Kurtoglu AE, Gulsan ME, Abdi HA, Kamil MA, Cevik A (2017) Fiber reinforced concrete corbels: modeling shear strength via symbolic regression. Comput Concr 20:065–075
Li S, Fang H, Liu X (2018) Parameter optimization of support vector regression based on sine cosine algorithm. Expert Syst Appl 91:63–77. https://doi.org/10.1016/j.eswa.2017.08.038
Liu W, Liu WD, Gu J (2020) Predictive model for water absorption in sublayers using a joint distribution adaption based XGBoost transfer learning method. J Petrol Sci Eng 188:106937. https://doi.org/10.1016/j.petrol.2020.106937
Liu W, Liu WD, Gu J, Shen X (2019) Predictive model for water absorption in sublayers using a machine learning method. J Petrol Sci Eng 182:106367. https://doi.org/10.1016/j.petrol.2019.106367
Marí AR, Bairán JM, Duarte N (2010) Long-term deflections in cracked reinforced concrete flexural members. Eng Struct 32:829–842. https://doi.org/10.1016/j.engstruct.2009.12.009
Mirrashid M, Naderpour H (2020) Recent trends in prediction of concrete elements behavior using soft computing (2010–2020). Arch Comput Methods Eng. https://doi.org/10.1007/s11831-020-09500-7
Nguyen H (2020) PSO-XGBoost hybrid model to predict long-term deflection of reinforced concrete members. https://doi.org/10.5281/zenodo.3932822
Nguyen H, Vu T, Vo TP, Thai H-T (2021) Efficient machine learning models for prediction of concrete strengths. Constr Build Mater 266:120950. https://doi.org/10.1016/j.conbuildmat.2020.120950
Nguyen T-D, Tran T-H, Hoang N-D (2020) Prediction of interface yield stress and plastic viscosity of fresh concrete using a hybrid machine learning approach. Adv Eng Inform 44:101057. https://doi.org/10.1016/j.aei.2020.101057
Nguyen T-D, Tran T-H, Nguyen H, Nhat-Duc H (2019) A success history-based adaptive differential evolution optimized support vector regression for estimating plastic viscosity of fresh concrete. Eng Comput. https://doi.org/10.1007/s00366-019-00899-7
Nhu V-H et al (2020) Effectiveness assessment of Keras based deep learning with different robust optimization algorithms for shallow landslide susceptibility mapping at tropical area. CATENA 188:104458. https://doi.org/10.1016/j.catena.2020.104458
Oh CK, Beck JL (2018) A Bayesian learning method for structural damage assessment of phase I IASC-ASCE benchmark problem. KSCE J Civil Eng 22:987–992. https://doi.org/10.1007/s12205-018-1290-1
Panfilov DA, Pischulev AA (2014) The methodology for calculating deflections of reinforced concrete beams exposed to short duration uniform loading (based on nonlinear deformation model). Procedia Eng 91:188–193. https://doi.org/10.1016/j.proeng.2014.12.044
Panfilov DA, Pischulev AA (2015) The analysis of deflections of pre-stressed reinforced concrete beams exposed to short duration uniform loading. Procedia Eng 111:619–625. https://doi.org/10.1016/j.proeng.2015.07.055
Pham A-D, Ngo N-T, Nguyen T-K (2020) Machine learning for predicting long-term deflections in reinforce concrete flexural structures. J Comput Design Eng 7:95–106. https://doi.org/10.1093/jcde/qwaa010
Pham K, Kim D, Park S, Choi H (2021) Ensemble learning-based classification models for slope stability analysis. CATENA 196:104886. https://doi.org/10.1016/j.catena.2020.104886
Prayogo D, Cheng M-Y, Wu Y-W, Tran D-H (2019) Combining machine learning models via adaptive ensemble weighting for prediction of shear capacity of reinforced-concrete deep beams. Eng Comput. https://doi.org/10.1007/s00366-019-00753-w
Ribeiro MHDM, dos Santos Coelho L (2020) Ensemble approach based on bagging, boosting and stacking for short-term prediction in agribusiness time series. Appl Soft Comput 86:105837. https://doi.org/10.1016/j.asoc.2019.105837
Rodriguez A (2007) Short- and long-term deflections in reinforced, prestressed, and composite concrete beams. J Struct Eng 133:495–506. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:4(495)
Sadowski Ł, Hoła J, Czarnecki S, Wang D (2018) Pull-off adhesion prediction of variable thick overlay to the substrate. Autom Constr 85:10–23. https://doi.org/10.1016/j.autcon.2017.10.001
Sadowski Ł, Nikoo M, Shariq M, Joker E, Czarnecki S (2019) The nature-inspired metaheuristic method for predicting the creep strain of green concrete containing ground granulated blast furnace slag. Materials 12:293
Shi Y, Eberhart R (1998) A modified particle swarm optimizer. In: 1998 IEEE International Conference on evolutionary computation proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98TH8360), 4–9 May 1998, pp 69–73. https://doi.org/10.1109/ICEC.1998.699146
Shin Y (2019) Application of Stochastic gradient boosting approach to early prediction of safety accidents at construction site. Adv Civil Eng 2019:1574297. https://doi.org/10.1155/2019/1574297
Słoński M, Schabowicz K, Krawczyk E (2020) Detection of flaws in concrete using ultrasonic tomography and convolutional neural networks. Materials 13:1557
Tang J, Zheng L, Han C, Liu F, Cai J (2020) Traffic incident clearance time prediction and influencing factor analysis using extreme gradient boosting model. J Adv Transp 2020:6401082. https://doi.org/10.1155/2020/6401082
Tien Bui D, Hoang N-D, Nguyen H, Tran X-L (2019) Spatial prediction of shallow landslide using Bat algorithm optimized machine learning approach: a case study in Lang Son Province, Vietnam. Adv Eng Inf 42:100978. https://doi.org/10.1016/j.aei.2019.100978
Torres-Barrán A, Alonso Á, Dorronsoro JR (2019) Regression tree ensembles for wind energy and solar radiation prediction. Neurocomputing 326–327:151–160. https://doi.org/10.1016/j.neucom.2017.05.104
Torres L, López-Almansa F, Bozzo L (2004) Tension-stiffening model for cracked flexural concrete members. J Struct Eng. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:8(1242)
Zhang W, Wu C, Zhong H, Li Y, Wang L (2020) Prediction of undrained shear strength using extreme gradient boosting and random forest based on Bayesian optimization. Geosci Front. https://doi.org/10.1016/j.gsf.2020.03.007
Acknowledgements
This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 105.08-2017.302.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors confirm that there are no conflicts of interest regarding its publication.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary Information
Below is the link to the electronic supplementary material. The link to the source code of PSO-XGBoost can be openly accessed at: https://zenodo.org/record/3932822#.X_vHq9gzaUk
Rights and permissions
About this article
Cite this article
Nguyen, H., Nguyen, NM., Cao, MT. et al. Prediction of long-term deflections of reinforced-concrete members using a novel swarm optimized extreme gradient boosting machine. Engineering with Computers 38 (Suppl 2), 1255–1267 (2022). https://doi.org/10.1007/s00366-020-01260-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00366-020-01260-z