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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

Postal Subscription Code 80-968

2018 Impact Factor: 1.272

Front. Struct. Civ. Eng.    2024, Vol. 18 Issue (4) : 551-567    https://doi.org/10.1007/s11709-024-1091-1
Engineering punching shear strength of flat slabs predicted by nature-inspired metaheuristic optimized regression system
Dinh-Nhat TRUONG1, Van-Lan TO1, Gia Toai TRUONG2(), Hyoun-Seung JANG3()
1. Department of Civil Engineering, University of Architecture Ho Chi Minh City, Ho Chi Minh City 700000, Vietnam
2. Faculty of Civil Engineering and Technology, Dong A University, Da Nang City 550000, Vietnam
3. School of Architecture, Seoul National University of Science and Technology, Seoul 01811, Republic of Korea
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Abstract

Reinforced concrete (RC) flat slabs, a popular choice in construction due to their flexibility, are susceptible to sudden and brittle punching shear failure. Existing design methods often exhibit significant bias and variability. Accurate estimation of punching shear strength in RC flat slabs is crucial for effective concrete structure design and management. This study introduces a novel computation method, the jellyfish-least square support vector machine (JS-LSSVR) hybrid model, to predict punching shear strength. By combining machine learning (LSSVR) with jellyfish swarm (JS) intelligence, this hybrid model ensures precise and reliable predictions. The model’s development utilizes a real-world experimental data set. Comparison with seven established optimizers, including artificial bee colony (ABC), differential evolution (DE), genetic algorithm (GA), and others, as well as existing machine learning (ML)-based models and design codes, validates the superiority of the JS-LSSVR hybrid model. This innovative approach significantly enhances prediction accuracy, providing valuable support for civil engineers in estimating RC flat slab punching shear strength.

Keywords punching shear strength      reinforced concrete flat slabs      machine learning      jellyfish search      support vector machine     
Corresponding Author(s): Gia Toai TRUONG,Hyoun-Seung JANG   
Just Accepted Date: 08 May 2024   Online First Date: 29 May 2024    Issue Date: 13 June 2024
 Cite this article:   
Dinh-Nhat TRUONG,Van-Lan TO,Gia Toai TRUONG, et al. Engineering punching shear strength of flat slabs predicted by nature-inspired metaheuristic optimized regression system[J]. Front. Struct. Civ. Eng., 2024, 18(4): 551-567.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-024-1091-1
https://academic.hep.com.cn/fsce/EN/Y2024/V18/I4/551
Fig.1  Flowchart of the JS-LSSVR hybrid model.
SymbolAttributeUnitTypeMinMaxStd.
X1specimen lengthmnumeric0.20005.70000.6657
X2column sizemnumeric0.02500.90100.1123
X3effective depthmnumeric0.03500.50000.0592
X4concrete compressive strengthMPanumeric8.5915119.000019.2422
X5yield strength of steel re-barsMPanumeric255.000811.000094.1199
X6reinforcement ratio at the top of the slab0.00220.22500.0148
X7reinforcement ratio at the bottom of the slab0.00000.01800.0036
X8specimen thicknessmnumeric0.04550.76200.0780
X9elastic modulus of concreteMPanumeric13776.332051270.94696827.3820
X10square column typecategorical01
X11circle column typecategorical01
Ypunching shear resistanceMNnumeric0.01102.68100.4175
Tab.1  Statistical characteristics of punching shear strength data set
Fig.2  Punching shear failure mode in flat slabs.
Fig.3  Feature correlation matrix for punching shear strength data set.
Fig.4  Box plot of the original data set (unit: MN).
Fold No.Regularization parameter, CKernel parameter, γ
12.0230 × 1013116811.2957
23.4279 × 101359433275.6036
31.9604 × 1013190384.6682
42.6947 × 1013215769.0747
5703.64726.3849
65.1162 × 101384469.8523
71.1625 × 101439003.8533
83.3484 × 1013128558322.1544
93.5765 × 101352169046.4106
101.7363 × 101339534306.2050
Tab.2  Optimal values for least squares SVR hyperparameters
Fold No.Learning dataTest data
RMSEMAERRMSEMAER
10.00120.03630.98150.00290.05540.9451
20.00550.04970.95990.01450.04190.9715
30.01300.04210.97680.00790.04420.9718
40.00350.04260.97330.00370.04790.9755
50.00000.01910.99420.00820.04000.9757
60.01350.03680.98410.00290.04170.9446
70.01840.04700.97630.00410.06840.9432
80.02340.05690.95470.00490.06290.9149
90.00970.05100.96270.00880.05550.9264
100.00170.04870.96290.00940.04470.9558
Min0.00000.01910.95470.00290.04000.9149
Max0.02340.05690.99420.01450.06840.9757
Average0.00900.04300.97260.00670.05030.9524
Tab.3  Optimal values for least squares SVR hyperparameters
Fig.5  Observed and predicted punching shear strength of concrete flat slabs in test data for 10-folds: (a) test data of fold 1; (b) test data of fold 2; (c) test data of fold 3; (d) test data of fold 4; (e) test data of fold 5; (f) test data of fold 6; (g) test data of fold 7; (h) test data of fold 8; (i) test data of fold 9; (j) test data of fold 10.
ModelRMSE (MN)MAE (MN)R
ABC-LSSVR0.28760.72980.1518
DE-LSSVR0.27470.60540.3727
GA-LSSVR0.01440.06100.9353
GWO-LSSVR0.19170.67520.3325
JS-LSSVR (this study)0.00670.05030.9524
PSO-LSSVR0.28890.63960.2904
TLBO-LSSVR0.30040.75270.1309
WOA-LSSVR0.21400.64490.3353
Tab.4  Performance of JS vs. well-known optimizers in searching hyper paramters for the punching shear strength of RC flat slabs model
Fig.6  Boxplot of RMSE, MAE, and R of LSSVR model using various optimizers: (a) boxplot of RMSE; (b) boxplot of MAE; (c) boxplot of R.
Fig.7  Convergence comparisons on validation data: (a) convert graph of fold 1; (b) convert graph of fold 2; (c) convert graph of fold 3; (d) convert graph of fold 4; (e) convert graph of fold 5; (f) convert graph of fold 6; (g) convert graph of fold 7; (h) convert graph of fold 8; (i) convert graph of fold 9; (j) convert graph of fold 10.
No.ModelRMSE (MN)MAE (MN)R
1JS-LSSVR (this study)0.00670.05030.9524
2GPR (this study)0.00760.04920.9550
3KBR (this study)0.00640.05090.9443
4CatBoost (this study)0.11280.06110.9604
5LightGBM (this study)0.09210.05650.9326
6Keras (this study)0.11620.06620.9353
7SVR [34]0.8349
8ANN [33]0.04700.9965
9XGBoost [79]0.06570.9787
10AdaBoost [34]0.8758
11PSO-SVR [35]0.18800.1358890.9706
Tab.5  Prediction performance of various models for the punching shear strength of RC flat slabs
Fig.8  Comparison of prediction performance of JS-LSSVR and existing ML-based models: (a) R; (b) RMSE.
Fig.9  Scatter plots comparing current design codes and the JS-LSSVR model for predicting the punching shear strength of RC flat slabs: (a) ACI 318-19; (b) KDS 14 20 22; (c) Eurocode 2; (d) BS 8110; (e) JS-LSSVR.
Fig.10  Variation of current design codes and JS-LSSVR model according to effective depth: (a) ACI 318-19; (b) KDS 14 20 22; (c) Eurocode 2; (d) BS 8110; (e) JS-LSSVR.
Fig.11  Normal distribution of observed-to-predicted punching shear strength of current design codes and JS-LSSVR model.
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