Fuzzy Logic, Neural Network, and Adaptive Neuro-Fuzzy Inference System in Delegation of Standard Concrete Beam Calculations
Abstract
:1. Introduction
2. Discussion
2.1. Initialization
2.1.1. Coding, Standard Beam Section Calculation
2.1.2. Coding, the Machine Learning Operators
2.2. Problem Definitions (Preparation of Lookup Table)
2.3. Parametric Evaluation of the Beams
3. Machine Learning Operatos (MLO)
3.1. Fuzzy Logic ()
3.2. Neural Network ()
3.3. Adaptive Neuro-Fuzzy-Inference System ()
3.4. Comparison between the three MLO
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
Fuzzy logic | |
Neural network | |
Adaptive neuro-fuzzy inference system | |
Machine learning operator | |
Number of the hidden layers | |
Width of the concrete section | |
Height of the concrete section | |
Distance between stirrups (mm) | |
Bending capacity (Nmm) | |
Shear capacity (N) | |
Steel yield stress (N/mm) | |
Concrete compressive strength (N/mm) | |
Compressive re-bar | |
Tensile re-bar | |
Standard deviatoin | |
Neutral axis of the concrete section | |
tensile, balance and minimum re-bar percentage in section | |
Tensile strain in the concrete section | |
Number of the parameters used in each operation | |
Size of the lookup table (number of the calculated section in each operation) |
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He | Wi | fc | fy | As | St | Perf | Mu | Vu | Ref | ||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
No | mm | mm | N/ | N/ | mm | mm | mm | Name | mm | Nmm | N | Name | Amount |
1 | 500 | 350 | 30 | 400 | 942 | 4825 | - | 2.1.2 | 174.17 | 7.1 × 108 | - | 11.5 [26] | Mu:7.1 × 108 |
2 | 300 | 350 | 21 | 400 | 942 | 3217 | - | 1.1.2 | 149.14 | 2.1 × 108 | - | 12.5 [26] | Mu:1.9 × 108 |
3 | 500 | 400 | 35 | 400 | - | 1357 | - | 3.2.1 | 47 | 2.6 × 108 | - | 5.5 [26] | Mu:2.4 × 108 |
4 | 350 | 200 | 32 | 500 | - | 804.2 | 3.2.1 | 75.74 | 1.3 × 108 | - | [27] | Mu:1.2 × 108 | |
5 | 3500 | 2000 | 32 | 500 | - | 8040 | - | 3.2.1 | 75.74 | 1.4 × 1010 | - | [27] | Mu:1.4 × 1010 |
6 | 500 | 300 | 35 | 400 | - | - | 10@80 | - | - | - | 3.53 × 105 | 1.7 [1] | Vu:3.5 × 105 |
7 | 520 | 350 | 21 | 300 | - | - | 12@125 | - | - | - | 2.92 × 105 | 3.7 [26] | Vu:2.8 × 105 |
8 | 500 | 300 | 30 | 400 | 1231 | 2412 | - | 2.2.1 | 72 | - | 3.95 × 108 | 3.8 [28] | Mu:3.9 × 108 |
9 | 500 | 450 | 25 | 400 | - | - | 12@100 | - | - | - | 3.97 × 105 | [29] | Vu:4.1 × 105 |
10 | 650 | 300 | 21 | 275 | - | 3220 | 3.1.1 | 5.0 × 108 | [27] | Mu:4.8 × 108 |
No | mm | mm | N/mm | N/mm | mm | mm | mm |
---|---|---|---|---|---|---|---|
range | [150–1000] | (100–300) | (20–70) | (200–600) | (0–393) | (158–1570) | (500–50) |
No | |||||||||
---|---|---|---|---|---|---|---|---|---|
1. | 2.00 | 2.00 | 2.00 | 2.00 | 2.00 | 2.00 | 2.00 | 8.15 | 7.18 |
2. | 2.00 | 2.00 | 2.00 | 2.00 | 2.00 | 2.00 | 1.00 | 8.15 | 4.74 |
3. | 2.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 2.03 | 2.07 |
4. | 1.00 | 2.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.08 | 1.32 |
5. | 1.00 | 1.00 | 2.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.07 | 1.14 |
6. | 1.00 | 1.00 | 1.00 | 2.00 | 1.00 | 1.00 | 1.00 | 1.95 | 1.54 |
7. | 1.00 | 1.00 | 1.00 | 1.00 | 2.00 | 1.00 | 1.00 | 1.00 | 1.00 |
8. | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 2.00 | 1.00 | 1.95 | 1.00 |
9. | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
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Baghdadi, A.; Babovic, N.; Kloft, H. Fuzzy Logic, Neural Network, and Adaptive Neuro-Fuzzy Inference System in Delegation of Standard Concrete Beam Calculations. Buildings 2024, 14, 15. https://doi.org/10.3390/buildings14010015
Baghdadi A, Babovic N, Kloft H. Fuzzy Logic, Neural Network, and Adaptive Neuro-Fuzzy Inference System in Delegation of Standard Concrete Beam Calculations. Buildings. 2024; 14(1):15. https://doi.org/10.3390/buildings14010015
Chicago/Turabian StyleBaghdadi, Abtin, Neira Babovic, and Harald Kloft. 2024. "Fuzzy Logic, Neural Network, and Adaptive Neuro-Fuzzy Inference System in Delegation of Standard Concrete Beam Calculations" Buildings 14, no. 1: 15. https://doi.org/10.3390/buildings14010015