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Advances in Nano Research Volume 16, Number 3, March 2024 , pages 251-263 DOI: https://doi.org/10.12989/anr.2024.16.3.251 |
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Analytical nonlocal elasticity solution and ANN approximate for free vibration response of layered carbon nanotube reinforced composite beams |
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Emrah Madenci, Şaban Gülcü and Kada Draiche
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| Abstract | ||
| This article investigates the free vibration behavior of carbon nanotube reinforced composite (CNTRC) beams embedded using variational analytical methods and artificial neural networks (ANN). The material properties of layered functionally graded CNTRC (FG-CNTRC) beams are estimated using nonlocal parameters modified power-law with different types of CNT distributions through the thickness direction of the beam. Adopting Eringen's nonlocal elasticity theory to capture the small size effects, the nonlocal governing equations are derived and solved using the analytical method. And also, the problem was analyzed using the ANN method. The architecture of the proposed ANN model is 3-9-1. In the experiments, we used 112 different data to predict the natural frequency using ANN. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion as well as the boundary conditions of the beam are derived using Hamilton's principle. The classical beam theory is used to formulate a governing equation for predicting the free vibration of laminated CNTRC beams. According to the experimental results, the prediction ability of the ANN model is very good and the natural frequency can be predicted in ANN without attempting any experiments. | ||
| Key Words | ||
| artificial neural networks; carbon nanotube; composite beam; free vibration; nonlocal elasticity theory | ||
| Address | ||
| Emrah Madenci: Department of Civil Engineering, Necmettin Erbakan University, 42090 Konya, Türkiye Şaban Gülcü: Department of Computer Engineering, Necmettin Erbakan University, 42090 Konya, Türkiye Kada Draiche: Department of Civil Engineering, University of Tiaret, B.P. 78 Zaaroura, 14000 Tiaret, Algeria/ Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria | ||