Vibration analysis of embedded porous nanobeams under thermal effects using boosting machine learning algorithms and semi-analytical approach

Mechanics of Advanced Materials and Structures, Journal Year: 2024, Volume and Issue: unknown, P. 1 - 24

Published: March 13, 2024

This study presents a thermal vibration analysis of functionally graded porous nanobeams using boosting machine learning models and semi-analytical approach. Nonlocal strain gradient theory is employed to explore behavior, accounting for size effects. A approach solution utilizing Fourier series Stokes' transform establish an eigenvalue problem capable examining vibrational frequencies in both rigid deformable boundary conditions presented. Four including (GBoost), light (LGBoost), extreme adaptive (AdaBoost) are the impact seven crucial parameters on natural nanobeam. Sobol quasi-random space-filling method used generate samples by varying input feature combinations different nanobeam distributions. The model performance assessed statistical metrics, visualization tools, 5-fold cross-validation, SHAP importance. results highlight effectiveness ML predicting frequencies, particularly XGBoost, which achieved exceptional R2 value 0.999, accompanied lowest MAE, MAPE, RMSE values among assessed. LGBoost AdaBoost follow XGBoost performance, while GBoost exhibits relatively lower effectiveness, as highlighted radar plots. revealed significant foundation parameter frequency prediction, with porosity coefficients notably influencing higher modes.

Language: Английский

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On the variable length scale parameter in functionally graded non-porous and porous microplate/nanoplate

Mechanics of Advanced Materials and Structures, Journal Year: 2024, Volume and Issue: unknown, P. 1 - 23

Published: March 12, 2024

In this article, the solution for free vibration and static bending of nonporous porous square microplate/nanoplate is studied by practicing modified couple stress theory (MCST). The impact incorporating length scale parameter MCST confirmed comparing results to that molecular dynamics simulations. This study aimed at investigating influence implementing a variable on dynamic behavior small-scaled plates. Results are obtained adopting analytical technique compared cases presupposing constant numerical values material throughout each plate. novelty theoretical approach employed achieve formulation parameter, which varies along thickness both indicate inclusion increases fundamental frequency stiffness When two one approximating constituent based Poisson's ratio material, other estimated prior experimental studies, reveals latter gives higher chosen correspondingly.

Language: Английский

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Application of Surface Stress-Driven Model for Higher Vibration Modes of Functionally Graded Nanobeams

Nanomaterials, Journal Year: 2024, Volume and Issue: 14(4), P. 350 - 350

Published: Feb. 12, 2024

This paper employs a surface stress-driven nonlocal theory to investigate the synergistic impact of long-range interaction and energy on higher vibration modes Bernoulli–Euler nanobeams made functionally graded material. It takes into account effects such as modulus elasticity, residual stresses, density, rotary inertia. The governing equation is derived through application Hamilton’s principle. novelty this work lies in its pioneering approach studying higher-order vibrations, carefully considering combination interactions materials well-posed mathematical model elasticity. study conducts parametric investigation, examining parameter material gradient index for four static schemes: Cantilever, Simply-Supported, Clamped-Pinned Clamped-Clamped nanobeams. outcomes are presented discussed, highlighting normalized natural frequencies second fifth each case under study. In particular, illustrates central role dynamic response nanobeams, emphasizing importance them. Furthermore, analysis reveals that influenced by combined parameter, index, shapes cross-sections considered, well scheme analyzed.

Language: Английский

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Buckling analysis of functionally graded nanobeams via surface stress-driven model

International Journal of Engineering Science, Journal Year: 2024, Volume and Issue: 205, P. 104148 - 104148

Published: Sept. 27, 2024

Language: Английский

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Error Estimation on Assuming Neutral Axis at the Middle of the Cross-Section of Functionally Graded Beams

Mechanics of Composite Materials, Journal Year: 2025, Volume and Issue: unknown

Published: March 5, 2025

Language: Английский

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Error estimation on assuming neutral axis at the middle of the cross section of functionally graded beams

Mechanics Research Communications, Journal Year: 2025, Volume and Issue: unknown, P. 104408 - 104408

Published: March 1, 2025

Language: Английский

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Surface and nonlocal effects in piezoelectric nanobeams

European Journal of Mechanics - A/Solids, Journal Year: 2025, Volume and Issue: unknown, P. 105715 - 105715

Published: May 1, 2025

Language: Английский

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Optimizing Shape Functions in the Rayleigh-Ritz Method for Efficient Free Vibration Analysis of Functionally Graded Nanobeams

Mechanics of Solids, Journal Year: 2025, Volume and Issue: unknown

Published: June 1, 2025

Language: Английский

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Dynamics of a Short-Fiber-Reinforced Nanorod via Hardening Nonlocal Approach

Mechanics of Solids, Journal Year: 2025, Volume and Issue: unknown

Published: June 1, 2025

Language: Английский

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Approximate Solutions for Bending of Beams and Buckling of Columns Made of Functionally Graded Materials

Journal of The Institution of Engineers (India) Series A, Journal Year: 2024, Volume and Issue: 105(4), P. 913 - 937

Published: Aug. 16, 2024

Language: Английский

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