Vibration analysis of FGM plates in thermal environment resting on elastic foundation using ES-MITC3 element and prediction of ANN

Tran, Trung Thanh; Nguyen, Phu-Cuong; Pham, Quoc Hoa

doi:10.1016/j.csite.2021.100852

Cited by 55 publications

(11 citation statements)

References 48 publications

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“…Let us assume that it is essential to take into consideration the shear deformations for the FGM nanobeam. Accordingly, to concatenate the shear deformation throughout the thickness, this study utilizes the Timoshenko beam approach as [76,77]…”

Section: Mathematical Modelingmentioning

confidence: 99%

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Thermal buckling of functionally graded piezomagnetic micro- and nanobeams presenting the flexomagnetic effect

Malikan

Wiczenbach

Eremeyev

2021

Continuum Mech. Thermodyn.

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Galerkin weighted residual method (GWRM) is applied and implemented to address the axial stability and bifurcation point of a functionally graded piezomagnetic structure containing flexomagneticity in a thermal environment. The continuum specimen involves an exponential mass distributed in a heterogeneous media with a constant square cross section. The physical neutral plane is investigated to postulate functionally graded material (FGM) close to reality. Mathematical formulations concern the Timoshenko shear deformation theory. Small scale and atomic interactions are shaped as maintained by the nonlocal strain gradient elasticity approach. Since there is no bifurcation point for FGMs, whenever both boundary conditions are rotational and the neutral surface does not match the mid-plane, the clamp configuration is examined only. The fourth-order ordinary differential stability equations will be converted into the sets of algebraic ones utilizing the GWRM whose accuracy was proved before. After that, by simply solving the achieved polynomial constitutive relation, the parametric study can be started due to various predominant and overriding factors. It was found that the flexomagneticity is further visible if the ferric nanobeam is constructed by FGM technology. In addition to this, shear deformations are also efficacious to make the FM detectable.

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Section: Mathematical Modelingmentioning

confidence: 99%

“…There is a minor deviation between the physical neutral surface and the mid-plane while appraising the FGMs due to the distribution of mechanical properties. The physical neutral plan's position can be described by [76,78,79],…”

Section: Mathematical Modelingmentioning

confidence: 99%

Thermal buckling of functionally graded piezomagnetic micro- and nanobeams presenting the flexomagnetic effect

Malikan

Wiczenbach

Eremeyev

2021

Continuum Mech. Thermodyn.

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“…The BCMO has been applied to optimize behaviors of functionally graded plates [50,51]. Furthermore, the machine learning, which involves an artificial neural network (ANN), has been used to predict the behaviors of materials [52][53][54][55][56][57][58][59][60]. A literature review shows that although many investigations on the optimization analysis of composite/functionally graded plates have been done, as far as the authors are aware, similar research on the FGP microplates with uncertain materials is still very limited.…”

Section: Introductionmentioning

confidence: 99%

Vibration and buckling optimization of functionally graded porous microplates using BCMO-ANN algorithm

Tran

Nguyen²,

Nguyen‐Xuan³

et al. 2023

Thin-Walled Structures

117

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“…To analyze functionally graded annular plates under various boundary conditions, Jodaei et al [28] applied both the differential quadrature and ANN techniques. Tran et al [29] developed an ANN model to forecast the fundamental frequency of FGM plates by FE in a thermal environment using the ES-MITC3 element.…”

Section: Introductionmentioning

confidence: 99%

Finite Element and Neural Network Based Predictive Model to Determine Natural Frequency of Laminated Composite Plates with Eccentric Cutouts under Free Vibration

Seba

Kebdani

2022

Adv. technol. innov.

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This research proposes a predictive model to identify changes in the mechanical and geometrical properties of composite plates with eccentric cutouts based on natural frequency. Finite elements (FE) and neural networks are used to develop the model based on machine learning. First, the numerical analysis of free vibration is performed by the FE model on the laminated composite plates with a stacking sequence [0/90]2s under a clamped-free (CFFF) boundary condition. The outputs of the FE model (520 configurations) are then utilized to train the artificial neural network (ANN) model through the Levenberg-Marquardt method, and the developed ANN model is then used to evaluate the influence of various parameters on the natural frequency. The results show that the changes in the mechanical and geometrical properties of composite plates have impacts on the natural frequency. Furthermore, the findings of the ANN model are substantially identical to those of the numerical model, with a small margin of error.

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Vibration analysis of FGM plates in thermal environment resting on elastic foundation using ES-MITC3 element and prediction of ANN

Cited by 55 publications

References 48 publications

Thermal buckling of functionally graded piezomagnetic micro- and nanobeams presenting the flexomagnetic effect

Thermal buckling of functionally graded piezomagnetic micro- and nanobeams presenting the flexomagnetic effect

Vibration and buckling optimization of functionally graded porous microplates using BCMO-ANN algorithm

Finite Element and Neural Network Based Predictive Model to Determine Natural Frequency of Laminated Composite Plates with Eccentric Cutouts under Free Vibration

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