Nonlocal free vibration of functionally graded porous nanoplates using higher-order isogeometric analysis and ANN prediction

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

doi:10.1016/j.aej.2022.12.023

Cited by 13 publications

(3 citation statements)

References 88 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A stress-driven nonlocal methodology is conceived in [56] to capture scale effects in nanoplates and then generalized in [35] on the basis of a two-phase elasticity theory. The nonlocal mechanics of two-dimensional continua is studied in [31], vibration and buckling analysis of composite nanoplates are carried out in [95], static and dynamic behaviors of nonlocal elastic plates are examined in [96], modeling of circular nanoplate actuators is addressed in [97], chemical sensing systems are proposed in [98], vibration of resonant nanoplate mass sensors is analyzed in [99], nonlinear dynamics of nanoplates is investigated in [100], magneto-electromechanical nanosensors are modeled in [101], thermoelastic damping models for rectangular micro-and nanoplate resonators are proposed in [102], free vibration of functionally graded porous nanoplates is addressed in [103], nonlinear mechanical behavior of porous sandwich nanoplates is characterized in [104], and dynamics of nanoplates is investigated in [99,105].…”

Section: Two-phase Elasticity For Platesmentioning

confidence: 99%

Nonlocal Elasticity for Nanostructures: A Review of Recent Achievements

2023

View full text Add to dashboard Cite

Recent developments in modeling and analysis of nanostructures are illustrated and discussed in this paper. Starting with the early theories of nonlocal elastic continua, a thorough investigation of continuum nano-mechanics is provided. Two-phase local/nonlocal models are shown as possible theories to recover consistency of the strain-driven purely integral theory, provided that the mixture parameter is not vanishing. Ground-breaking nonlocal methodologies based on the well-posed stress-driven formulation are shown and commented upon as effective strategies to capture scale-dependent mechanical behaviors. Static and dynamic problems of nanostructures are investigated, ranging from higher-order and curved nanobeams to nanoplates. Geometrically nonlinear problems of small-scale inflected structures undergoing large configuration changes are addressed in the framework of integral elasticity. Nonlocal methodologies for modeling and analysis of structural assemblages as well as of nanobeams laying on nanofoundations are illustrated along with benchmark applicative examples.

show abstract

Section: Two-phase Elasticity For Platesmentioning

confidence: 99%

Nonlocal Elasticity for Nanostructures: A Review of Recent Achievements

2023

View full text Add to dashboard Cite

show abstract

“…[39][40][41] Thus, a gradual change in the stiffness of the structure exists in FGMs compared to the laminates in which a sudden change in the stiffness occurs at the interfaces. 42,43 However, manufacturing of FGMs is a tedious task and requires skilled human efforts. Also, it consists of metal and ceramic phase which requires high temperature to melt, thus, adding to the production cost.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of bio-inspired helicoid laminated composite plates

Garg

Belarbi

et al. 2023

The Journal of Strain Analysis for Engineering Design

View full text Add to dashboard Cite

Helicoidal schemes possessed by biological creatures possess high strength and stiffness. The adoption of the layup configurations possessed by these biological creatures is not fully explored. The present article aims to carry out the free vibration analysis of biological-inspired laminated composite (B-ILC) plates having helicoidal layup. The analysis is carried out using higher-order zigzag theory (HOZT) as due to the presence of several layers, the HOZT can predict the behavior accurately compared to the shear deformation theory. Based on Hamilton’s principle, the governing equations are worked out and analyzed using the finite element method. The influence of boundary conditions, geometric properties, number of layers, the skew angle of the plate, and material properties on the free vibration behavior are studied in detail.

show abstract

“…To validate and enrich the present research, an ANN method was developed and trained using material properties data obtained from previous studies. Recently, the researchers of [6] studied nonlocal FGM nanoplates using higher-order isogeometric analysis and the ANN method to predict free vibration behavior. They demonstrated that the obtained values from the ANN converged with a considerable margin of error compared to the analytical solution.…”

Section: Introductionmentioning

confidence: 99%

Artificial Neural Network (ANN) Validation Research: Free Vibration Analysis of Functionally Graded Beam via Higher-Order Shear Deformation Theory and Artificial Neural Network Method

Çelik,

Gündoğdu,

Özdilek

et al. 2023

Applied Sciences

View full text Add to dashboard Cite

Presented herein is the free vibration analysis of functionally graded beams (FGMs) via higher-order shear deformation theory and an artificial neural network method (ANN). The transverse displacement (w) is expressed as bending (wb) and shear (ws) components to define the deformation of the beam. The higher-order variation of the transverse shear strains is accounted for through the thickness direction of the FGM beam, and satisfies boundary conditions. The governing equations are derived with the help of Hamilton’s principle. Non-dimensional frequencies are obtained using Navier’s solution. To validate and enrich the proposed research, an artificial neural network method (ANN) was developed in order to predict the dimensionless frequencies. Material properties and previous studies were used to generate the ANN dataset. The obtained frequency values from the analytical solution and ANN method were compared and discussed with respect to the mean error. In conclusion, the solutions were demonstrated for various deformation theories, and all of the results were thereupon tabularized and visualized using 2D and 3D plots.

show abstract

Nonlocal free vibration of functionally graded porous nanoplates using higher-order isogeometric analysis and ANN prediction

Cited by 13 publications

References 88 publications

Nonlocal Elasticity for Nanostructures: A Review of Recent Achievements

Nonlocal Elasticity for Nanostructures: A Review of Recent Achievements

Free vibration analysis of bio-inspired helicoid laminated composite plates

Artificial Neural Network (ANN) Validation Research: Free Vibration Analysis of Functionally Graded Beam via Higher-Order Shear Deformation Theory and Artificial Neural Network Method

Contact Info

Product

Resources

About