Nonlinear free vibration of rotating FG trapezoidal microplates in thermal environment

Shenas, Amin Ghorbani; Ziaee, Sima; Malekzadeh, P.

doi:10.1016/j.tws.2021.108614

Cited by 13 publications

(4 citation statements)

References 53 publications

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“…Besides the above studies, there are some remarkable papers related to static and dynamic analyses of nano/microbeam models in the open literature. [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42] Recently, some noticeable papers have been published using different size-dependent elasticity theories to investigate the structural properties of MEMS/ NEMS. In this regard, Zhang et al 43 examined the dynamical stability behavior of functionally graded piezoelectric microshells subjected to thermo-electromechanical load using a unified threedimensional small-scale-dependent shell model.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of short-fiber reinforced composite nanobeams based on nonlocal strain gradient theory

Gul

2024

Proceedings of the Institution of Mechanical Engineers, Part C:

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This study deals with the dynamic behavior of short-fiber reinforced composite nanobeams. It is assumed that short-fibers are aligned or randomly distributed in the composite nanobeams. Nonlocal strain gradient theory is applied to composite nanobeam mechanics including Euler–Bernoulli and Timoshenko beam models. The transverse vibration of these composite nanobeams is investigated for various boundary conditions. Approximate Ritz method is used for obtaining the natural frequencies of short-fiber reinforced composite nanobeams. In addition to vibration analysis, wave propagation in short-fiber reinforced composite nanobeams is investigated and wave dispersion relations are analytically obtained for both Euler-Bernoulli and Timoshenko beam models. The vibration and wave dispersion results of short-fiber reinforced composite nanobeams are obtained for aligned and randomly distributed cases. The results obtained from this paper showed that there is no significant difference between the aligned and randomly oriented short-fiber composite nanobeams. This provides great convenience to designers where it is not possible to orient the reinforcement material in composites. The present study may be useful for the mechanical analysis and design of micro/nano-electromechanical systems (MEMS/NEMS), nanoprobes, nanosensors, nanoactuators, and atomic force microscopes.

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Section: Introductionmentioning

confidence: 99%

Dynamic analysis of short-fiber reinforced composite nanobeams based on nonlocal strain gradient theory

Gul

2024

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…They focused on the impacts of various parameters on the dynamic instability regions such as geometrical parameters, edge conditions, and lay-up configuration. The nonlinear vibrational behavior of rotating trapezoidal microplates made of ceramic-metal FGM subjected to thermal loading was studied by Ghorbani Shenas et al 16 They examined the impacts of some parameters like temperature rise and length scale parameter on the variations of the non-linear-to-linear natural frequency ratio versus the variations of amplitude ratio.…”

Section: Introductionmentioning

confidence: 99%

Effects of non-uniformity in thickness and volume fraction of nanofillers on the flutter characteristics of nanocomposite cantilever trapezoidal plates

Torabi,

Afshari,

Haji Aboutalebi

2024

Proceedings of the Institution of Mechanical Engineers, Part G:

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The aim of this work is to investigate the flutter characteristics of nanocomposite cantilever trapezoidal plates with non-uniform thickness enriched with either carbon nanotubes (CNTs), graphene nanoplatelets (GNPs), or graphene oxide powders (GOPs) which are distributed functionally graded (FG) in the axial direction. It is assumed that the thickness of the plate and the volume fraction of the nanofillers vary in one direction from the wider clamped edge of the plate to the outer narrower free one. The modeling of the plate is done using the first-order shear deformation theory (FSDT) and the aerodynamic pressure generated by the aerodynamic pressure is modeled using the linear approximation of the piston theory. The material properties of the plate are calculated using the mixing rule (ROM) and the Halpin–Tsai model. The governing equations and boundary conditions at the clamped and free edges of the plate are derived via Hamilton’s principle. An approximate solution is applied using the differential quadrature method (DQM) to calculate the natural frequencies and the damping ratios of the plate. Numerical examples show that it is possible to find an optimal thickness variation profile that provides the greatest aeroelastic stability. It is concluded that by considering the same value for the mass fractions of the nanofillers, the highest aeroelastic stability can be attained by utilizing the GNPs as the reinforcers. It is found that to attain further improvement in aeroelastic stability, most nanofillers should be distributed near the clamped edge and away from the outer free edge.

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“…Another way to investigate the size effects is to use the modified couple stress theory (MCT) or modified strain gradient theory (MST). These theories have been employed to predict the behaviors of isotropic and functionally graded microplates with various displacement fields [15][16][17][18][19][20][21][22][23][24][25][26][27]. Literature shows that the study of size effects on static and dynamic responses of FGP microplates is still 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

102

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Nonlinear free vibration of rotating FG trapezoidal microplates in thermal environment

Cited by 13 publications

References 53 publications

Dynamic analysis of short-fiber reinforced composite nanobeams based on nonlocal strain gradient theory

Dynamic analysis of short-fiber reinforced composite nanobeams based on nonlocal strain gradient theory

Effects of non-uniformity in thickness and volume fraction of nanofillers on the flutter characteristics of nanocomposite cantilever trapezoidal plates

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

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