Investigation of pull-in behavior of circular nanoplate actuator based on the modified couple stress theory

Lin, Ming-Xian; Chen, Cha'o. Kuang

doi:10.1108/ec-04-2020-0204

Cited by 4 publications

(4 citation statements)

References 48 publications

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“…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

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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.

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Section: Two-phase Elasticity For Platesmentioning

confidence: 99%

Nonlocal Elasticity for Nanostructures: A Review of Recent Achievements

2023

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“…Beams, plates and shells with rectangular geometry are key structural elements, and they have attracted an increasing share of attention owing to their singular structures, excellent properties, and potential applications as the general building blocks of microelectromechanical systems (MEMSs) and nanoelectromechanical systems (NEMSs). For example, they are used in radio-frequency switches, microscaled pumps, and electrostatic actuators [1][2][3][4][5][6]. Their bending, buckling and vibration of many MEMS/NEMS structures involving ultra-thin films (nano-scale thick) depend on their absolute geometrical parameters in the scale of submicron [7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Size-dependent frequency of simply supported elastic ultra-thin films with surface effect under periodic vibration

Huang¹,

Wang²,

Ni³

et al. 2022

Mater. Res. Express

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Although surface effects play an important role in the mechanical properties of ultra-thin films, the nonlinear vibrations of ultra-thin films influenced by surface effects have not been fully understood. This paper develops an analytical framework for studying the nonlinear vibrations of simply supported ultra-thin films with surface effects. The framework is based on the modified Kirchhoff plate theory. The surface stress effects are treated by the Gurtin–Murdoch surface elasticity model and the motion equations include the effects of curvature and classical inertia. The dimensionless frequency of forcibly vibrated ultra-thin films with a simple support and surface effects is explicitly deduced through a series of perturbation procedure. Finally, the surface effects are evaluated in two numerical examples. In these demonstrations, the surface effects significantly influenced the dimensionless frequency when the film thickness reduced to one micrometer or less.

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“…Wang and Wereley 20 studied the vibration of rotating tapered beams using the spectral finite element method. Lin et al 21,22 and Lin and Chen 23 used the hybrid differential transformation/finite difference method to analyze the nonclassical theorem problems.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of non-uniform Bernoulli beam by using Laplace Adomian decomposition method

Lin

Deng

Chen

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper discusses an investigation into the influence of the cone ratio and axial force on the vibration problem in a non-uniform cantilever Euler–Bernoulli beam. In the analysis, the governing equation for the non-uniform cantilever Euler–Bernoulli beam is solved using the Laplace Adomian decomposition method (LADM). The LADM is used to convert the governing equation into a characteristic equation of a non-uniform Euler–Bernoulli beam, and a simple calculation is performed to obtain the natural frequencies and corresponding modals. The obtained numerical results are verified using a comparison with the results reported in previous studies. The present study speeds up the convergent rate and the accuracy of calculation by comparing the results using the modified Adomian decomposition method (MADM) and differential transformation method (DTM). The main power and advantage of the LADM are providing an analytical approximation to a nonlinear differential equation without linearization, perturbation, approximation, and discretization, all of which lead to huge numerical computation. The numerical methods demonstrated that the natural frequency increases with increasing the rotating spring modulus and moving spring modulus, and the moving spring modulus has a greater influence on the natural frequency. The effects of the cone ratio and axial force are presented for non-uniform Euler–Bernoulli beams. The numerical results show that the LADM is a suitable technique for analyzing the behavioral characteristics of beams.

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Investigation of pull-in behavior of circular nanoplate actuator based on the modified couple stress theory

Cited by 4 publications

References 48 publications

Nonlocal Elasticity for Nanostructures: A Review of Recent Achievements

Nonlocal Elasticity for Nanostructures: A Review of Recent Achievements

Size-dependent frequency of simply supported elastic ultra-thin films with surface effect under periodic vibration

Free vibration analysis of non-uniform Bernoulli beam by using Laplace Adomian decomposition method

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