Investigation of Size Effect on the Pull-in Instability of Beam-type NEMS under van der Waals Attraction

Beni, Yaghoub Tadi; Abadyan, Mohamadreza; Noghrehabadi, Aminreza

doi:10.1016/j.proeng.2011.04.286

Cited by 37 publications

(8 citation statements)

References 18 publications

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“…It should be mentioned that if the boundary conditions expressed in equation (24) are rewritten based on equation (25), these boundary conditions will be satisfied. By substituting equation (25) in equations (19) to (23), these equations are converted to the following Eigen value problem In the above equation I, M, and Q represent the identity matrix, CNT mass matrix, and CNT stiffness matrix, respectively. According to the algebraic principles, it is clear that in order to extract the non-zero answer the following condition must be met…”

Section: Solving Methodsmentioning

confidence: 99%

“…Elements for modeling nanostructures include nano-beams, nano-discs, and nano-shells. [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] Carbon nanotube (CNT) is one of the most commonly used elements in nanostructures which are used in a variety of composite materials and nano systems. CNTs are hollow cylinder made of the convolution of graphene sheets around an axis.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Free vibration of anisotropic single-walled carbon nanotube based on couple stress theory for different chirality

Beni

Mehralian

Zeverdejani

2017

Journal of Low Frequency Noise, Vibration and Active Control

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In the present work, using the couple stress theory, a new model is provided for vibrating behavior of anisotropic carbon nanotubes. Carbon nanotubes have many applications, and careful analysis of their behavior is important. So far, using the isotropic models, several studies have been conducted on carbon nanotube vibration. According to the arrangement of carbon atoms on the nanotube walls, their properties will be different in various directions. Therefore, the behavior of carbon nanotubes must be considered as anisotropic materials. In this article, initially, using the Hamilton's principle, motion equations, and boundary conditions of carbon nanotubes are extracted based on couple stress theory. Afterwards, the equations are solved using the analytical solution method. In the results section, the effect of different parameters, particularly the anisotropic effect, on the carbon nanotube natural frequency is investigated.

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Section: Solving Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Free vibration of anisotropic single-walled carbon nanotube based on couple stress theory for different chirality

Beni

Mehralian

Zeverdejani

2017

Journal of Low Frequency Noise, Vibration and Active Control

View full text Add to dashboard Cite

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“…As NEMSs are very small in size, the size effect plays a considerable role on the behavior of these devices. Sadeghian et al (2010) experimentally examined the size-dependent elastic behavior of silicon NEMS, and Beni et al (2011) utilized the modified couple stress theory to study the size dependency for NEMS.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear oscillation of nanoelectro-mechanical resonators using energy balance method: considering the size effect and the van der Waals force

Ghalambaz

Edalatifar

2015

Appl Nanosci

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The energy balance method is utilized to analyze the oscillation of a nonlinear nanoelectro-mechanical system resonator. The resonator comprises an electrode, which is embedded between two substrates. Two types of clamped-clamped and cantilever nano-resonators are studied. The effects of the van der Waals attractions, Casimir force, the small size, the fringing field, the mid-plane stretching, and the axial load are taken into account. The governing partial differential equation of the resonator is reduced using the Galerkin method. The energy method is applied to obtain an analytical solution without considering any linearization or small parameter. The results of the present study are compared with the results available in the literature. In addition, the results of the present analytical solution are compared with the Runge-Kutta numerical results. An excellent agreement between the present analytical solution, numerical solution, and the results available in the literature was found. The influences of the van der Waals force, Casimir force, size effect, and fringing field effect on the oscillation frequency of resonators are studied. The results indicate that the presence of the intermolecular forces (van der Waals), Casimir force, and fringing field effect decreases the oscillation frequency of the resonator.In contrast, the presence of the size effect increases the oscillation frequency of the resonator.

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“…The available theoretical models for electrically actuated nano-switches may be grouped into two: the classical beam models [10][11][12] and the size-dependent beam models [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. As its name implied, the classical beam models are based on the classical (conventional) continuum mechanics and hence could not capture the essential features related to the nano-scales.…”

Section: Introductionmentioning

confidence: 99%

Surface effect on the pull-in instability of cantilevered nano-switches based on a full nonlinear model

Dai

Wang

2015

Physica E: Low-dimensional Systems and Nanostructures

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Investigation of Size Effect on the Pull-in Instability of Beam-type NEMS under van der Waals Attraction

Cited by 37 publications

References 18 publications

Free vibration of anisotropic single-walled carbon nanotube based on couple stress theory for different chirality

Free vibration of anisotropic single-walled carbon nanotube based on couple stress theory for different chirality

Nonlinear oscillation of nanoelectro-mechanical resonators using energy balance method: considering the size effect and the van der Waals force

Surface effect on the pull-in instability of cantilevered nano-switches based on a full nonlinear model

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