Modeling of Surface Stress Effects on the Dynamic Behavior of Actuated Non-Classical Nano-Bridges

Sedighi, Hamid M.

doi:10.1139/tcsme-2015-0011

Cited by 10 publications

(4 citation statements)

References 40 publications

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“…Previously, this theory was employed in different NEMS/MESM structures [42][43][44][45][46]. Effects of the surface excess energy (i.e., surface energy and surface stress) on the mechanics of ultra-thin films have been investigated via atomistic [47][48][49] and continuum [50][51][52][53][54][55][56][57] models. These studies demonstrated that the effects of the surface excess energy increase with the decrease in the film thickness.…”

Section: Introductionmentioning

confidence: 99%

Investigation of surface roughness effects on the dynamic performance of electromagnetic nano-resonators

Koochi,

Goharimanesh,

Gharib

2024

Phys. Scr.

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Here, we expose the influence of surface roughness on the dynamics of electromagnetic nano-resonators. To this end, the continuum field equations of an electromechanical nano-resonator subjected to an external magnetic flux are formulated. The developed model considers surface integrity, including surface roughness, waviness, and altered layer. Also, the influence of residual stresses of the extreme surfaces of the resonator is incorporated in the proposed model. It was revealed that the surface roughness significantly tailors the dynamic stability of the resonator, as the voltage that onsets the pull-in instability of the resonator decreases as the surface roughness increases, which thus indicates the necessity of particular calibrations of nano-resonators for surface roughness. To investigate the problem and the effect of factors such as magnetic field intensity, roughness, and beam surface thickness on the pull-in voltage, we have performed an analysis using the Taguchi method and analysis of variance. The results show that the intensity of the magnetic field has the most significant effect on pull-in voltage. Also, the more accurate results show on the resonance frequency; with the increase of the input voltage to the beam, the impact of increasing the intensity of the magnetic field and other factors increases. The rest of the paper proposes a linear and non-linear model to express the pull-in voltage according to the investigated factors.

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Section: Introductionmentioning

confidence: 99%

Investigation of surface roughness effects on the dynamic performance of electromagnetic nano-resonators

Koochi,

Goharimanesh,

Gharib

2024

Phys. Scr.

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“…This size e ect cannot be modeled by classic continuum mechanics. In order to overcome this shortcoming, the non-classical theories, such as nonlocal elasticity [35], Couple Stress Theory (CST) [36][37][38], strain gradient theory [39], modi ed couple stress theory [40], etc., have been developed to consider the size e ect on theoretical continuum models. Despite other size-dependent theories, limited research has been conducted on modeling the ultra-small structures using the CST [41][42][43].…”

Section: Introductionmentioning

confidence: 99%

The size-dependent electromechanical instability of double-sided and paddle-type actuators in centrifugal and Casimir force fields

et al. 2017

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Abstract. The present research is devoted to theoretical study of the pull-in performance of double-sided and paddle-type NEMS actuators fabricated from cylindrical nanowire operating in the Casimir regime and in the presence of the centrifugal force. D'Alembert's principle was used to transform the angular velocity into an equivalent static, centrifugal force. Using the couple stress theory, the constitutive equations of the actuators were derived. The equivalent boundary condition technique was applied to obtain the governing equation of the paddle-type actuator. Three distinct approaches, the DuanAdomian Method (DAM), Finite Di erence Method (FDM), and Lumped Parameter Model (LPM), were applied to solve the equation of motion of these two actuators. This study demonstrates the in uence of various parameters, i.e., the Casimir force, geometric characteristics, and the angular speed, on the pull-in performance.

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“…They have derived Pasternak medium force and Winkler spring force in their Studies. Surface stress and small scale effects on the dynamic pull-in behavior of nano-bridges were investigated using modified couple stress theory and homotopy perturbation method by Sedighi [23]. The effects of surface stress lead to more remarkable and accurate solutions for various nano-scale mechanical analyses; therefore, more efficient analyses can be obtained, considering these effects, especially by existence of in-plane forces [24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of coupled DLGSs systems resting on elastic medium using sinusoidal shear deformation orthotropic plate theory

Kavanroodi

Fereidoon

Mirafzal

2017

J Braz. Soc. Mech. Sci. Eng.

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This study proposes a solution for the analysis of critical buckling load of a coupled double-layer graphene sheets (DLGSs) system resting on elastic medium. In the upper and lower parts of the system, two graphene layers, which are under van der Waals force and related to each other through an elastic medium on the basis of Pasternak and Winkler models, are utilized. The performed model is considered to be based on Eringen's nonlocal elasticity theory and sinusoidal nonlocal shear deformation theory. In addition, the properties of orthotropic plate are applied in the model. Constitutive relations and equations together with boundary conditions are derived on the basis of Hamilton's principle. Furthermore, the effect of surface stress according to Gurtin-Murdoch theory is considered. Moreover, critical buckling load for in-phase, out-of-phase, and one side fixed states subjected to in-plane forces is obtained. The results of the study reveal the minimum value of critical buckling load for in-phase state and the maximum value of that for out-of-phase state, and that the value of one side fixed state critical buckling load exists between these two states.

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Modeling of Surface Stress Effects on the Dynamic Behavior of Actuated Non-Classical Nano-Bridges

Cited by 10 publications

References 40 publications

Investigation of surface roughness effects on the dynamic performance of electromagnetic nano-resonators

Investigation of surface roughness effects on the dynamic performance of electromagnetic nano-resonators

The size-dependent electromechanical instability of double-sided and paddle-type actuators in centrifugal and Casimir force fields

Buckling analysis of coupled DLGSs systems resting on elastic medium using sinusoidal shear deformation orthotropic plate theory

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