Modeling the size dependent pull-in instability of beam-type NEMS using strain gradient theory

Koochi, Ali; Sedighi, Hamid M.; Abadyan, Mohamadreza

doi:10.1590/s1679-78252014001000007

Cited by 38 publications

(10 citation statements)

References 60 publications

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“…The figure indicate that the frequency evaluated by the strain gradient theory is greater than that evaluated by the classical and couple stress theory, noted that the couple stress theory predicts higher values for the frequency than dose the classical theory. Hence, it is inferred that the microbeams modeled by the non-classical theories are in fact stiffer than those modeled by the classical theory as it is reported by other researchers (Kong et al, 2009, Koochi et al, 2014, Vatankhah et al, 2013b. Moreover, it is deduced that the strain gradient theory predicts the micro-beams stiffer than does the couple stress theory.…”

Section: Resultssupporting

confidence: 49%

“…In studies associated with the strain gradient theory, for numerical evaluations, the researchers usually consider these three length scale parameters to be the same and indeed equal to the length scale parameter used in the modified couple stress theory (Kong et al, 2009, Koochi et al, 2014. In order to determine the length scale parameter for a specific material, some typical experiments such as micro-bend test, micro-torsion test and specially micro/nano indentation test can be carried out.…”

Section: Introductionmentioning

confidence: 99%

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Investigation of Size-Dependency in Free-Vibration of Micro-Resonators Based on the Strain Gradient Theory

Vatankhah

Kahrobaiyan

2016

Lat. Am. j. solids struct.

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This paper investigates the vibration behavior of micro-resonators based on the strain gradient theory, a non-classical continuum theory capable of capturing the size effect appearing in micro-scale structures. The micro-resonator is modeled as a clamped-clamped micro-beam with an attached mass subjected to an axial force. The governing equations of motion and both classical and non-classical sets of boundary conditions are developed based on the strain gradient theory. The normalized natural frequency of the micro-resonator is evaluated and the influences of various parameters are assessed. In addition, the current results are compared to those of the classical and modified couple stress continuum theories.

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Section: Resultssupporting

confidence: 49%

Section: Introductionmentioning

confidence: 99%

Investigation of Size-Dependency in Free-Vibration of Micro-Resonators Based on the Strain Gradient Theory

Vatankhah

Kahrobaiyan

2016

Lat. Am. j. solids struct.

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“…Pull-in instability of cantilever and fixed-fixed beam-type nano structure and nano switches using strain gradient and couple stress theory have been studied in refs. [5,6,28,29]. Keivani et al [7] investigated the instability analysis of nanotweezers using couple stress theory.…”

Section: Introductionmentioning

confidence: 99%

Investigation of dynamic instability of three plates switch under step DC voltage actuation using modified couple stress theory

Fard

Gharechahi

Fard

et al. 2018

Lat. Am. j. solids struct.

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In this paper dynamical instability of three-layer micro-switch under DC voltage actuation has been studied. Recent studies have used the classical beam theory while leaving out the length scale parameter. In this paper dynamic behavior of the switch has been investigated based on couple stress theory and considering the length scale parameter. To this end, governing dynamic equation of the micro switch has been extracted and presented. Considering the nonlinearity of governing equation due to the existence of electrostatic force, Galerkin method has been implemented to overcome this nonlinearity and solve the mentioned equation and obtain the dynamic response. Dynamic response of micro switch has been investigated with and without considering the damping effects. Variation of dynamic pull-in voltage versus micro beam length and primary gap between micro beam and stationary electrodes have been studied using couple stress and classic beam theory and obtained results have been compared to each other. Also dependency of dynamic pull-in voltage to damping factor has been studied with considering two theories. Furthermore switching time of micro switch have been determined and compared using couple stress and classic beam theories.

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“…This non-classic continuum theory introduces three material length-scale parameters to characterize the dilatation gradient tensor, the deviatoric stretch gradient tensor, and the symmetric rotation gradient tensor. The strain gradient theory has been applied to analyze mechanical behavior of ultra-small beams and other structures by many authors [18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

A modified model for stability analysis of narrow-width NEMS tweezers: Corrections due to surface layer, scale dependency and force distributions

2017

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Abstract. Stability analysis and modeling the electromechanical response of nanotweezers are crucial for reliable designing and manufacturing of these nano-devices. Herein, a modi ed model is developed for static and dynamic stability analyses of nanotweezers with low width to thickness ration (narrow width). The surface elasticity was employed in conjunction with the strain gradient theory to consider the coupled e ects of scale dependency, i.e. size-dependency of material characteristics and surface layer. The nonlinear governing equation was solved using analytical Rayleigh-Ritz Method (RRM). The in uence of various parameters is addressed including scale dependency, surface stresses, damping parameter, and dispersion forces on the stability of the tweezers. Furthermore, the maximum length and the minimum gap of the tweezers were computed, which are important design parameters.

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Modeling the size dependent pull-in instability of beam-type NEMS using strain gradient theory

Cited by 38 publications

References 60 publications

Investigation of Size-Dependency in Free-Vibration of Micro-Resonators Based on the Strain Gradient Theory

Investigation of Size-Dependency in Free-Vibration of Micro-Resonators Based on the Strain Gradient Theory

Investigation of dynamic instability of three plates switch under step DC voltage actuation using modified couple stress theory

A modified model for stability analysis of narrow-width NEMS tweezers: Corrections due to surface layer, scale dependency and force distributions

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