Theoretical study of the effect of Casimir attraction on the pull-in behavior of beam-type NEMS using modified Adomian method

Koochi, Ali; Kazemi, Asieh Sadat; Beni, Yaghoub Tadi; Yekrangi, Alireza; Abadyan, Mohamadreza

doi:10.1016/j.physe.2010.10.009

Cited by 76 publications

(37 citation statements)

References 49 publications

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“…obtained using the present work does not agree well with the results of [11,12]. Nonetheless, Table 2 indicates that the critical value of the α cas parameter agrees with the cited reference [14], but with a minor discrepancy that can be attributed to the single mode approximation assumed in the above analysis. However, the proposed methodology is purely analytical and provides simpler expressions in predicting properly and quickly the threshold limits for the cited basic design parameters and therefore better and successful design with no possibility of damage/collapse of these nanobeams during their fabrication process.…”

Section: Comparison With the Literature Assuming An Un-actuated Nanobeamcontrasting

confidence: 69%

“…Tables 1 and 2 summarize the comparison of the calculated critical values for the normalized van der Waals parameter (α cr vdW ) and Casimir parameter (α cr cas ), respectively, and their corresponding maximum reachable nanobeam deflections with other available results in the literature [11,12,14]. obtained using the present work does not agree well with the results of [11,12].…”

Section: Comparison With the Literature Assuming An Un-actuated Nanobeamcontrasting

confidence: 51%

“…Table 5 displays a quantitative comparison of the calculated pull-in parameters using Equation (21) respectively with the reported results of [14]. In the table, various Casimir parameters analytically are slightly lower than the numerical value of [14]. This small discrepancy could be attributed to the numerical approximations used in [14] and to the negligence of the higher-order modes in the present work.…”

Section: Comparison With the Literature Of The Pull-in Parameter In Pmentioning

confidence: 74%

“…The derived two algebraic equations for the case of van der Waals attraction as the only intermolecular force, Equation (14), and for the case of Casimir force, Equation (16), are both nonlinear functions of the unknown coefficient k 1 . In addition both equations are related to the electric force coefficient (α e ), the fringing fields effect (α f f ), the mid-plane stretching parameter (α st ) and the intermolecular forces (α vdW for the first case and α cas for the second case).…”

Section: First Case: Van Der Waals Force Only (mentioning

confidence: 99%

“…Table 1. Comparison of the critical van der Waal parameter using Equation (14) and its corresponding maximum nanobeam deflection with the results of [11,12].…”

Section: Comparison With the Literature Assuming An Un-actuated Nanobeammentioning

confidence: 99%

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Comprehensive Analytical Approximations of the Pull-In Characteristics of an Electrostatically Actuated Nanobeam under the Influences of Intermolecular Forces

Ouakad¹,

AlQasimi²

2018

Actuators

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Abstract:In this paper, analytical closed-form expressions to accurately estimate the pull-in characteristics of an electrostatically-actuated doubly-clamped nanobeam are derived and examined. In this regard, a coupled electro-mechanical problem for the nano-actuator is first presented assuming a single mode approximation while taking into account all the possible structural, electrical and nanoscale effects: the fringing of the electrical actuating force, the geometric mid-plane stretching and intermolecular (van der Walls and Casimir) forces. The complicated nonlinear resultant equations are numerically approximated in order to derive the closed-form expressions for the important nano-actuator pull-in characteristics: i.e., the detachment length, the minimum reachable gap size before the collapse and the respective pull-in voltage. The resulting closed-form expressions are first quantitatively validated with other previously published results, and comparisons showed an acceptable agreement. Unlike the reported expressions in the literature, the proposed closed-form expressions in this work are proper approximations, fairly accurate and, more importantly, provide a quick estimate of the critical design pull-in parameters of the nano-actuator. In addition, the analysis of these expressions demonstrated that the consideration of the intermolecular forces together with the fringe effect tends to significantly reduce the threshold pull-in voltage, whereas the mid-plane stretching parameter tends to the contrary to increase the voltage at the pull-in collapse. The derived expressions of these analytical/approximate solutions could hopefully be appropriately used by NEMS engineers as simple/quick procedures for successful design and fabrication of electrostatically-actuated nano-devices.

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Section: Comparison With the Literature Assuming An Un-actuated Nanobeamcontrasting

confidence: 69%

Section: Comparison With the Literature Assuming An Un-actuated Nanobeamcontrasting

confidence: 51%

Section: Comparison With the Literature Of The Pull-in Parameter In Pmentioning

confidence: 74%

Section: First Case: Van Der Waals Force Only (mentioning

confidence: 99%

“…Table 1. Comparison of the critical van der Waal parameter using Equation (14) and its corresponding maximum nanobeam deflection with the results of [11,12].…”

Section: Comparison With the Literature Assuming An Un-actuated Nanobeammentioning

confidence: 99%

See 3 more Smart Citations

Comprehensive Analytical Approximations of the Pull-In Characteristics of an Electrostatically Actuated Nanobeam under the Influences of Intermolecular Forces

Ouakad¹,

AlQasimi²

2018

Actuators

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The role of virtual photons in nanoscale photonics

Andrews

2014

Annalen der Physik

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The fundamental theory of processes and properties associated with nanoscale photonics should properly account for the quantum nature of both the matter and the radiation field. A familiar example is the Casimir force, whose significant role in nanoelectromechanical systems is widely recognised; the correct representation invokes the creation of short-lived virtual photons from the vacuum. In fact, there is an extensive range of nanophotonic interactions in which virtual photon exchange plays a vital role, mediating the coupling between particles. This review surveys recent theory and applications, also exhibiting novel insights into key electrodynamic mechanisms. Examples are numerous and include: laser-induced inter-particle forces known as optical binding; non-parametric frequency-conversion processes especially in rare-earth doped materials; light-harvesting polymer materials that involve electronic energy transfer between their constituent chromophores. An assessment of these and the latest prospective applications concludes with a view on future directions of research.

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2014

Annalen der Physik

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Theoretical study of the effect of Casimir attraction on the pull-in behavior of beam-type NEMS using modified Adomian method

Cited by 76 publications

References 49 publications

Comprehensive Analytical Approximations of the Pull-In Characteristics of an Electrostatically Actuated Nanobeam under the Influences of Intermolecular Forces

Comprehensive Analytical Approximations of the Pull-In Characteristics of an Electrostatically Actuated Nanobeam under the Influences of Intermolecular Forces

The role of virtual photons in nanoscale photonics

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