Pull-in parameters of cantilever type nanomechanical switches in presence of Casimir force

Ramezani, Asghar; Alasty, Aria; Âkbari, Jafar

doi:10.1016/j.nahs.2006.10.011

Cited by 34 publications

(15 citation statements)

References 16 publications

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“…The Casimir force can be expressed by adopting the proximity force approximation as [15] F C ¼ 1 240…”

Section: Dynamic Governing Equationsmentioning

confidence: 99%

“…Allowing for the definition of the bending problem given by Eqs. (15) and (16), through substituting Eq. (18) into Eqs.…”

Section: Vibration Of a Predeformed Microplatementioning

confidence: 99%

“…Nonlinearity usually arises either from the electrostatic force which is inversely proportional to the square of the gap between the structure and the actuating electrode or from the Casimir force which is inversely proportional to the fourth power of this gap [15], sometimes from the large deformations effect due to the high flexibility of the structure when geometric nonlinearity is considered [16]. This complex nonlinear nature makes the general solution of basic equations governing the deformation of microstructures unavailable.…”

Section: Introductionmentioning

confidence: 99%

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Bending and vibration of an electrostatically actuated circular microplate in presence of Casimir force

Wang

Lin

et al. 2011

Applied Mathematical Modelling

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a b s t r a c tThe pull-in instability and the vibration for a prestressed circular electrostatically actuated microplate are investigated in consideration of the Casimir force. Based on von Kármán's nonlinear bending theory of thin plates, the governing equations for the whole analysis are decomposed into two two-point boundary value problems. For static deformation of the plate, the geometric nonlinearity is involved and the pull-in parameters are obtained by using the shooting method through taking the applied voltage or Casimir parameter as an unknown. This algorithm is also used to study the small amplitude free vibration about the predeformed bending configuration following an assumed harmonic time mode, and the variation of the prestress and Casimir parameters dependent fundamental natural frequency with the applied voltage is presented. Several case studies are compared with available published simulations to confirm the proposed method. The influences of various parameters, such as the initial gap-thickness ratio, Casimir effect, prestress on the pull-in instability behavior and the natural frequency are examined.

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“…The Casimir force can be expressed by adopting the proximity force approximation as [15] F C ¼ 1 240…”

Section: Dynamic Governing Equationsmentioning

confidence: 99%

“…Allowing for the definition of the bending problem given by Eqs. (15) and (16), through substituting Eq. (18) into Eqs.…”

Section: Vibration Of a Predeformed Microplatementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Bending and vibration of an electrostatically actuated circular microplate in presence of Casimir force

Wang

Lin

et al. 2011

Applied Mathematical Modelling

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“…In nano/micro structure, some phenomena like intermolecular force, Casimir and van der Waals force have generally been considered when separation between electrodes is less than few microns. But these phenomena are especially significant and play an important role in nano structures only [11]. Their effects are less significant in micro structures and hence usually neglected [11,12].…”

Section: Introductionmentioning

confidence: 99%

“…But these phenomena are especially significant and play an important role in nano structures only [11]. Their effects are less significant in micro structures and hence usually neglected [11,12]. In the case of nano/micro scale electrode separation, the pull-in stability of MEMS cantilever beam is mainly affected by some nano scale phenomena, i.e.…”

Section: Introductionmentioning

confidence: 99%

Variable width based stepped MEMS cantilevers for micro or pico level biosensing and effective switching

Parsediya¹,

Singh

Kankar

2015

J Mech Sci Technol

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High performance and sensitivity of a microcantilever beam is much demanded in biosensing and needs accurate measurement of tip deflection under very low range of analyte adhesion. Constant geometry based rectangular microcantilevers are not good enough for micro or pico level triglyceride (TG) and glucose detection. With the same surface area, length and thickness, the proposed variable width based stepped microcantilever beams exhibit nearly twice or thrice more tip deflection corresponding to the same TG and glucose molecular pressure. With the less pull-in voltage requirement, such proposed stepped microcantilever beam based switches can be utilized in RF reconfigurable antenna for altering its operating frequency and radiation properties. Several configurations of proposed microcantilevers have been studied and analyzed for finding the optimal design with better deflection sensitivity. This paper also encompasses the mathematical modeling of proposed single and double stepped microcantilever beam, which exhibits good agreement with the simulation.

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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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Pull-in parameters of cantilever type nanomechanical switches in presence of Casimir force

Cited by 34 publications

References 16 publications

Bending and vibration of an electrostatically actuated circular microplate in presence of Casimir force

Bending and vibration of an electrostatically actuated circular microplate in presence of Casimir force

Variable width based stepped MEMS cantilevers for micro or pico level biosensing and effective switching

The role of virtual photons in nanoscale photonics

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