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Combined action of Casimir and electrostatic forces on nanocantilever arrays

Ramezani, A ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1007/s00707-009-0267-z
  3. Publisher: 2010
  4. Abstract:
  5. Cantilever arrays with nearest-neighbor interactions are considered to obtain the pull-in parameters. The interactions between the neighboring beams are a combination of the Casimir force and the electrostatic force with the first-order fringing field correction. A set of coupled nonlinear boundary value problems and a set of coupled nonlinear equations arise in the distributed and lumped parameter modeling of the array, respectively. The models are simulated numerically to obtain the pull-in parameters of the arrays with different number of beams. The pull-in parameters of large arrays converge to constant values, which are independent of the number of beams in the array. The constants obtained by the distributed and lumped parameter models are compared. The verification of the proposed models is performed by comparing the simulation results with the corresponding ones in the literature
  6. Keywords:
  7. Cantilever arrays ; Casimir ; Casimir force ; Combined actions ; Coupled nonlinear equations ; First-order ; Fringing fields ; Large arrays ; Lumped parameter modeling ; Lumped parameter models ; Nearest-neighbor interactions ; Nonlinear boundary value problems ; Pull-in ; Simulation result ; Computer simulation ; Electric furnaces ; Electrostatic devices ; Electrostatic force ; Nanocantilevers ; Nonlinear equations
  8. Source: Acta Mechanica ; Volume 212, Issue 3-4 , July , 2010 , Pages 305-317 ; 00015970 (ISSN)
  9. URL: http://link.springer.com/article/10.1007%2Fs00707-009-0267-z