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Closed-form solutions of the pull-in instability in nano-cantilevers under electrostatic and intermolecular surface forces

Ramezani, A ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijsolstr.2006.12.015
  3. Publisher: 2007
  4. Abstract:
  5. In this paper, a distributed parameter model is used to study the pull-in instability of cantilever type nanomechanical switches subjected to intermolecular and electrostatic forces. In modeling of the electrostatic force, the fringing field effect is taken into account. The model is nonlinear due to the inherent nonlinearity of the intermolecular and electrostatic forces. The nonlinear differential equation of the model is transformed into the integral form by using the Green's function of the cantilever beam. Closed-form solutions are obtained by assuming an appropriate shape function for the beam deflection to evaluate the integrals. The pull-in parameters of the switch are computed under the combined effects of electrostatic and intermolecular forces. Electrostatic microactuators and freestanding nanoactuators are considered as special cases of our study. The detachment length and the minimum initial gap of freestanding nano-cantilevers, which are the basic design parameters for NEMS switches, are determined. The results of the distributed parameter model are compared with the lumped parameter model. © 2006 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Cantilever beams ; Control nonlinearities ; Differential equations ; Electrostatic actuators ; Electrostatic force ; Van der waals forces ; Casimir force ; Closed-form solutions ; Electrostatic microactuators ; Fringing field effects ; Nanomechanical switches ; Pull-in instability ; Nanocantilevers
  8. Source: International Journal of Solids and Structures ; Volume 44, Issue 14-15 , 2007 , Pages 4925-4941 ; 00207683 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0020768306005403