Instability of nanocantilever arrays in electrostatic and van der waals interactions

Ramezani, A ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1088/0022-3727/42/22/225506
  3. Publisher: 2009
  4. Abstract:
  5. The structural instability of an array of cantilevers, each of which interacts with two neighbouring beams through electrostatic and van der Waals forces, is studied. Distributed and lumped parameter modelling of the array result in a set of coupled nonlinear boundary value problems and a set of coupled nonlinear equations, respectively. These coupled nonlinear systems are solved numerically for different numbers of beams in the array to obtain the pull-in parameters. The pull-in parameters converge to constant values with an increase in the number of beams in the array. These constants, which are important in the design of cantilever arrays, are compared for the distributed and lumped parameter models. © 2009 IOP Publishing Ltd
  6. Keywords:
  7. Array of cantilevers ; Cantilever arrays ; Coupled nonlinear equations ; Coupled nonlinear systems ; Lumped parameter modelling ; Lumped parameter models ; Nonlinear boundary value problems ; Pull-in ; Structural instability ; Van Der waals interactions ; Electrostatics ; Nanocantilevers ; Nonlinear systems ; Van der waals forces ; Nonlinear equations
  8. Source: Journal of Physics D: Applied Physics ; Volume 42, Issue 22 , 2009 ; 00223727 (ISSN)
  9. URL: https://iopscience.iop.org/article/10.1088/0022-3727/42/22/225506