Asghar Ramezani and Aria Alasty 2009 J. Phys. D: Appl. Phys. 42 225506 doi:10.1088/0022-3727/42/22/225506
Instability of nanocantilever arrays in electrostatic and van der Waals interactions
Asghar Ramezani1,2,4 and Aria Alasty3
Show affiliationsThe 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.
- PACS
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41.20.Cv Electrostatics; Poisson and Laplace equations, boundary-value problems
- Subjects
- Dates
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Issue 22 (21 November 2009)
Received 28 July 2009, in final form 2 October 2009
Published 6 November 2009
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Instability of nanocantilever arrays in electrostatic and van der Waals interactions
Asghar Ramezani and Aria Alasty 2009 J. Phys. D: Appl. Phys. 42 225506
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