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Size-dependent bistability of an electrostatically actuated arch NEMS based on strain gradient theory?

Tajaddodianfar, F ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1088/0022-3727/48/24/245503
  3. Publisher: Institute of Physics Publishing , 2015
  4. Abstract:
  5. This paper deals with the investigation of the size-dependent nature of nonlinear dynamics, in a doubly clamped shallow nano-arch actuated by spatially distributed electrostatic force. We employ strain gradient theory together with the Euler-Bernoulli and shallow arch assumptions in order to derive the nonlinear partial differential equation governing the transverse motion of the arch with mid-plane stretching effects. Using the Galerkin projection method, we derive the lumped single degree of freedom model which is then used for the study of the size effects on the nonlinear snap-through and pull-in instabilities of the arch nano-electro-mechanicalsystem (NEMS). Moreover, using strain gradient theory, the size-dependent bistability and fundamental frequencies of the nano-arch are scrutinized, revealing that, despite what is predicted by the classical theory, the bistability region in the parameter space of the nanostructure shrinks as the structure scales down. Also, we show that the minimum initial elevation, required for bistability, increases as the nano-arch scales down
  6. Keywords:
  7. Bistability ; Degrees of freedom (mechanics) ; Electrostatic actuators ; NEMS ; Nonlinear equations ; Optical bistability ; Partial differential equations ; Fundamental frequencies ; Galerkin projections ; Nonlinear partial differential equations ; Pull-in ; Shallow arch ; Single degree of freedom models ; Snap-through ; Strain gradient theory ; Arches
  8. Source: Journal of Physics D: Applied Physics ; Volume 48, Issue 24 , May , 2015 ; 00223727 (ISSN)
  9. URL: http://iopscience.iop.org/article/10.1088/0022-3727/48/24/245503/meta