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- W1531506782 abstract "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-mechanical-system (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 nano-structure shrinks as the structure scales down. Also, we show that the minimum initial elevation, required for bistability, increases as the nano-arch scales down." @default.
- W1531506782 created "2016-06-24" @default.
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- W1531506782 date "2015-05-22" @default.
- W1531506782 modified "2023-10-14" @default.
- W1531506782 title "Size-dependent bistability of an electrostatically actuated arch NEMS based on strain gradient theory" @default.
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- W1531506782 doi "https://doi.org/10.1088/0022-3727/48/24/245503" @default.
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