TY - JOUR
T1 - Classification of the nonlinear dynamics in an initially curved bistable micro/nanoelectro-mechanical system resonator
AU - Tajaddodianfar, Farid
AU - Yazdi, Mohammad Reza Hairi
AU - Pishkenari, Hossein Nejat
AU - Miandoab, Ehsan Maani
AU - Ouakad, Hassen M.
N1 - Publisher Copyright:
© The Institution of Engineering and Technology 2015.
PY - 2015/10/1
Y1 - 2015/10/1
N2 - The nonlinear dynamics of a bistable micro/nano-electro-mechanical system resonator composed of an arch-shaped microbeam is investigated. The initially curved microbeam is actuated through a combined DC and AC electrostatic parallel plate field. A single degree of freedom model obtained using the Galerkin's decomposition method with distributed electrostatic force is implemented in order to investigate the resonator dynamics near its primary resonance. According to the shape of the potential energy function which depends on the system parameters, the nonlinear dynamics of the system are classified into certain categories. The appearance of various nonlinear phenomena including dynamic snap-through, dynamic pull-in, chaotic or large amplitude vibrations, hysteresis and softening-type behaviours are discussed within the introduced categories. A typical case scrutinised on detail, showing consequent snap-through instabilities which are responsible for transitions between the present stable configurations of the arch-shaped microbeam. Details of the resulting hysteresis loop governing these transitions are discussed. Moreover, discussion is provided about the formation of the hysteresis loops which can affect the filtering functionality of the proposed bistable MEMS resonator.
AB - The nonlinear dynamics of a bistable micro/nano-electro-mechanical system resonator composed of an arch-shaped microbeam is investigated. The initially curved microbeam is actuated through a combined DC and AC electrostatic parallel plate field. A single degree of freedom model obtained using the Galerkin's decomposition method with distributed electrostatic force is implemented in order to investigate the resonator dynamics near its primary resonance. According to the shape of the potential energy function which depends on the system parameters, the nonlinear dynamics of the system are classified into certain categories. The appearance of various nonlinear phenomena including dynamic snap-through, dynamic pull-in, chaotic or large amplitude vibrations, hysteresis and softening-type behaviours are discussed within the introduced categories. A typical case scrutinised on detail, showing consequent snap-through instabilities which are responsible for transitions between the present stable configurations of the arch-shaped microbeam. Details of the resulting hysteresis loop governing these transitions are discussed. Moreover, discussion is provided about the formation of the hysteresis loops which can affect the filtering functionality of the proposed bistable MEMS resonator.
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U2 - 10.1049/mnl.2015.0087
DO - 10.1049/mnl.2015.0087
M3 - Article
AN - SCOPUS:84946232494
SN - 1750-0443
VL - 10
SP - 583
EP - 588
JO - Micro and Nano Letters
JF - Micro and Nano Letters
IS - 10
ER -