The dynamics of an electret-based, capacitive, vibration-to-electric micro-converter (energy scavenger) is described by a set of ODEs where a second-order equation is coupled to two first-order equations through strongly-nonlinear terms. The nonlinear regimes of forced oscillations are analyzed with a semi-analytical approach, finding that the system exhibits features typical of Duffing-like nonlinear oscillators, such as jumps and multivalued frequency-response curves, with both stable and unstable periodic solutions. It is also proved that, for appropriate combinations of parameters, the system acts as a linear, damped oscillator, independently of the oscillation amplitude: in this case, the nonlinear coupling term reduces to a viscous-like term, physically interpretable as electromechanical damping.

Nonlinear oscillations in a MEMS energy scavenger / Peano, Fabio; Coppa, Gianni; Serazio, Cristina; Peinetti, F; Dangola, A.. - In: MATHEMATICAL AND COMPUTER MODELLING. - ISSN 0895-7177. - 43:(2006), pp. 1412-1423. [10.1016/j.mcm.2005.07.007]

Nonlinear oscillations in a MEMS energy scavenger

PEANO, FABIO;COPPA, Gianni;SERAZIO, CRISTINA;
2006

Abstract

The dynamics of an electret-based, capacitive, vibration-to-electric micro-converter (energy scavenger) is described by a set of ODEs where a second-order equation is coupled to two first-order equations through strongly-nonlinear terms. The nonlinear regimes of forced oscillations are analyzed with a semi-analytical approach, finding that the system exhibits features typical of Duffing-like nonlinear oscillators, such as jumps and multivalued frequency-response curves, with both stable and unstable periodic solutions. It is also proved that, for appropriate combinations of parameters, the system acts as a linear, damped oscillator, independently of the oscillation amplitude: in this case, the nonlinear coupling term reduces to a viscous-like term, physically interpretable as electromechanical damping.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1815167
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