2015
DOI: 10.1109/tcsi.2015.2451913
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Capacitive Energy Conversion With Circuits Implementing a Rectangular Charge-Voltage Cycle Part 2: Electromechanical and Nonlinear Analysis

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Cited by 19 publications
(17 citation statements)
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“…Thus the bi modal behavior can only be caused by the nonlinear terms. This behavior of Duffing oscillators is widely discussed in the literature [25][26][27][28]. The two modes correspond to two different forced vibrations in the resonator, one with large amplitude and the other with smaller amplitude.…”
Section: Optimization and Multi-stability Due To Nonlinear Stoppersmentioning
confidence: 74%
“…Thus the bi modal behavior can only be caused by the nonlinear terms. This behavior of Duffing oscillators is widely discussed in the literature [25][26][27][28]. The two modes correspond to two different forced vibrations in the resonator, one with large amplitude and the other with smaller amplitude.…”
Section: Optimization and Multi-stability Due To Nonlinear Stoppersmentioning
confidence: 74%
“…The inequality C var(p,n) < C var(p+1,n) comes from the hypothesis (15). Note that, under this hypothesis, at a given cycle at C var = C min , (20) is equivalent to, for the same cycle at…”
Section: B Half-cycle: Increasing Variable Capacitancementioning
confidence: 98%
“…Note that, as the voltages are supposed ordered as in (15), and as the voltages across the capacitors vary continuously t n t n,1 · · · t n,p t n .…”
Section: B Half-cycle: Increasing Variable Capacitancementioning
confidence: 99%
“…An equation can be derived from (10) which describes the resonance frequency shift of the oscillations, given by: Even in cases when the MSM approach is not as accurate, eq. (13) provides a very good indication of the magnitude of the shift in oscillations [27]. Equation (13) highlights the dependence of the resonance frequency shift on the first Fourier cosine term of the transducer force, and as this term is nonzero we will have a frequency shift for different system parameters.…”
Section: Resonance Frequency Shiftmentioning
confidence: 99%
“…The occurrence of more than one stable solution of the system is caused by the nonlinear electromechanical coupling. The Method of Multiple Scales can provide further insight into such regions of nonlinear behaviour [27].…”
Section: Resonance Frequency Shiftmentioning
confidence: 99%