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In this paper, for a class of nonlinear systems with output measurements, an approach for rapid detection of small oscillation faults is presented.
This subregion corresponds to the first subsector of the funnel region, and for C m > 0 only one small oscillation occurs in a burst.
Displayed are maximum, minimum, and average changes for typical large and small oscillation amplitudes resulting from 0.5 and 0.1 eV bombardments, respectively.
d When ε0is too small, a continuous small oscillation may appear, and the convergence criteria (i.e., |f(P t))−f(P(t−1))|≤ε0) cannot be satisfied.
The amplitude ratio | Z 4 | Open image in new window first increases from small value to a maximum by executing small oscillation and ultimately decreases to become steady.
For small oscillation amplitudes, using simple geometrical arguments, the elastic contribution and corresponding force gradient can be readily calculated, giving the resonant frequency shift (1).
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As the AC frequency decreased from 30 Hz, the oscillation modes were in the order of the large-scale oscillation, doubly-periodic oscillation, and small-scale oscillation.
Frequency-doubling behavior for the small-scale oscillation has also been observed.
Benucci et al. (2007) showed that small oscillations in the dye signal correlated with the frequency of counterphase oscillating gratings.
The triangular points are stable if the ratio of the finite masses is less than 0.04, and the particle would execute small oscillations around one of the triangular points if it were pushed slightly away.
In fact, the formula for the period of small oscillations of a simple pendulum of length r, T = 2π√(r/g), is at the heart of some of the most precise methods for measuring g.
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