SELF |
56 |
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S.B. Karavashkin, O.N.
Karavashkina |
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The
difference of resonance frequencies for K () and input () causes the double resonance
peaks appearance in full accordance with Skudrzyks experimental observations [1]. It
is easy to calculate them on the basis of (9) (12) with respect to (15)
(18). After a simple transformation we yield |
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(19) |
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The
typical plot 2 () for i = 2 is presented
in Fig. 6. We see that all pair maximums are formed in limits of complex aperiodical
regime. With growing mode number, the between-the-peaks minimum moves towards the
frequency increase; it fully corresponds to (14) and to the above analysis. |
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The
phase characteristics of input impedance and transfer function also do not retain constant
and nonlinearly depend on external force frequency. The input impedance is reactive at the
entire range. The transfer function at the entire range is also reactive, except the
section corresponding to the complex aperiodical regime. At this section the transfer
function is active, as its phase K vanishes. We would like to mark especially that the
pattern of displacement of system elements i (), which we can measure in the course of experiment, will differ from K (), because, according to (19), in (17) we did not
account the influence of input
(). In the plots
presented in Fig. 4 and
Fig. 5 we can analyse the behaviour of K () and input () separately, and this is one of important
merits of the exact analytical solutions. |
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