SELF

56

S.B. Karavashkin, O.N. Karavashkina

The difference of resonance frequencies for K () and _input () causes the double resonance peaks appearance in full accordance with Skudrzyk’s 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

(19)

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.

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.