SELF

42

S.B. Karavashkin, O.N. Karavashkina

Take as the mechanical analogue a finite elastic lumped line shown in Fig. 4a, whose last (n + 1)th element has the mass M different from the rest of elements. The exact analytical solutions for this model have the following form:

in the periodical vibration regime at <1

(23)

in the aperiodical vibration regime at >1

(24)

at the boundary vibration frequency at =1

(25)

where ; ; ; ; .

The electrical filter circuit corresponding to the Fig. 4a is shown in Fig. 4b. In accord with the relationships DEMA (8) and (23 – (25), the oscillations in this circuit will obey the following regularities:

at the filter pass band, <1

(26)

at the stop band, >1

(27)

and at the cutoff frequency, =1

(28)