SELF |
42 |
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S.B.
Karavashkin, O.N. Karavashkina |
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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 |
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(23) |
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in the aperiodical
vibration regime at >1 |
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(24) |
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at the boundary vibration
frequency at =1 |
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(25) |
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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 |
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(26) |
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at the stop band, >1 |
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(27) |
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and at the cutoff
frequency, =1 |
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(28) |
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