V.2 No 1 |
63 |
On solution for an infinite heteroheneous line | |
3.2 |
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When for i |
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(11) |
for k |
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(12) |
for i |
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(13) |
where |
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(14) |
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(15) |
In the first section corresponding to i The less is difference in the element masses m1
and m2 the more is vibration amplitude. Basically, at m1 When the expression in square brackets in (11) becomes zero, i.e. at |
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(16) |
the vibration amplitude in the first section vanishes, as it is visual in Fig. 2a. And in the case considered before, when all sections vibrated periodically, such phenomenon is impossible, because of phase shift in the summands in the braces of (2). In (14) the phase shift vanishes, as the heavy section passes to the aperiodical regime. |
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Fig. 2. Vibration diagrams in a heterogeneous elastic line
at 23,0515 Hz (a) and 22,5 Hz (b). The external force frequency is
between the boundary frequencies for the light and heavy parts of line; F0 = 0,6
N ; s = 100 N / m ; m1
= 0,01 kg ; |
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