On determining the number of natural frequencies of an elastic bar system over a given interval
β Scribed by L. N. Andreev; V. A. Troitskii
- Publisher
- Springer US
- Year
- 1968
- Tongue
- English
- Weight
- 302 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1573-8582
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π SIMILAR VOLUMES
When a system of N masses, linked together by springs, is disturbed from its static equilibrium position, then it will vibrate in a manner characterized by the N natural frequencies of the system. Should the whole system be in rotation with constant rotation speed then these natural frequencies are
An interval [a; a + d] of natural numbers veriΓΏes the property of no coprimeness if and only if every element a + 1; a + 2; : : : ; a + d -1 has a common prime divisor with extremity a or a + d. We show the set of such a and the set of such d are recursive. The computation of the ΓΏrst d leads to ris