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Vibrations of rings of variable cross section

✍ Scribed by P.A.A. Laura; C.P. Filipich; R.E. Rossi; J.A. Reyes

Publisher: Elsevier Science
Year: 1988
Tongue: English
Weight: 316 KB
Volume: 25
Category: Article
ISSN: 0003-682X
DOI: 10.1016/0003-682x(88)90058-8

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✦ Synopsis

The present paper deals with the determhlation of the lower natural frequencies of vibration of rings of variable cross-sectional area using three approximate schemes:

--using polynomial coordinate functions in the angular coordinate in order to approximate the fundamental mode shape --expanding the ring response in terms of a sinusoidal truncated series --by means of afinite element algorithm.

When using the first two procedures the Ritz method is applied in order to obtain the frequency equation. In general veo' good agreement is obtained between the eigenvalues predicted by the three approaches.

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