Complex resonance and localized vibrations at the edge of a semi-infinite elastic cylinder

Author:

Pagneux Vincent1

Affiliation:

1. Laboratoire d’Acoustique de l’Université du Maine, Le Mans, France

Abstract

The effect of the free edge of a semi-infinite elastic cylinder with circular cross section is considered. It is shown that there exists a complex resonance frequency associated with an axially symmetric localized vibration near the free edge for every value of the Poisson ratio v. For two particular values of v, v = 0 and v = 0.1267, the imaginary part of the complex resonance frequency is zero which corresponds to a trapped mode of the semi-infinite rod. This resonance is also shown to be associated with two eigenfrequencies of the finite length cylinder.

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

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