Journal Name:
- Mathematica Æterna
Key Words:
Author Name |
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Abstract (2. Language):
The problems of the interaction between a vibrating structure and
a
uid have been studied by many authors, see for example the inter-
esting article [7] and their references. The principal objective of this
work is to investigate the solvability of some problems of interaction
between structure and
uid by a mathematical method based upon the
analytic semigroups and fractional powers of operators and which can
be applied to wider range of physical situations. In this paper, we de-
velop this method on a three-dimensional model of interaction between
a vibrating structure and a light
uid occupying a bounded domain
in IR3. This model was introduced in J. Sound Vibration 177 (1994)
[3] by Filippi-Lagarrigue-Mattei for an one-dimensional clamped thin
plate, extended by an innite perfectly rigid bae. Intissar and Jeribi have shown in J. Math. Anal. Appl. (2004) [4] the existence of a Riesz basis of generalized eigenvectors of this one-dimensional model.A two-dimensional model of the vibration and the acoustic radiation of a baed rectangular plate in contact with a dense uid was considered by Mattei in J. Sound Vibration (1996) [9].
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