𝔖 Bobbio Scriptorium
✦   LIBER   ✦

VIBRATION OF CIRCULAR PLATES ON A FREE FLUID SURFACE: EFFECT OF SURFACE WAVES

✍ Scribed by M. AMABILI; M.K. KWAK

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
190 KB
Volume
226
Category
Article
ISSN
0022-460X

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✦ Synopsis

The e!ect of free-surface waves on free vibrations of circular plates resting on a free #uid surface is studied. The solution is achieved by using a perturbation technique and the Hankel transformation method which give a couple of dual integral equations of Titchmarsh type. The #uid is considered inviscid and incompressible and the velocity potential describes its motion. The Kirchho! theory of plates is used to model the elastic thin plate. The theory is suitable for all axisymmetric plate boundary conditions. Numerical results are given in non-dimensional form for modes up to "ve nodal circles and diameters for clamped, simply supported and free-edge plates, to be ready-to-use in applications. The e!ect of free-surface waves on the plate's natural frequencies is signi"cant only when bluging and sloshing modes of the system have close natural frequencies.

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