M. Amabili et Mk. Kwak, FREE-VIBRATIONS OF CIRCULAR PLATES COUPLED WITH LIQUIDS - REVISING THE LAMB PROBLEM, Journal of fluids and structures, 10(7), 1996, pp. 743-761
This paper deals with the analytical and numerical approaches used to
estimate the natural frequencies of circular plates in contact with a
liquid. The circular plate is assumed to be in contact with a liquid o
n one side and placed into the hole of an infinite rigid wall; this is
the problem studied by Lamb. The change in natural frequencies is fir
st calculated using the so-called nondimensional added virtual mass in
cremental (NAVMI) factor which reflects the increase of kinetic energy
due to the liquid. The analytical expression of NAVMI factors for cir
cular plates possessing axisymmetric boundary conditions is obtained.
The more accurate Rayleigh-Ritz solution of the problem is then taken
and compared to the results obtained by using the NAVMI factors. Numer
ical data is given for both free-edge, simply supported and clamped pl
ates and for supported plates with an elastic moment edge constraint.
(C) 1996 Academic Press Limited