Aj. Mcmillan et Aj. Keane, SHIFTING RESONANCES FROM A FREQUENCY BAND BY APPLYING CONCENTRATED MASSES TO A THIN RECTANGULAR PLATE, Journal of sound and vibration, 192(2), 1996, pp. 549-562
The vibration of a thin, simply supported rectangular plate carrying a
number of concentrated masses is considered. It is shown that the add
ition of the masses has the effect of reducing the eigenvalues within
certain bounds. Two numerical methods are developed for calculating th
e eigenfunctions, eigenvalues and frequency response of the mass loade
d plate. These are employed in an attempt to drive a gap in the eigenv
alues directly below 110 Hz for a particular test case of a plate carr
ying five concentrated masses. A small gap is achieved, but to produce
a larger gap many more masses would be necessary. The frequency respo
nse and eigenvalues are relatively easily obtained and compare well wi
th those obtained by using the finite element method. (C) 1996 Academi
c Press Limited