Kh. Low et al., A COMPARATIVE-STUDY OF VIBRATING LOADED PLATES BETWEEN THE RAYLEIGH-RITZ AND EXPERIMENTAL METHODS, Journal of sound and vibration, 199(2), 1997, pp. 285-297
Natural frequencies of rectangular plates carrying a concentrated mass
are obtained by employing a set of trigonometric beam functions in th
e Rayleigh-Ritz method. Two models of the energy method using one-term
and 100-term model are used in the study. Results obtained from the a
nalytical study using the energy method are compared with those measur
ed experimentally. It is found that the 100-term analytical model can
generally predict well the experimental frequencies of a plate carryin
g an arbitrarily placed concentrated mass, whereas the one-term analyt
ical model is only good for estimating the first-mode frequency of a p
late carrying a centrally placed mass. (C) 1997 Academic Press Limited
.