AN ASYMPTOTIC INVESTIGATION OF THE DYNAMICS OF ECCENTRICALLY REINFORCED PLATES

With the aim of extending earlier results [1-9] obtained by the method of averaging [5-9], the equations of the vibrations of a plate reinfo rced by elastic ribs mounted eccentrically with respect to its median surface are investigated. A system of recurrence equations is derived, of which the first approximation corresponds to the constructive orth otropic theory. It is shown that even this approximation reveals the s ingularities of asymmetrically distributed ribs. Corrections for discr etely situated ribs are obtained. (C) 1997 Elsevier Science Ltd. All r ights reserved.