Nv. Banichuk et Ay. Ishlinskii, SOME SPECIAL FEATURES OF PROBLEMS OF THE STABILITY AND VIBRATIONS OF RECTANGULAR-PLATES, Journal of applied mathematics and mechanics, 59(4), 1995, pp. 593-597
Problems of the stability and free vibrations of elastic rectangular p
lates are considered in the development of an earlier investigation [1
] (also, see [2]). It is shown that, in the limit, there is no transit
ion of the two-dimensional solutions into one-dimensional ''beam'' sol
utions and an estimate is given of the difference between the limiting
characteristics and the corresponding quantities obtained assuming th
at the deformation of the plates is cylindrical.