О СУЩЕСТВОВАНИИ ЛОКАЛИЗОВАННЫХ ИЗГИБНЫХ КОЛЕБАНИЙ В СОСТАВНЫХ СВОБОДНО ОПЕРТЫХ ПЛАСТИНАХ

МЕХАНИКА

Abstract

Localized (interface) bending vibrations, of a composite rectangular plates consisting of two parts are investigated. The plate edges are freely supported. For the special case, when the parts of the plates differ by Poisson's ratio, the conditions of existence of localized vibrations, taking into account the lengths of the plate parts are studied. It is shown that: a) the localized waves at the joints of the parts can exist only in the plates, the length of whose parts exceeds the critical values equal to 46,6583; b) for еаch value of the Poisson’s ratio of the second part has one or two values, depending on the belonging of the ratio to the sections (14); a similar conclusion can be made concerning the Poisson’s ratio of the first part of the plate.