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On the basis of the equations of generalized plane stress state the problems of planar vibrations of a rectangular thin plate are investigated. It is established possibility of the appearance of vibrations with amplitude decreasing exponentially, when moving from free edge to the opposite fixed edge. The conditions of the appearance of such localized vibrations depending on the size of the plate and the methods of fixation of other three sides are obtained.

ON THE CONDITION OF PLANAR LOCALIZED VIBRATIONS APPEARANCE IN THE VICINITY OF THE FREE EDGE OF A THIN RECTANGULAR PLATE