Abstract: “A finite elastic wedge shaped thick plate is considered. One of the faces is based on a rigid base, other is exposed to a dynamic oscillating loading through an absolutely rigid plate. On the side faces the conditions of the smooth contact are given, at the plate’s end stress are equal zero. The solving is based on a special linear transformation of Lame’s equations and an applying of the matrix integral transformation method. The proposed approach leads to a one-dimensional vector boundary value problem for which an exact solution is constructed. The analysis of the eigen frequencies’ distribution and resonance’s frequencies are done.”

Keywords: wedge shaped thick plate, integral transformation, vector boundary problem, exact solution