We consider a compound plate whose cross section consists of annuli S i (j = 1, l) bounded by the circles L,, (rn = 0, l). The regions S i are made of different materials whose shear moduli G and Poisson coefficients v depend on the coordinates: G = Gog(z, 2), v = v(z, 2). They are welded or glued together along corresponding surfaces without any'preliminary interference. The plate is loaded over the outer and inner contours by a longitudinal load of intensity p pulsing with frequency w.In