We study the free vibrations of a spherical shell filled with an elastic medium. The equa- tions of motion of a thin elastic spherical shell of exposure to internal pressure are given. Me- dium, filling the shell with a significantly has the lower modulus of elasticity. Solution for the free vibration of the system shell filler is presented. We construct an ana- lytical solution of the problem, dependence of the oscillation frequency of the shell without the filler as a function of the

more »

... of the shell - filler. A plot of the frequency spectra for the two branches is given