UNSTEADY VIBRATIONS OF TWO THIN ELASTIC SPHERICAL SHELLS IN AN ACOUSTIC SPACE

An axisymmetric problem of unsteady vibrations of two thin elastic spherical shells in an acoustic space is considered. The problem is reduced to an infinite system of linear algebraic equations for the Laplace transforms. The solution of the system is sought in the form of series of exponential functions. This approach is a development of the methods used in [ 1, 2].