<p>A circular cylindrical cavity filled with compressible ideal liquid with two thin elastic spherical shells filled with another liquid (encapsulated particles) and located on the axis of the cavity is considered. The problem to determine the hydrodynamic characteristics of the mechanical system depending on the angular frequency and amplitude of a plane harmonic wave propagating along the cavity axis, as well as the geometric parameters of the system and the properties of the liquids filling the cavity and shells is solved. The exact analytical solution of the boundary axisymmetric problem was derived using variable separation and translation addition theorems for special functions. The analysis of pressure and velocity fields revealed that compared to a single spherical inclusion on the cavity axis, the considered mechanical system has a larger number of “conditionally-resonant” frequencies, where the acoustic characteristics exceed the amplitude of the incident wave by several orders of magnitude. At these frequencies, the radiation force function reaches its maximum value, and the particles can either move apart or toward each other depending on the frequency. The hydrodynamic parameters are significantly influenced by the acoustic waves reflected from the cylindrical boundary. The obtained results generalize the methods for solving problems related to the interaction of a plane harmonic wave with liquid and solid spherical inclusions on the axis of the infinite or semi-infinite cylindrical cavity.</p>