Application of Dynamical Rigidity Method to Calculate Natural Lateral Vibrations of Space Rope System

The solution of the natural lateral vibrations problem is considered for two bodies connected with a flexible inextensible filament. A variant of the dynamical rigidity method has been applied. The filament dynamical rigidity matrix is obtained by transforming the transfer matrix used in the method of initial parameters. The numerical solution based on exact analytical relations presents the advantage of this approach. The method may be effective in calculating natural vibrations for objects being linear and distributed chains of filament, solid bodies, rods, beams, etc.