DYNAMICS OF STRUCTURAL - INHOMOGENEOUS COAXIAL-MULTILAYERED SYSTEMS "CYLINDER-SHELLS"

The work is devoted to the development of a mathematical model and methodology for assessing the efficiency of dissipative abilities of structurally heterogeneous mechanical systems consisting of multilayer cylinders fastened with a thin viscoelastic shell of finite length. A detailed analysis of known works devoted to this problem is given. A model, methodology and algorithm have been developed for studying the natural and forced vibrations of a system to assess the damping ability of structurally inhomogeneous elastic and viscoelastic mechanical systems, taking into account the influence of geometric and physico-mechanical parameters of the shell and cylinder. In solving the problems considered, the method of divided variables, the method of the theory of potential functions, the Mueller method, the Gauss method and the orthogonal sweep method were used. The complex eigenfrequencies, amplitudes of forced oscillations are determined, and the largest dephasing abilities of the considered neonordic systems are estimated. It was revealed that the effect of large damping abilities in the system manifests itself when the real parts of the complex eigenfrequencies come closer due to the interaction of close eigenmodes with each other.