Klymenko M. Numerical analysis of wave processes and stationary deformation of multi-layer cylinders

The dissertation is concerned with the development of an effective finite elements method for modeling wide classes of stationary tasks of infinite multi-layer cylinders dynamics - researching free resilient waves expansion and stationary deformation of infinite multi-layer cylinders under the effect of mobile and acoustic loads. The application of such a method allows to solve the tasks using one algorithm for cylinders built of an arbitrary quantity of layers without limitation of their geometrical as well as physical and mechanical characteristics. For numerical analysis of the tasks the approach based on the application of one-dimensional finite line elements is proposed in the dissertation work. With the aid of the proposed finite elements method, dispersion dependences between the frequency and phase velocity of free waves symmetrical and non-symmetrical to the axis for five-layer cylinders are built and researched. The cases of rigid and sliding contacts between separate layers are investigated.