Abstract:

The article is devoted to the study of the propagation of longitudinal deformation waves in physically nonlinear elastic coaxial shells with a viscous incompressible fluid between them. The effect of the inertia of fluid motion on the speed and amplitude of the wave is taken into account. Qualitative analysis methods do not allow studying deformation wave models in the case of a shell filled with a viscous incompressible fluid. Therefore, it becomes necessary to use numerical methods. In the presence of waves specified in both shells, the results of the numerical experiment coincide with the exact solution. In the presence of a liquid, energy is transferred between the shells, which was demonstrated by a computational experiment in the presence of a wave in the outer shell and its absence in the inner shell at the initial time. _____________________________________________________________________________________________________________________________________ https://doi.org/10.24411/2541-9269-2020-10104

Keywords: nonlinear waves, elastic cylindrical shells, viscous incompressible fluid, Crank-Nicolson difference scheme.