Abstract:

This article studies longitudinal strain waves in physically nonlinear coaxial elastic shells containing a viscous incompressible fluid, both between them and in the inner shell. The influence of the environment surrounding the outer shell on the wave amplitude and speed is taken into account. It is impossible to investigate deformation wave models by the methods of qualitative analysis in the case of filling the inner shell with a viscous incompressible fluid and taking into account the elastic medium surrounding the outer shell. This leads to the need of applying numerical methods. The presence of the influence of the inertia of fluid motion in the inner shell leads to the decrease of the velocity of deformation waves, and the presence of the elastic medium surrounding the outer shell leads to the increase in the velocity. The viscous stress of the liquid in the inner shell leads to the decrease of the wave amplitudes. ____________________________________________________________________________________________________________________________________________________ https://doi.org/10.24411/2541-9269-2020-00003

Keywords: non-linear waves, elastic cylinder shell, viscous incompressible liquid