Abstract:

The study of the behavior of deformation waves in elastic shells is an important part of modern wave dynamics. At the same time, the influence on the wave process in elastic structures with fractional physical nonlinearity has not been studied in the literature. In this paper, we study the effect of fractional physical nonlinearity in elastic shells on the propagation of longitudinal strain waves. Exact solutions of nonlinear equations of dynamics are found.

Keywords: non-linear waves, elastic cylinder shell