  The paper gives a description of wave propagation in discrete-periodic
one-dimensional media with block structure. For one-dimensional problems
mathematical models are proposed that describe block structures in the form of
a mass chain or bars connected by elastic springs and viscous dampers. For
these models, the numerical calculations of the parameters of perturbations are
obtained as well as asymptotic solutions at large time since the beginning of
pulse action. The numerical calculations and analytical solutions are compared.
