ABSTRACT
The main disadvantage of the cumulative jet is the velocity gradient on the jet length.
Due to the velocity gradient, the jet has effectiveness only in a strong focus distance
from the target. One possibility to resolve this problem is by the Cauchy problem.
The Cauchy problem for a shaped charge design optimization is presented in the
report. The optimization includes the profile determination of main surfaces of the
shaped charge elements, which influences into the forming of the cumulative jet
under condition of the no-gradient velocity of the jet length.
The solution of the task is fulfilled within the hypothesis of the radial-flat scheme of
the hydrodynamic model of Orlenko-Staniukovitch. On this basis, the functions of the
shaped charge main elements profiles (shell, liner and explosive charge between
them) enter into the first order ordinary differential equation.
In the end, the Cauchy problem for the first order ordinary differential equation is
formulated considering the unknown function of the cumulative charge geometry on
condition if other function is known. The solutions allow the cumulative liner profile
design in case of a known shell profile, or the shaped charge shell profile design in
case of a known cumulative liner profile. In both cases the designed profiles ensure
no-gradient velocity jet forming and its saving in a distance different from the focus.
The experiments with the designed charges were verified into an armor in a distance
between shaped charges and armor up to 7 calibers.