CAUCHY PROBLEM FOR SHAPED CHARGE DESIGN OPTIMIZATION | ||||
| The International Conference on Applied Mechanics and Mechanical Engineering | ||||
| Article 11, Volume 15, 15th International Conference on Applied Mechanics and Mechanical Engineering., May 2012, Page 1-9 PDF (539.67 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/amme.2012.36906 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| H. I. Hristov | ||||
| Prof., Head of Armament and Ammunition Dept., Defense Institute, Sofia, Bulgaria. | ||||
| Abstract | ||||
| 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. | ||||
| Keywords | ||||
| Shaped charge; design; and Cauchy problem | ||||
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