10-18
The Problem of the Solution’s Stability of the Mathematical Model of a Pyrotechnic Device
Authors: Nicholas W. Mitiukov, Darya A. Korepanova, Elena L. Busygina
Number of views: 179
Pyrotechnic devices are widely used in law enforcement agencies, since the energy released in it makes it indispensable for creating compact and autonomous mechanisms or special-purpose devices. Currently, the development of promising pyrotechnic devices is carried out mainly experimentally, which requires significant material and time costs. The mathematical model of the pyrotechnic device, formulated by us in 2012, demonstrated satisfactory accuracy, using the example of the “Nika” pyrotechnic installation and a stand for impact tests. At the same time, it had problems with the stability of the solution, found in solving a number of problems. They were more or less present when using different methods of numerical integration, both constant and variable step. The addition of three differential equations for volume, pressure and density to the model made it possible to solve this problem. Its software implementation in the Delphi environment has shown that even with the Euler method at a step less than 10–4 s, the solution becomes stable, despite the rigidity of the problem.