Aerospace Technic and Technology

When studying the influence of the fractional composition of the working mixture of powders on the characteristics of solid mixed rocket fuel (SMRF), optimization is proposed using the jumping frog method to construct time-optimal experimental designs. It is known that the proportion of the fractional agent (FA) product in the composition of SMRF is the largest and amounts to 80 %. Consequently, the FA product has one of the greatest effects on the whole range of physicochemical properties of SMRF. Thus, the task of determining the effect of the FA product on the properties of SMRF is very relevant. The application of experimental design methods reduces the cost and time costs in the study of various technological processes, devices, and systems. Minimizing the number of transitions of factor levels in terms of the experiment, in turn, leads to a decrease in the cost (time) of its implementation. The goal of the work is the optimization of the full factorial experiment time-lapse experiment using the jumping frog method. To this end, a method is proposed for constructing a time-optimal implementation of the experiment planning matrix using the jumping frog algorithm. In the jumping frog method, a successful frog is determined by the least transition time between levels for each of the factors. After that, frog permutations are performed. The frog strives for the most successful and, if located nearby, remains in its current location. The software has been developed that implements the proposed method, which was used to conduct computational experiments to study the properties of this method when studying the influence of the fractional composition of the working mixture of powders on the characteristics of solid mixed rocket fuel. The experimental plans optimal in terms of implementation time were obtained, and also the winnings in the optimization results are given in comparison with the initial experiment time. A full factorial experiment was carried out to study the effect of the fractional composition of the working mixture of powders on the characteristics of SMRF, based on which recommendations were made regarding the effect of the fractional composition of the working mixture of powders and the content of liquid-viscous components in the composition on the properties of SMRF. Mathematical models are also constructed, the coefficients of which characterize the effect of the content of liquid-viscous components in the composition on the properties of the SMRF. The experiments confirmed the efficiency of the proposed method and the software that implements it, and also allow us to recommend it for practical use in constructing the optimal planning matrices of the experiment.

optimization; experiment planning; the working mixture of powders; optimal plan; jumping frog method; time

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