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The approaches and methods of improving the quality and efficiency of agricultural machinery repair are of priority importance in Ukraine today. The tough competitive environment in the interstate and domestic market of technical services dictates its own terms. One of the promising research methods is the planning of an experiment in the optimization of multifactorial processes, such as vibration strengthening processing of agricultural machinery parts.The object of the research in this article was the technological process of finishing, cleaning and strengthening processing of parts of tillage machines with their surface plastic vibration deformation.The purpose of the work was to plan a multifactorial experiment for the theoretical determination of the compromise parameters of the operation of a vibration machine with an activator of the movement of the working medium for strengthening the treatment of the working bodies of tillage machines.The task of the work was to: analyze research and publications on the basics of probability theory, mathematical statistics, foundations of correlation, variance and regression analyzes, planning an optimal experiment; obtain the coefficients of complex equations of multiple regression of the 2nd order and plot the dependence of the consumed energy consumption by the developed installation on the amplitude of oscillations of the working chamber, the amplitude of oscillations of the activator, angular velocity of the drive shaft of the working chamber, angular velocity of the drive shaft of the activator, processing time; the height of microroughnesses from the vibration amplitude of the working chamber, the vibration amplitude of the activator, the angular velocity of the drive shaft of the working chamber, the angular velocity of the drive shaft of the activator, the processing time; surface hardness on the vibration amplitude of the working chamber, vibration amplitude of the activator, angular velocity of the drive shaft of the working chamber, angular velocity of the drive shaft of the activator, processing time; based on the results of the research and testing of the developed installation on the basis of the constructed response surfaces of the processes under study, to determine the rational technological parameters of its operation, the compromise value of which can be obtained by the Cramer method in the mathematical environment "Mathcad 15".The research methodology was based on mathematical statistics, correlation, variance and regression analyzes, planning an optimal experiment.In scientific work, based on the results of a multifactorial experiment, a mathematical model was obtained in the form of multiple second-order regression, which adequately describes the technological process under study. Compromise technological parameters of the investigated process were obtained, which are: the amplitude of oscillations of the working chamber - 2-4 mm; the vibration amplitude of the activator is 1.5-2.5 mm; the angular speed of the drive shaft of the working chamber - 115-120 rad/s; the angular speed of the drive shaft of the activator 130-145 rad/s; processing time - 80 min.

PLANNING A MULTI-FACTOR EXPERIMENT FOR DETERMINING RATIONAL PARAMETERS OF THE VIBRATION MACHINE OPERATION