Mathematical model of the supporting structure of a finely-dispersing sprinkler installation

Abstract

BACKGROUND: The paper considers the issue of creating a reliable system for protecting fruit plantations from adverse atmospheric phenomena, diseases, pests in mountain terrain, which can be solved with the use of artificial irrigation. To solve this issue, it is necessary to develop a supporting structure for a finely-dispersing sprinkler installation with sprayers attached to it, which make it possible to process fruit plantations from all sides simultaneously. At the same time, the design and technological parameters of the operation of the finely-dispersing sprinkler installation depend on ensuring the strength and stability of the supporting structure.
 AIMS: Development of the mathematical model of the supporting structure of the finely-dispersing sprinkler installation.
 METHODS: The methods of physical and mathematical modeling, the method of task-oriented enumeration of parameters (the Gemerling’s method) were used. The research object is the supporting structure of the finely-dispersing sprinkler installation. The verification of the operability of the supporting structure according to the criteria of strength and stability was carried out with a computer using the MATLAB software.
 RESULTS: An optimization problem has been solved for 4 variants of the layout of the supporting structure of the finely-dispersing sprinkler installation.
 CONCLUSIONS: Various options for the layout of the supporting structure of the finely-dispersing sprinkler installation have been obtained, ensuring the fulfillment of the conditions of stability and strength; technological requirements for the total length of the pipeline, for its internal diameter and for the number of nozzles; the requirements of the standard for the material and outer diameter of the pipeline.