Mathematical modeling of stability of mechanical system of discator

Authors

DOI:

https://doi.org/10.31548/machenergy2021.04.061

Keywords:

discator, disk, elastic disk rack, disk tool, deformation of the elastic rack, the stability of the system

Abstract

The study is devoted to the construction of mathematical models of the stability of the mechanical system of the disc harrow for surface tillage. The objects of scientific research are selected disk working bodies on elastic racks and a support-rolling roller. The article presents the results of mathematical modeling of the stability of the mechanical system of the disc with the attachment of the working bodies on the elastic racks and the support-rolling roller. As a result of analytical researches the system of differential equations of oscillations of a frame and working bodies of the disc harrow during performance of technological process taking into account changes of physical and mechanical properties of soil is made. According to the developed algorithm in the Mathematica software package the expression in the form of regression equation for determining the degree of asymptotic stability at the angle of oscillation of the frame φ of the working bodies of the disc depending on its design and technological parameters, namely, the step of the spiral of the first and second rows aI aII, the distance between the elastic struts Δx, diameter d, angles of attack α and the inclination γ of the disk working body, the speed of its movement V when performing the process.

References

Shevchenko I. A. (2016). Keruvannya agrophysical camp of the soil center. Kyiv. Vidavnichy dim "Vinichenko". 320.

Gukov Ya. S. (2007). Technology and technology. Mechanical and technological processing of energy-saving means for mechanization of processing the structure in the minds of Ukraine. Kyiv. DIA. 276.

Zayika P. M. (2001). Theory of silskogospodarsky machines. Vol. 1 (4.1). Machines that are known for processing the runt. Kharkiv. Oko. 444.

Kozachenko O. V. (2008). Problems of resource conservation in silskogo-consumer units. Kharkiv. Tornado. 272.

Kushnarev A., Shevchenko I., Dyuzhaev V., Kushnarev S. (2008). Mechanics of interaction of working bodies on elastic suspension with soil. Agroindustrial complex technology. 8. 22-25.

Gaponenko O. I. (2017). Determination of parameters of spring risers of disk runtoobrobnyh aggregates: abstract of Ph.D. dis. ... Cand. tech. Sciences: 05.05.11. National University of Bioresources and Natural Resources of Ukraine. Kyiv. 23.

Kozachenko O. V., Syedikh K. V., Volkovskiy O. M. (2020). Physical-mathematical model of interconnection of a disk with soil. Environmental engineering. Kharkiv. KhNTUSG. No. 2 (16). 69-77.

Kushnarev A. S. (2010). Discator - a new tillage tool that provides a transition from traditional agricultural production technology to energy-saving No-till technology. Bila Tserkva. 60.

Shevchenko I. A. (2001). Obruntuvannya geometric parameters in the disk working organs. Pratsi Taurian State Agrotechnological Academy. 2(16). 13-19.

Aliyev Ye. B. Labatyuk Yu. M. (2015). Theoretical arrangement of the distribution of working organs of glibokorozpushuvach on the frame of the yard. Technology, energy, transport of the agro-industrial complex. 3(92). 5-9.

Bakum M. V. (2019). Substantiation silskogospodarsky machines. Part I. Book 2. Machines for processing ґruntu. Kharkiv. Promart. 436.

Gutsol O. P., Kovbasa V. P. (2016). Obruntuvannya parameters and modes in the hands of robotic machines with disk working organs: monograph. Kyiv. 145.

Pashchenko V. F., Kim V. V. (2010). Methods of constructing mathematical models of stability of the functioning of mechanical systems. Kharkov. KHNAU. 115.

Landau L. D., Lifshits E. M. (2012). Mechanics. Moscow. Fizmatlit. 224.

Rogovskii I. L., Titova L. L., Trokhaniak V. I., Haponenko O. I., Ohiienko M. M., Kulik V. P. (2020). Engineering management of tillage equipment with concave disk spring shanks. INMATEH. Agricultural Engineering. 60(1). 45-52. doi: 10.35633/INMATEH-60-05.

Rogovskii I. L., Palamarchuk I. P., Kiurchev S. V., Verkholantseva V. O., Voinash S. A., Sokolova V. A., Gogolevski A. S. (2020). Mathematical modeling of the impulse bubbling process of bulk mass by the coolant flow. IOP Conference Series: Materials Science and Engineering. vol. 919. 052026. doi:10.1088/1757-899X/919/5/052026.

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Published

2022-01-16

Issue

No. 12(4) (2021)

Section

Статті

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