Mathematical modelling of operational stability of sowing machines’ mechanical systems
Journal Title: Восточно-Европейский журнал передовых технологий - Year 2018, Vol 4, Issue 1
Abstract
<p>This study addresses the construction of mathematical models for the operational stability of mechanical systems in agricultural seeders. The objects of research are the coulter systems of seeders with a support-packer roller and direct sowing planters, which are the disc working bodies of most sowing machines. The complexity in mathematical modeling of systems stability is due to a significant number of factors whose values are of variable and random character. To model them, it is proposed to explore the stability of systems based on their control parameters: lengths and angles of inclination, installation height of nodes and parts of a seeder, etc. The endogenous and exogenous parameters that include the following: step at sowing, soil surface depth and its properties, dimensions and weight of seeds, etc., are fixed at preset limits, in accordance with agricultural conditions. Difficulties in solving such systems of differential equations and obtaining the analytical solutions are explained by the condition for an inverse problem: the forces that act on a system must by in a constant equilibrium. The proposed modeling of system stability is based on the Lyapunov second method, which implies the construction and investigation of functions of perturbed motion at variable control parameters. We have established expressions for determining the stage of asymptotic stability of the system, which are characterized by the magnitude of time and distance that are required to return it to the unperturbed state. The obtained resulting mathematical expressions allowed us to establish significant factors: the length of a hitch, the rigidity of a spring, the inclination angle of a hitch, distance to the point of fastening a spring rod, which define the perturbed path of the coulter system. The result of modeling is the obtained damping character of the perturbed motion of the examined systems, as well as the established dependences of perturbed path of coulter systems on the above-specified parameters.</p><p>To test the adequacy of the derived mathematical expressions for determining the stability of sowing machines, to refine the ranges in the variation of significant parameters, we carried out an experimental research. We employed the procedure for a multi-factorial experiment. As a result, with the help of the developed modelling method and based on the experiment conducted, we determined the rational parameters for working bodies of sowing machines of different types, which could be applied for efficient operation and in the design process of similar machines.</p>
Authors and Affiliations
Olena Mogilnay, Vladimir Paschenko, Sergei Kharchenko, Kostiantyn Siedykh
Keywords
Related Articles
- EP ID EP528048
- DOI 10.15587/1729-4061.2018.139846
- Views 58
- Downloads 0
Identification of the state of an object under conditions of fuzzy input data
The modernization of the methods for identification of the state of objects under conditions of fuzzy input data, described by their membership functions, was performed. The selected direction of improvement of tradition...
A study of the effect of deposition conditions on the phase-structural state of ion-plasma WC – TiC coatings
<p>Studies of the influence of thermal and radiation factors on the elemental composition and phase-structural state of WC-TiC ion-plasma condensates of a quasibinary system are presented. As a thermal factor, we used di...
Geothermal investigation uses a dipoledipole configuration geoelectric methods with delphi programming
<p>The position of Indonesia which is located at the confluence of three plates (Eurasia, Indies Australia, and the Pacific) causes the formation of a series of volcanoes in some parts of the country and causes the forma...
Comparator effect on equivalence of results of calibrating current transformers
Many different high-precision systems for determining the ratio error and phase displacement of current transformers have been developed by leading specialists in the world. The latest research solutions with the use of...
Development of the model of the antagonistic agents behavior under a cyber conflict
<p>The results of the development of the model of the antagonistic agents behavior in a cyber conflict are presented. It is shown that the resulting model can be used to analyze investment processes in security systems,...