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 63
- Downloads 0
The development of methods for determining vibration stochastic fields of technological complexes
<p>The force effects occurring in technological complexes have been studied on the basis of the analysis of technical diagnostics system. Due to the distinction between deterministic and random force effects, there have...
Improvement of the process of hydrothermal treatment and peeling of spelt wheat grain during cereal production
<p>The influence of hydrothermal treatment (grain moistening, steeping) and peeling duration on the yield and quality of spelt wheat cereal was studied. The mechanism of the influence of the studied factors on the format...
Studying truck transmission oils using the method of thermal-oxidative stability during vehicle operation
<p>Development of technical maintenance of transport means consists in providing their technical state at a significant level of functional operability for which the use of quality lubricants is a key requirement. Theref...
Definition of energy efficient law of mechanical impact in vibratory stress relief of metal parts
<p>The study is based on the method of vibratory stress relief, which is used to reduce the residual stresses in cast and welded parts, and is an alternative to thermal deformation methods, because it is unpretentious to...
Determining efficient values for the thermophysical properties of bulk materials
A procedure has been devised for determining the effective thermophysical properties of bulk materials with different granulometric and material composition, based on the integration of discrete and continuous models of...