scholarly journals MATHEMATICAL MODELING OF THE MECHANISM POST-TRAILED KPP-4.2

2019 ◽  
pp. 5-10
Author(s):  
Natalia Veselovska ◽  
Alexander Malakov ◽  
Sergiy Burlaka
Keyword(s):  
Mathematical Modeling ◽  
Geometric Model ◽  
Functional Limitations ◽  
Computer Software ◽  
Integral Calculus ◽  
Excessive Pressure ◽  
Parametric Synthesis ◽  
Internal Parameters ◽  
Theoretical Mechanics ◽  
Selection Of

Maintaining the required cut height minimizes losses and ensures continuous shoe contact with the surface. Thus the excessive pressure of the shoe destroys the stubble and leads to its accelerated wear, and insufficient pressure is accompanied by increased losses and provokes the galloping of the header. An analytical solution to the problem of modeling the mechanism of the KPP-4.2 hanging is an iterative execution of the analysis procedures based on the formed hypothesis, as well as the procedures of comparison and selection of options in the procedure of parametric synthesis. It is a choice of a combination of internal parameters of the flattening device, which, while satisfying the functional limitations, simultaneously stabilize the whole mechanism. A study and analysis of the hanging mechanism of a mower-conditioner trailed KPP-4.2 using methods of theoretical mechanics, differential and integral calculus, probability theory, mathematical modeling and computer software. A geometric model has been created for calculating and optimizing the operation of the hanging mechanism. The MVA KPP-4.2 output parameters were calculated for three different cut heights.

scholarly journals MODELING OF THE LIVING-CONVERTING APPARATUS OF KSK-600 KORMOSBIRAL COMBINE

2019 ◽  
pp. 17-24
Author(s):  
Alexander Malakov ◽  
Sergiy Burlaka ◽  
Roman Yaroshchuk
Keyword(s):  
Mathematical Modeling ◽  
Computer Software ◽  
Application Software ◽  
Experimental Sample ◽  
Work Processes ◽  
Integral Calculus ◽  
Laboratory Facilities ◽  
Working Bodies ◽  
Experimental Researches ◽  
Theoretical Mechanics

The research and analysis of the interaction of working bodies of a grinding apparatus with herbal mass using the methods of theoretical mechanics, differential and integral calculus, probability theory and mathematical modeling with the use of computer software is carried out. Experimental researches were carried out on laboratory facilities and experimental sample of a crushing apparatus using the theory of planning of multifactorial experiments. Tenometric measurements of the values in determining the strength indicators of work processes were carried out using application software. The processing of the results of experimental data was carried out by the method of statistical and regression analysis on the PC.

scholarly journals OPTIMIZATION OF MECHANISM PARAMETERS FLOWERING PLANT WEIGHT MACHINES-TRAILERS TRAILER KPP-4,2

2020 ◽  
pp. 48-56
Author(s):  
Alexander Malakov ◽  
Sergiy Burlaka ◽  
Anatoliy Yelenych
Keyword(s):  
Environmental Parameters ◽  
Flowering Plant ◽  
Parametric Synthesis ◽  
Plant Weight ◽  
Operating Modes ◽  
Internal Parameters ◽  
Grass Stand ◽  
The Stability ◽  
Physical And Chemical ◽  
Selection Of

The article proposes a method of parametric synthesis of the device of flattening the plant mass of the mower-flatter of the trailed KPP-4,2. A method of modernization of the parameters of the flattening mechanism has been developed, which can be used in both trailed and self-propelled mowers. It is established that the stability of plant mass flattening through the streets of the planting apparatus directly influences the energy costs of deformation of plant mass and indirectly the magnitude and rate of loss of moisture and nutrients in the flattened mass, which is largely determined by the structure and parameters of the mechanism of flattening (MP). The analytical solution to the design problem of the flattening device KPP-4,2 has an iterative implementation of the analysis procedures based on the formed FMM, as well as the procedures of comparison and selection of options in the procedure of parametric synthesis of MP. It is to choose a combination of internal parameters of the flattening device, according to the selected structure of the MP, which, while satisfying the functional constraints, simultaneously stabilizes the pressure from the upper to the lower roller. The analytical dependences of the operation of the trailed mower-conditioner KPP-4.2 on the height, density of grass stand, culture, agrotechnical requirements, field topography and physical and chemical composition of the soil have been established. Depending on the listed factors, the initial data and coefficients used in modeling change. As a result, we obtain the corresponding dependencies, show how the productivity and useful work of the mower changes from changes in the environmental parameters of the mowed mass and operating modes. Directly from the data obtained, it is possible to recommend the operating modes of the mower to obtain maximum performance on a particular background of work. As a result, we received optimization data to improve the operation of the trailed mower-conditioner KPP-4,2 taking into account all variables and coefficients.

scholarly journals ДОСЛІДЖЕННЯ ЕНЕРГОЕФЕКТИВНОСТІ ОБЛАДНАННЯ ДЛЯ ЗМІШУВАННЯ СИПКИХ МАТЕРІАЛІВ

2019 ◽  
Vol 136 (4) ◽  
pp. 42-48
Author(s):  
О. П. Бурмістенков ◽  
Т. Я. Біла ◽  
В. В. Стаценко
Keyword(s):  
Mathematical Modeling ◽  
Comparative Analysis ◽  
Electric Drive ◽  
Bulk Materials ◽  
Energy Parameters ◽  
Motion Study ◽  
Theoretical Mechanics

The energy parameters determination of bulk materials mixing equipment. Methodology.  The  paper  used  methods  of  mathematical  modeling,  comparative  analysis  and research  of  electric  drive.  The  particles  motion  study  inside  the  mixer  was  performed  on  the  theoretical mechanics laws basis.

scholarly journals Exploring young students creativity: the effect of model eliciting activities

2014 ◽  
Vol 8 (2) ◽  
pp. 51-59
Author(s):  
Talya Gilat ◽  
Miriam Amit
Keyword(s):  
Mathematical Modeling ◽  
Creative Thinking ◽  
Real Life ◽  
Model Eliciting Activities ◽  
Thinking Processes ◽  
Young Students ◽  
Selection Of

The aim of this paper is to show how engaging students in real-life mathematical situations can stimulate their mathematical creative thinking. We analyzed the mathematical modeling of two girls, aged 10 and 13 years, as they worked on an authentic task involving the selection of a track team. The girls displayed several modeling cycles that revealed their thinking processes, as well as cognitive and affective features that may serve as the foundation for a methodology that uses model-eliciting activities to promote the mathematical creative process.Exploración de la creatividad de jóvenes estudiantes: el efecto de actividades que suscitan modelosEl objetivo de este artículo es mostrar cómo involucrar a los estudiantes en situaciones matemáticas de la vida real puede estimular su pensamiento matemático creativo. Analizamos la modelización matemática de dos chicas, de 10 y 13 años, cuando trabajaban en una tarea auténtica que involucraba la selección de un equipo de atletismo. Las chicas mostraron varios ciclos de modelización que revelaron sus procesos de pensamiento, así como las características cognitivas y afectivas que pueden servir como fundamento para una metodología que usa actividades que suscitan modelos para promover los procesos matemáticos creativos.Handle: http://hdl.handle.net/10481/29578Nº de citas en SCOPUS (2017): 1 (Citas de 2º orden, 0)

The Optimization of Mechanized Earthwork Processes

2016 ◽  
Vol 820 ◽  
pp. 96-101 ◽  
Author(s):  
Lucia Paulovičová
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Models ◽  
Decision Maker ◽  
Multicriteria Optimization ◽  
Optimization Process ◽  
Multicriteria Method ◽  
Wise Decision ◽  
The Right ◽  
The Cost ◽  
Selection Of

Earthwork processes are the most costly and time consuming component of construction these days and they are characterized by a powerful heavy mechanization which participate on the earthwork process. Current pressure for minimize the cost and maximize the productivity highlights the need to optimize earthworks. In this paper, the optimization process in the area of earthwork processes is described. The selection of the right types of machines for earthwork and its implements has become very difficult these days because of availability of variety of machines models and therefore a multicriteria method is presented to tackle the problem. This paper describes methodology for optimizing the earthwork process according to the selected optimal criteria. The methodology is focused on the proposal phase of optimization where the decision maker has to make a decision and choose the right type of excavators. To overcome the problem of comparing the chosen machines a mathematical modeling approach leading to multicriteria optimization was adopted to make the step wise decision. The methodology gives an mathematical models by which we can solve this problem.

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