scholarly journals Mathematical simulation of separating work tool technological process

2019 ◽  
Vol 132 ◽  
pp. 01025
Author(s):  
Sylwester Tabor ◽  
Aleksandr Lezhenkin ◽  
Serhii Halko ◽  
Aleksandr Miroshnyk ◽  
Stepan Kovalyshyn ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Mathematical Simulation ◽  
Technological Process ◽  
Response Function ◽  
Mathematical Analysis ◽  
Response Surfaces ◽  
Regression Equations

The article describes the technological process of separation of the heaped-off pile of wheat. A mathematical model in the form of regression equations was obtained based on a full-factor experiment. Using the methods of mathematical analysis, the regression equations were investigated for the highest and lowest values. The values of the factors were obtained, for which the response function has the highest values, then the response surfaces were constructed and analyzed.

scholarly journals Mathematical processing of results experimental studies of low-temperature modes of drying of capillary-porous materials of spherical shape

2019 ◽  
pp. 20-25
Author(s):  
Yu.F. Snezhkin ◽  
V.М. Paziuk ◽  
Zh.O. Petrova
Keyword(s):  
Mathematical Model ◽  
Low Temperature ◽  
Porous Materials ◽  
Experimental Studies ◽  
Spherical Shape ◽  
Response Surfaces ◽  
Convective Drying ◽  
Regression Equations ◽  
Drying Time ◽  
Mathematical Processing

The mathematical processing of experimental data obtained during the drying of spherical form of capillary-porous materials on a convective drying bench allows us to determine the influence of various factors on the process. The main factors influencing the kinetics of drying of capillary-porous materials of spherical shape are the temperature and velocity of the heat carrier, as well as the initial moisture content of the material. For each factor, the variation levels corresponding to the optimal conditions for conducting experimental studies with low-temperature drying conditions are recommended. For a mathematical description of the duration of drying of capillary-porous materials, we use an orthogonal composite plan of the second order. As a result, the proposed mathematical model of the process obtained regression equations and the response surface of the duration of drying of capillary-porous materials of spherical shape. The obtained regression equations of the drying time give a detailed description of the influence of both individual and joint actions of factors, the significance of these parameters is determined by the corresponding coefficients according to Student's criterion. Also, the adequacy of the mathematical model according to Fisher's criterion, which corresponds to the real object, is checked. The construction of the response surfaces of the drying time of capillary-porous materials indicates the nature of the effect of these factors in the given range of variation.

scholarly journals MATHEMATICAL MODELING OF TECHNOLOGICAL PROCESS OF COTON-CONTAINING FABRIC DECOCTION

2021 ◽  
Vol 295 (2) ◽  
pp. 264-270
Author(s):  
Oksana TKACHUK ◽  
Keyword(s):  
Technological Process ◽  
Breaking Load ◽  
Response Surfaces ◽  
Textile Material ◽  
Raw Material ◽  
Joint Stock Company ◽  
Regression Equations ◽  
Stock Company ◽  
Tissue Samples

Flax is a very valuable raw material for making fabric. The processes of preparation of flax-containing textile material are multi-stage and energy-intensive. Therefore, the development of effective methods of preparation of flax-containing textile material is relevant. In this work, the method of mathematical planning of the experiment conducted a study of the dependence of the breaking load, capillarity and the degree of whiteness of cotton-containing textile material on the concentration of components of the boiling bath. The research was carried out on a mixed polyester-cotton-linen fabric TPK-11 produced by the private joint-stock company “Edelvika” (Lutsk). Technological process of boiling was carried out periodic method on a painting- roller machine. After boiling, the tissue samples were bleached according to the recipe based on hydrogen peroxide under the same conditions. Evaluation of the quality of boiled fabric was performed on such indicators as capillarity, breaking load and degree of whiteness. Processing of research results was carried out in the program “MathCAD 15”. At the result regression equations and response surfaces was received. The analysis of the obtained results shows that the quality of preparation of mixed flax-containing fabric depends on the concentration of the components of the boiling bath, and these models allow to establish the optimal recipe regimes of the boiling process. The obtained data can be used to justify further research.

scholarly journals Engineering Mathematical Analysis Method for Productivity Rate in Linear Arrangement Serial Structure Automated Flow Assembly Line

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Tan Chan Sin ◽  
Ryspek Usubamatov ◽  
M. A. Fairuz ◽  
Mohd Fidzwan B. Md. Amin Hamzas ◽  
Low Kin Wai
Keyword(s):  
Mathematical Model ◽  
Failure Rate ◽  
Mathematical Analysis ◽  
Assembly Line ◽  
Flow Line ◽  
Analysis Method ◽  
Machining Time ◽  
Linear Arrangement ◽  
Final Assembly ◽  
Productivity Rate

Productivity rate (Q) or production rate is one of the important indicator criteria for industrial engineer to improve the system and finish good output in production or assembly line. Mathematical and statistical analysis method is required to be applied for productivity rate in industry visual overviews of the failure factors and further improvement within the production line especially for automated flow line since it is complicated. Mathematical model of productivity rate in linear arrangement serial structure automated flow line with different failure rate and bottleneck machining time parameters becomes the basic model for this productivity analysis. This paper presents the engineering mathematical analysis method which is applied in an automotive company which possesses automated flow assembly line in final assembly line to produce motorcycle in Malaysia. DCAS engineering and mathematical analysis method that consists of four stages known as data collection, calculation and comparison, analysis, and sustainable improvement is used to analyze productivity in automated flow assembly line based on particular mathematical model. Variety of failure rate that causes loss of productivity and bottleneck machining time is shown specifically in mathematic figure and presents the sustainable solution for productivity improvement for this final assembly automated flow line.

Methodology of Estimation of Fire Separation Distances between Construction Facilities by Calculation

2020 ◽  
Vol 1006 ◽  
pp. 93-100
Author(s):  
Vadym Nizhnyk ◽  
Yurii Feshchuk ◽  
Volodymyr Borovykov
Keyword(s):  
Mathematical Model ◽  
Heat Flux ◽  
Linear Regression ◽  
Ignition Temperature ◽  
Oil Products ◽  
Regression Equations ◽  
Fire Load ◽  
Literary Sources ◽  
Tabular Method

Based on analysis of appropriate literary sources we established that estimation of fire separation distances was based of two criteria: heat flux and temperature. We proposed to use “ignition temperature of materials” as principal criterion when determining fire separation distances between adjacent construction facilities. Based on the results derived while performing complete factorial we created mathematical model to describe trend of changing fire separation distances depending on caloric power of fire load (Q), openings factor of the external enclosing structures (k) and duration of irradiation (t); moreover, its adequacy was confirmed. Based on linear regression equations we substantiated calculation and tabular method for the determination of fire separation distances for a facility being irradiated which contains combustible or otherwise non-combustible façade and a facility where liquid oil products turn. We developed and proposed general methodology for estimation of fire separation distances between construction facilities by calculation.

Development of a Mathematical Model for a Workpiece Heating and Cooling in a Protective Medium while Treatment under Pressure

2021 ◽  
Vol 410 ◽  
pp. 115-122
Author(s):  
Victoria V. Devyatiarova ◽  
Eugenia E. Balakhnina ◽  
Lilya M. Valeeva
Keyword(s):  
Mathematical Model ◽  
Cross Section ◽  
Arbitrary Shape ◽  
Thermal Conductivity Coefficient ◽  
Regression Equations ◽  
Heating And Cooling ◽  
Temperature Problem ◽  
Protective Medium ◽  
Computer Calculations ◽  
The Mathematical Model

The paper reviews and develops the mathematical model of plastic flow during the hot-forming processes. A flat non-stationary temperature problem for a cross-section of a long solid (rolled product) of arbitrary shape with different heat transfer conditions along the perimeter of the cross-section was considered. Equations for calculation of the thermal conductivity coefficient and heat capacity of tungsten billets were obtained in the temperature range of 700 - 1500°C, based on the literature data. Analytical dependences in form of regression equations were obtained, allowing for computer calculations of physical specifications of 11x11 mm VA grade tungsten billets in form of temperature functions with accuracy sufficient for practical calculations.

scholarly journals The influence of technological parameters for the production of plasticized polyvinylbutyral films on their optical and physico-mechanical properties

2019 ◽  
pp. 7-8
Author(s):  
M. M. Egorov ◽  
V. I. Milov ◽  
M. K. Timin ◽  
T. P. Mukhina ◽  
V. S. Smirnov ◽  
...  
Keyword(s):  
Mechanical Properties ◽  
Mathematical Analysis ◽  
Polyvinyl Butyral ◽  
Factorial Experiment ◽  
Regression Equations ◽  
Technological Parameters ◽  
Full Factorial Experiment ◽  
Effect Of Pressure ◽  
Direct Pressing ◽  
Full Factorial

The effect of pressure, temperature and time during direct pressing on the strength and optical characteristics of adhesive plasticized polyvinyl butyral films is studied. A mathematical analysis of the results of a full factorial experiment is carried out and the regression equations are derived.

scholarly journals Mathematical simulation of BF hot blast temperature influence on variations of silicon content in hot metal

2018 ◽  
pp. 25-31
Author(s):  
P. P. Semenyuk ◽  
R. E. Velikotsky ◽  
N. A. Rumyantseva
Keyword(s):  
Mathematical Model ◽  
Mathematical Analysis ◽  
Silicon Content ◽  
Statistical Data ◽  
Hot Metal ◽  
Blast Temperature ◽  
Mathematical And Computer Simulation ◽  
Hot Blast ◽  
Operation Results ◽  
Steel Works

The problem of influence of sinter production technological factors on silicon content and particularly variations of Si (ΔSi) in hot metal is actual for the up-to-date metallurgy.Traditional methods and plans of studies of BF heat running at present are considered less precise and effective comparing with up-to-date methods of mathematical and computer simulation, since the last provide an ability to forecast and optimize numerous parameters of BF process.A complex mathematical analysis of dependence between hot blast temperature and ΔSi by application of the universal mathematical model, specially elaborated and adapted for industrial conditions of sinter plant operation of Alchevsk steel-works was the task of the study.Influence of hot blast temperature (X-Factory) on minimization of ΔSi (Y-Factory) studied. Complex mathematical analysis was carried out using statistical data collected during 65 months of Alchevsk steel-works blast furnace of 3000 m3 operation. Results of calculation of influence of hot blast temperature on ΔSi by application of the universal mathematical model presented. Minimization of ΔSi when optimizing hot blast temperature reached. Accuracy of calculation using the elaborated model was more 99% of actual operational statistic.

Classification of mathematical models of technological design

2021 ◽  
pp. 68-71
Author(s):  
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Technological Process ◽  
Process Design ◽  
Geometric Parameters ◽  
Technological Design ◽  
Technological Processes ◽  
Technological Preparation

The use of mathematical models is of great importance for the automation of the design of technological processes. Representation of the geometric parameters of the part in the form of mathematical models allows automating the development of the structure and calculation of the parameters of the technological process, which is important for the complete digitalization of the technological preparation of production. Keywords: technological process, design, mathematical model, digitalization. [email protected]

scholarly journals Mathematical Analysis of an Autoimmune Diseases Model: Kinetic Approach

Mathematics ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 1024 ◽  
Author(s):  
Mikhail Kolev
Keyword(s):  
Mathematical Model ◽  
Autoimmune Disease ◽  
Kinetic Theory ◽  
Autoimmune Diseases ◽  
Functional State ◽  
Mathematical Analysis ◽  
Numerical Results ◽  
Kinetic Approach ◽  
Basic Information ◽  
View Point

A new mathematical model of a general autoimmune disease is presented. Basic information about autoimmune diseases is given and illustrated with examples. The model is developed by using ideas from the kinetic theory describing individuals expressing certain functions. The modeled problem is formulated by ordinary and partial equations involving a variable for a functional state. Numerical results are presented and discussed from a medical view point.

Sign in / Sign up

Export Citation Format

Share Document