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]

Construction of mathematical models of technological processes based on theory of sets

2021 ◽  
pp. 48-50
Author(s):  
S.Yu. Kalyakulin ◽  
E.V. Mitin ◽  
Sul'din S.P.
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Technological Process ◽  
Technological Processes

An approach to the construction of mathematical models of technological processes based on theory of sets is considered. Keywords: structure, isomorphism, mathematical model, technological process, connections, technology. [email protected]

Classification of Mathematical Models for Process Design

2021 ◽  
Vol 41 (11) ◽  
pp. 1045-1048
Author(s):  
S. Yu. Kalyakulin ◽  
E. V. Mitin ◽  
S. P. Sul’din
Keyword(s):  
Mathematical Models ◽  
Process Design

scholarly journals МОДЕЛЮВАННЯ ХІМІКО-ТЕХНОЛОГІЧНИХ ПРОЦЕСІВ У SCADA ЗА ДОПОМОГОЮ ТЕХНОЛОГІЇ OPEN PLATFORM COMMUNICATIONS

2020 ◽  
pp. 59-66
Author(s):  
Ігор Леонідович Левчук ◽  
Олег Петрович Мисов ◽  
Ксенія Олексіївна Фесенко ◽  
Антон Романович Шейкус
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Mathematical Models ◽  
Information Exchange ◽  
Raw Materials ◽  
Synthesis Process ◽  
Technological Processes ◽  
Open Platform ◽  
Model Control ◽  
Opc Technology

The subject of study in the article are methods for integrating mathematical models of chemical-technological processes implemented in universal modeling programs into modern SCADA systems for developing and improving methods for controlling these processes. The goal is to develop a control system for the synthesis of acetylene in a kinetic reactor, based on a computer model created in universal modeling programs and integrated into SCADA using open platform communications (OPC) technology. Tasks: to create a mathematical model of the process of synthesis of acetylene based on the selected universal modeling program; to develop a way to integrate the resulting model into modern SCADA using OPC technology; to develop in SCADA a control system for the process of synthesis of acetylene according to a mathematical model as part of a functional human-machine interface and control subsystem algorithms; get transient graphs and prove the efficiency of the control system. Conduct a process study using a mathematical model. The methods used are computer simulation of technological processes; OPC technology; SCADA based management. The following results are obtained. A control system for the acetylene synthesis process based on SCADA Trace-Mode and a mathematical model implemented in the ChemCAD package has been developed, while the model - control system information exchange is implemented based on OPC technology. Checked and proved the efficiency of the resulting control system. A mathematical study of the process was carried out, an experimental dependence of the yield of the final product, acetylene, on the temperature, and consumption of raw materials at the inlet of the reactor was established. Conclusions. The novelty of the results is as follows. A new method is proposed for integrating mathematical models implemented in the ChemCAD modeling package into modern SCADA, based on OPC technology. A study of the process of acetylene synthesis by a mathematical model was carried out, experimental dependences of the acetylene yield on temperature and ethylene consumption at the inlet of the synthesis reactor were obtained. An analysis of the obtained experimental dependences showed the need to use cascade control algorithms to increase the efficiency of controlling the process of acetylene synthesis in a kinetic reactor.

scholarly journals Model of simulation of the process of formation of functional surfaces of micro-opto-electro-mechanical systems’ components

2020 ◽  
pp. 73-82
Author(s):  
І.Ш. Невлюдов ◽  
О.О. Чала ◽  
О.І. Филипенко ◽  
І.В. Боцман
Keyword(s):  
Mathematical Model ◽  
Technological Process ◽  
Mechanical Systems ◽  
Experiment Planning ◽  
Practical Implementation ◽  
Technological Parameters ◽  
Forming Process ◽  
Technological Processes ◽  
Functional Surfaces ◽  
Functional Components

The subject of the article is to establish the relationships between the parameters of formation the functional surfaces of the substrates of micro-opto-electro-mechanical systems’ (MOEMS) components and their physical and technological parameters. Objectives: to increase the reliability and reproducibility of the received information, reduce the complexity of the technological process of forming, by modeling the dependences of the ratios of physical and technological parameters of forming the functional surfaces of the substrates of MOEMS components for the forming process. The methods are used: methods of experiment planning and computer processing of experimental data, mathematical models, digital computer modeling of technological processes. The following results were obtained: a mathematical model was proposed, which was used to model the influence of physical and technological parameters of the functional surfaces of the substrates of MOEMS components on their formation, with the receipt of prototypes. The results can be used in the development of technological processes of production, as substrates of functional components of MOEMS, and other functional elements for various technological purposes. A mathematical model is obtained, which allows predicting the degree of influence of physical and technological parameters of the technological process on the parameters of formation of functional surfaces of substrates of MOEMS components. Conclusions. The scientific novelty of the results is as follows: a mathematical model that has found practical implementation for computer digital modeling in the development of technological processes for the production of functional surfaces of substrates of MOEMS components is proposed, in which, unlike the existing ones, it is possible to predict the degree of influence of physical substrates of MOEMS components, which allows to plan the process of formation, increase the reproducibility of results and reduce the complexity of the technological process.

scholarly journals MATHEMATICAL MODELLING OF THE TECHNOLOGY OF PROCESSING THE SEED MASS OF VEGETABLES AND MELONS

2019 ◽  
Vol 13 (3) ◽  
Author(s):  
V. Shebanin ◽  
I. Atamanyuk ◽  
O. Gorbenko ◽  
Y. Kondratenko ◽  
N. Dotsenko
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Random Sequence ◽  
Experimental Studies ◽  
Seed Mass ◽  
High Accuracy ◽  
Suggested Method ◽  
Technological Processes ◽  
Seed Processing ◽  
The Mathematical Model

Designing modern seed processing machines requires a study of the regularities of technological processes, dynamics and conditions of operation. To determine the control parameters and their optimum values, it is necessary to use high-precision mathematical models of technologies of processing the vegetable and melon seed mass. A method has been suggested of modelling the technology of processing the seed mass of vegetables and melons based on nonlinear canonical decomposition of a random sequence of changes in the technological process parameters. The method of modelling the technology of processing the seed mass of vegetables and melons can be used to determine the optimum values of design and operation parameters of seed separating machines. This method allows obtaining mathematical models of technological processes for an arbitrary number of input parameters used to evaluate the characteristics of seeds, the degree of nonlinearity, and the peculiarities of stochastic connections. The method consists of the following stages: collection of statistical data; calculation parameters in the mathematical model; evaluation of the values of the parameters; calculation of the input parameters. The mathematical model of the processing technology of the seed mass of vegetables and melons does not impose any restrictions on the properties of the random sequence of input and output parameters (linearity, stationarity, monotonicity, scalarity, etc.). It allows taking into account the features of seed processing and, as a result, achieving the maximum quality of separation of vegetable and melon seeds. The method has been approved on the basis of the experimental installation of a separating machine. The results of the experimental studies have confirmed the high accuracy of the suggested method. The application of the suggested models reduces the average error of determination of seed losses. Statistic data for calculating mathematical model parameters have been obtained in the course of processing melons and cucumbers on an experimental installation. The results of the experimental studies have confirmed the high accuracy of the suggested method.

scholarly journals Mathematical model for producing machine parts

2021 ◽  
Vol 264 ◽  
pp. 04078
Author(s):  
Kamolkhon Karimov ◽  
Nodir Turakhodjaev ◽  
Azamat Akhmedov ◽  
Shukhrat Chorshanbiev
Keyword(s):  
Heat Treatment ◽  
Mathematical Model ◽  
Mathematical Models ◽  
Technological Process ◽  
Aluminum Content ◽  
Experimental Studies ◽  
Interpolation Polynomial ◽  
Electroslag Remelting ◽  
Functional Dependencies ◽  
Analytical Studies

In the article, the object of research is the development of a technology for improving the operational properties of cast parts from steel 45, obtained by the method of electroslag remelting. Based on the research results, the modes of heat treatment of the shaft-gear part in an aqueous medium water-oil, heat treatment to increase the service life of the product, and energy-saving melting technology by the method of electroslag remelting were developed. Particular attention is paid to the development and analytical implementation of the mathematical model of the developed technologies by the methods of linear algebra by drawing up the Lagrange interpolation polynomial. Functional dependencies have been obtained for determining the amount of oxygen in the melt depending on the diameter of the electrode and the aluminum content in this electrode for any diameter of the mold, the hardness of the shaft surface depending on its diameter, the oxygen content (amount) in the melt depending on the aluminum content in the electrode for different mold diameters. Based on the developed and analytically implemented mathematical models of the investigated technological process, it seems possible to simplify experimental studies. In other words, based on analytical studies, it is possible to predict the results of subsequent experiments. Based on the developed and analytically implemented mathematical models of the investigated technological process, it seems possible to simplify experimental studies. In other words, based on analytical studies, it is possible to predict the results of subsequent experiments.

Origin-Destination Matrix as a Way to Create a Basic Algorithm for Simulation a Load of Transport Network

2015 ◽  
Vol 725-726 ◽  
pp. 1218-1223
Author(s):  
Anastasiya Shevtsova ◽  
Marina Yablonovskaya ◽  
Alexey Borovskoy
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Traffic Flow ◽  
Transport Network ◽  
Traffic Flows ◽  
Basic Algorithm ◽  
Path Cost ◽  
Selection Of

Article is devoted to studying of traffic flows using the origin-destination matrix. The first paragraph of this article deals with the possibility of applying the origin-destination matrix when modeling load of transport network. The types of transportations, the factors that affect the loading of the transport network are described. The concept of a generalized path cost, interdistrict transportations and some others are considered. There are proposed several steps to create a origin-destination matrix. In the second paragraph of the paper is proposed the classification of mathematical models that can be applied in the simulation of traffic flow, as well as their features are marked. This will help in the processing of data for selection of a mathematical model that satisfies the requirements and objectives that have set themselves researchers. The conclusions on the application of mathematical models in the study of traffic flow are made.

scholarly journals MATHEMATICAL MODEL DEVELOPMENT AND CORRECTIONS IN THEOPERATION OF CNC EQUIPMENT INPUT

2017 ◽  
pp. 128-134
Author(s):  
R. Yu. Nekrasov ◽  
U. S. Putilova ◽  
A. I. Starikov ◽  
I. V. Soloviev ◽  
Yu. A. Tempel
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Model Development ◽  
Trajectory Control ◽  
Cnc Machines ◽  
Technological Processes ◽  
Accuracy Problem

The accuracy problem of engineering products on the CNC machines processing increase. The authors propose a solution to this problem by providing input of the operational adjustments of trajectory control of the machine executive bodies. The necessity of creation of mathematical models of technological processes diagnostics of the system machine - fixture - tool - workpiece.

SOME FEATURES AND FORMALIZED RELATIONS IN THE MIXED DESIGN OF TECHNOLOGICAL PROCESSES FOR THE MANUFACTURE OF MACHINE PARTS

2020 ◽  
pp. 45-49
Author(s):  
A. I. Kondakov
Keyword(s):  
Technological Process ◽  
Machine Part ◽  
Automated Design ◽  
Mixed Design ◽  
Technological Design ◽  
Technological Processes ◽  
Highly Efficient ◽  
Machine Parts ◽  
Methodological Approaches ◽  
The Creation

Modern CAPP systems do not fully meet the needs of machine part production. The main reason for this is the use methodological approaches characteristic of non-automated design in them. In particular there is the division of technological design into route and operational parts. This article proposes a proven methodology for determining the composition of technological operations, which are successively formed by the concentration of technological transitions in a single mixed technological process. It is shown that the most important procedures of this approach are the assessment of openness for processing the workpiece zones for a given installation scheme, and verification of compliance with the required dimensional relations between the elements of these zones. The implementation of this approach opens up new prospects in the creation of highly efficient CAPP systems.

scholarly journals Multiparameter mathematical models of the filtration problem of unstructured and structured fluids

2021 ◽  
Vol 264 ◽  
pp. 01030
Author(s):  
Shukur Qayumov ◽  
Arslan Mardanov ◽  
Anvar Qayumov ◽  
Tojiboy Xaitov
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Iteration Method ◽  
Numerical Solutions ◽  
Filtration Problem ◽  
Nonlinear Characteristics ◽  
Structured Fluids ◽  
Linear And Nonlinear ◽  
Number Of Iterations

The article is devoted to constructing a generalized mathematical model and the method of their solution of the process of filtration of fluids with various linear and nonlinear characteristics. The multiparameter model contains 13 mathematical models developed in due time by scientific research and included new mathematical models. The classification of these models is carried out in accordance with the laws of filtration, and they are confirmed by the results of numerical solutions. For unknown boundaries of disturbances, the application of the "shuttle" iteration method made it possible to reduce the number of iterations.

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