scholarly journals Features of using linear graphs in developing mathematical model of metal melting process in induction crucible furnace

2021 ◽  
Vol 289 ◽  
pp. 07002
Author(s):  
Abror Pulatov ◽  
Jamol Bekmuradov ◽  
Odiljon Zaripov
Keyword(s):  
Mathematical Model ◽  
Graph Model ◽  
Melting Process ◽  
Thermal Mode ◽  
Excess Temperature ◽  
Mode Of Operation ◽  
Crucible Furnace ◽  
Linear Graphs ◽  
And Control ◽  
Metal Melting

The use of linear graphs in the development of a mathematical model of metal melting in an induction crucible furnace allows to determine the metal melting temperature and control the excess temperature in the main parts of the furnace. In addition, if it is necessary to optimize the thermal mode of operation of the furnace according to the presented graph conversion method, a graph model of any part of the furnace with the desired thermal parameters can be obtained.

NGV. Using to be Alternative Energy in Metal Melting

2013 ◽  
Vol 365-366 ◽  
pp. 1118-1121
Author(s):  
S. Prasertsook ◽  
P. Saranan ◽  
N. Udomsree ◽  
N. Sukachart
Keyword(s):  
Fuel Consumption ◽  
Melting Temperature ◽  
Alternative Energy ◽  
Melting Process ◽  
Melting Time ◽  
Crucible Furnace ◽  
Metal Melting

This research used 20 kilograms crucible furnace to be experiment furnace. The furnace used NGV. to be fuel for aluminum melting while melting process melting time, melting temperature, pouring time and fuel consumption were recorded. The fuel consumption comparison between NGV. With LPG are one kilogram of aluminum used 0.35 kilogram of NGV or 3.92 Thai bath/kilogram (NGV .price 11 bath/kilogram) and one kilogram of aluminum used 0.25 kilogram of LPG or 4.53 Thai bath/kilograms (LPG.price 17.93Thai baht/kilogram)

A prey–predator model and control of a nematodes pest using control in banana: Mathematical modeling and qualitative analysis

2021 ◽  
pp. 2150089
Author(s):  
Sudhakar Yadav ◽  
Vivek Kumar
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Local Stability ◽  
Detection Method ◽  
Initial Release ◽  
Pest Detection ◽  
Predator Model ◽  
And Control ◽  
The Mathematical Model ◽  
Theoretical Results

This study develops a mathematical model for describing the dynamics of the banana-nematodes and its pest detection method to help banana farmers. Two criteria: the mathematical model and the type of nematodes pest control system are discussed. The sensitivity analysis, local stability, global stability, and the dynamic behavior of the mathematical model are performed. Further, we also develop and discuss the optimal control mathematical model. This mathematical model represents various modes of management, including the initial release of infected predators as well as the destroying of nematodes. The theoretical results are shown and verified by numerical simulations.

scholarly journals Matrix-graph model of the polymer materials destruction process

2018 ◽  
Vol 80 (3) ◽  
pp. 50-55
Author(s):  
A. A. Khvostov ◽  
S. G. Tikhomirov ◽  
I. A. Khaustov ◽  
A. A. Zhuravlev ◽  
A. V. Karmanov
Keyword(s):  
Mathematical Model ◽  
Molecular Weight ◽  
Molecular Weight Distribution ◽  
Weight Distribution ◽  
Graph Model ◽  
Polymer Materials ◽  
Simulation Environment ◽  
Destruction Process ◽  
Molecular Weights ◽  
The Mathematical Model

The paper deals with the problem of mathematical modeling of the process of thermochemical destruction using the theory of graphs. To synthesize a mathematical model, the Markov chain is used. For the formalization of the model a matrix-graph method of coding is used. It is proposed to consider the process of destruction as a random process, under which the state of the system changes, characterized by the proportion of macromolecules in each fraction of the molecular mass distribution. The intensities of transitions from state to state characterize the corresponding rates of destruction processes for each fraction of the molecular weight distribution (MWD). The processes of crosslinking and polymerization in this work have been neglected, and it is accepted that there is a probability of transition from any state with a lower order index (corresponding to fractions with higher molecular weights) to any state with a higher index (corresponding fractions with lower molecular weights). A computational formula is presented for estimating the number of arcs and model parameters from a given number of fractions of the molecular weight distribution of the polymer. An example of coding in a matrix form of a graph model of the process of degradation of polybutadiene in solution for the case of six fractions of the molecular weight distribution is shown. As the simulation environment, the interactive graphical simulation environment of MathWorks Simulink is used. To evaluate the parameters of the mathematical model, experimental studies of the degradation of polybutadiene in solution were carried out. The chromatography of the polybutadiene solution was used as the initial data for the estimation of the MWD polymer. The considered matrix-graph representation of the structure of the mathematical model of the polymer destruction process makes it possible to simplify the compilation of the model and its software implementation in the case of a large number of vertices of the graph describing the process of destruction

Mathematical Model and Control System for a Linear DC Motor

2021 ◽  
Author(s):  
Ivan Yu. Spitsyn ◽  
Aleksandr M. Sinitca ◽  
Vjacheslav V. Gulvanskii ◽  
Dmitrij A. Perevertailo ◽  
Aleksej V. Volkov
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Dc Motor ◽  
Linear Dc Motor ◽  
And Control

scholarly journals A Mathematical Model for Locating the Medical and Emergency Centers considering the Failure Probability of Centers

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Alireza Mosayebi ◽  
Barat Mojaradi ◽  
Ali Bonyadi Naeini ◽  
Seyed Hamid Khodadad Hosseini
Keyword(s):  
Mathematical Model ◽  
Strategic Planning ◽  
Failure Probability ◽  
Health Sector ◽  
Chemical Production ◽  
Coverage Level ◽  
Performance Accuracy ◽  
Proposed Model ◽  
Reducing Costs ◽  
And Control

Enhancing the amount of industrial and chemical production is one of the most important effects of increasing rural people’s migration to cities, which leads to many abnormalities in the healthcare domain. In this regard, one of the most important tasks of health sector managers is designing and implementing some programs to monitor and control the level of community health, which is one of the health organizations’ strategic planning. On the other hand, the location of service centers is one of the most important problems in the area of strategic planning by any organization because selecting an appropriate site for constructing facilities can have a significant effect on reducing costs and increasing the coverage level. However, an appropriate site to construct the facilities must also have maximum reliability in addition to reducing costs and increasing the coverage level. This problem is important because many factors, such as natural disasters, result in failure of centers and influence the confidence level of system performance. Therefore, it is necessary to consider maximizing reliability in locating centers. For this purpose, an integer mathematical model is presented in this paper to select the optimum site for constructing the medical and emergency centers by considering the failure probability of each center. The research model’s objective function minimizes the system costs, including the costs of construction, patient transfer, and failure of medical and emergency centers. Finally, a numerical example is designed and reviewed by real-world problems to ensure the performance accuracy of the proposed model.

Geometrical Errors of Surfaces Milled with Convex and Concave Profile Tools

2018 ◽  
Vol 284 ◽  
pp. 281-288 ◽  
Author(s):  
Anatoly A. Fomin ◽  
V.G. Gusev ◽  
Zulfiya G. Sattarova
Keyword(s):  
Mathematical Model ◽  
Experimental Research ◽  
Transverse Plane ◽  
Geometrical Interpretation ◽  
Geometric Errors ◽  
Technological Operation ◽  
Geometric Accuracy ◽  
Labor Costs ◽  
Its Analysis ◽  
And Control

The geometrical interpretation of the transformation of cylindrical milling of products into profile milling by shaping cutters with a convex and concave cutting profile is considered. A mathematical model of geometric errors of profile surfaces processed with tools with the specified cutting profiles is developed. On the basis of the model and the results of its analysis, scientifically based recommendations for designing a technological operation for profile milling of products have been developed. When processing a product with a contoured cutter with a concave profile, it is recommended to calculate the geometric errors formed in the transverse plane of the shaping cutter, and when machining with a shaping cutter with a convex cutting profile - in the planes of both its ends. The calculated values of the above geometric errors should be compared with the values limited by the work drawing of the product. The implementation of these recommendations will reduce the labor costs for experimental research and control operations associated with ensuring a given geometric accuracy of products.

scholarly journals The Non-Stationary Thermal Mode for Barrier Building Constructions in Non-Symmetric Boundary Conditions

2018 ◽  
Vol 7 (3.2) ◽  
pp. 535
Author(s):  
Olena Borshch ◽  
Volodymyr Borshch ◽  
Dmytro Guzyk
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Mathematical Model ◽  
Boundary Conditions ◽  
Thermal Diffusion ◽  
Thermal State ◽  
Thermal Mode ◽  
Temperature Mode ◽  
Deep Layers

In barrier building constructions the heat transfer occurs both at the expense of thermal conductivity and as a result of liquid and air vapors resistance. The mechanism of such resistance differs from classical processes of diffusion and the laws of hydrodynamics for integral medium.The temperature mode of the surface and deep layers of barrier building constructions in non-symmetric boundary conditions was     analyzed. A mathematical model was developed that characterizes the change in the thermal state of barrier constructions during thermal diffusion. The method for calculating the non-stationary thermal modes of flat walls was presented.  

scholarly journals Novel Solution for Leg Motion with 5-Link Belt Mechanism

2014 ◽  
Vol 19 (4) ◽  
pp. 699-708 ◽  
Author(s):  
Lovasz E.Ch. ◽  
Pop C. ◽  
Pop F. ◽  
Dolga V.
Keyword(s):  
Mathematical Model ◽  
Step Height ◽  
Crossing Over ◽  
The Novel ◽  
Leg Motion ◽  
Walking Mechanism ◽  
And Control

Abstract From the analysis of Theo Jansen walking mechanism and of the path curve that it describes the reduced capability for crossing over obstacles of the Jansen leg (1 DOF) is pointed out. By using a 5 link belt mechanism with 2 DOF can be adapted for generating similar Jansen mechanism path curve, where the step height of this path can be increased. For this purpose a mathematical model is conceived in order to analyse and determine the parameters for driving and control of the operation of the novel walking leg solution.

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