scholarly journals Mathematical Modelling of Oscillatory Processes in Transmission of Movement of an Electric Drive with Non-Linear Long Elastic Elements

2021 ◽  
Vol 23 (2) ◽  
pp. C54-C64
Author(s):  
Andriy Chaban ◽  
Tomasz Perzyński
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Mathematical Modelling ◽  
Electric Drive ◽  
Linear Relation ◽  
Electric Drive System ◽  
Non Linear ◽  
Strength And Deformation ◽  
Elastic Elements ◽  
Oscillatory Processes

Mathematical model of transmission of movement of an electric drive system that includes long elastic elements, including the non-linear relation between tensors of strength and deformation is presented in this article. Mentioned type of transmission is applied in the tasks related to special-purpose transport. A method that is based on integral modification of variational HamiltonOstrogradsky principle was applied for the presented model. Results of the computer simulation of oscillatory processes in transmission of movement of an electromechanical system are presented in the article.

scholarly journals Some Remarks on Modelling and Simulation of Physical Phenomena

1997 ◽  
Vol 28 (3-4) ◽  
pp. 151-165 ◽  
Author(s):  
H. J. Bunge
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Mathematical Modelling ◽  
Modelling And Simulation ◽  
Theoretical Physics ◽  
Texture Formation ◽  
First Case ◽  
Non Linear ◽  
Non Linear Operator ◽  
Physical Phenomena

Mathematical modelling and computer simulation of physical phenomena is a rapidly growing field of work in all areas of pure and applied sciences. In principle, mathematical modelling of physical phenomena has been the field of theoretical physics from the very beginning of physics although the computer has increased the potentials of this method by many orders of magnitude. Modelling and simulation are often used as synonyms. It may, however, be meaningfull to distinguish the development of a mathematical model from its use in computer simulation. Also, a mathematical model in this sense must be distinguished from mathematical expressions interpolating experimental data. In the field of textures, models of texture formation, models of materials properties, as well as the combination of the two are being used. In this connection it is important whether a texture formation model is linear or non-linear. In the first case the texture formation operator can be reduced to the orientation space whereas a non-linear operator operates in the full texture space.

scholarly journals Mathematical modelling of biosensors with substrate and product degeneration

2012 ◽  
Vol 53 ◽  
Author(s):  
Liana Stonkienė ◽  
Feliksas Ivanauskas
Keyword(s):  
Mathematical Model ◽  
Mathematical Modelling ◽  
Linear Term ◽  
Diffusion Equations ◽  
Enzymatic Reactions ◽  
Amperometric Biosensors ◽  
One Dimensional ◽  
Non Linear ◽  
Kinetics Of

This paper presents a one-dimensional-in-space mathematical model of the amperometric biosensors with substrate and product degeneration. The model is based on diffusion equations containing a non-linear term related to Michaelis-Menten kinetics of the enzymatic reactions. It was analyzed effect of substrate and product degeneration for the biosensors response.

Aspects of Mathematical Modelling of Heat and Mass Exchange at Burning of Droplet of Water Fuel Oil Emulsion

2013 ◽  
Vol 371 ◽  
pp. 642-646 ◽  
Author(s):  
Ştefania Roxana Buzdugă ◽  
Tudor Sajin
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Mathematical Modelling ◽  
Mass Exchange ◽  
Fuel Oil ◽  
Gas Cell ◽  
Heat And Mass Exchange ◽  
Conservation Of Energy ◽  
Oil Emulsion ◽  
Thermo Physical Properties

This paper presents some aspects regarding modelling of heat and mass exchange at burning of droplet of water-oil emulsion (WOE). Based on nonstationary differential equations of conservation of energy and matter in the liquid and gaseous phases, it was formulated a physical and mathematical model of heat and mass exchange in system of WOE drop-elementary gas cell. Unlike other models, in this model is taken into account the dependence of thermo physical properties of phase by temperature. The heating, micro explosion, vaporization and combustion stages of droplet burning were considered. For numerical solution and computer simulation of mathematical model has been developed an algorithm in Mathcad14 software. The numerical results were validated experimentally.

scholarly journals On the solution of the problem of synthesis of the control system for the process of dosed feed of electrode wire for arc welding equipment

2021 ◽  
pp. 20-26
Author(s):  
V.A. Lebedev
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Differential Equations ◽  
Electric Drive ◽  
Electric Motor ◽  
Mathematical Description ◽  
Operational Calculus ◽  
Feedback Circuit ◽  
Electric Drive System ◽  
Electrode Wire

Goal. Refinement of the methodology for the development of an effective control system for an electric drive with controlled relay-type regulators for organizing a metered feed of an electrode wire using the parameters of the arc process with the possibility of using it in design practice and practice of technological application. Methodology. The proposed method for the mathematical description (mathematical model) of the system of the developed structure electric drive - arc process with current feedback of welding with a variable structure device is based on the theory of automatic control as applied to nonlinear elements, the application of the theory of operational calculus. At the same time, a selection and description of a nonlinear node in the feedback circuit in the form of a relay element with a certain structure and subsequent linearization of this element was made. As an electric motor of the electrode wire feeder, a new development of a specialized valve electric motor is used, which is used in the system with a microprocessor controller. Results. Due to the presence of a substantially nonlinear link, the calculation of the valve electric drive system – the arc process can be found on the basis of a system of nonlinear differential equations, which is practically impossible for practical application. In this work, these complications are overcome on the basis of a rational choice of the description of the nonlinear link, its harmonic linearization and obtaining on this basis a mathematical description of the system, from which, using the methodology of operational calculus, the relations necessary for calculating the parameters of the system are determined in analytical form. Originality. The problem of calculating a rather complex problem of mathematical description of the valve electric drive system – a technological link in the form of an arc process with a substantially nonlinear link in the feedback circuit in the work is solved with the effective use of a set of methodological methods, which include as a means of representing individual links, including nonlinear links selected simplifications and solutions of the obtained differential equations using original methods of operational calculus. The proposed method (mathematical model) is tested in two directions – oscillography of a real system, as well as system simulation. Practical significance. Using the developed methods for describing the control system, it is possible to calculate its characteristics and, on their basis, select the parameters for setting the electric drive controller, which allows, without additional experimental research, to obtain the necessary character of the transfer of electrode metal, and, consequently, the quality of the result of the arc process.

Realization of Controllers for DC and Vector Controlled Induction Motors

1997 ◽  
Author(s):  
Farouk Ismail ◽  
Hisham El Khashab ◽  
Osama Mahgoub ◽  
Ahmed Oshiba
Keyword(s):  
Computer Simulation ◽  
Electric Drive ◽  
Software Package ◽  
Induction Motors ◽  
Sensitivity Study ◽  
Pid Controllers ◽  
Experimental Realization ◽  
Electric Drive System ◽  
Drive Systems ◽  
Two Machines

Abstract Controller constants play an important role in electric drive system dynamics. The vector control permits to consider the induction motor as an equivalent separately excited DC machine, as a result, the dynamics of the two machines are compared. Experimental realization and computer simulation are constructed under PI and PID controllers. A sensitivity study for the controllers constants and for the machines time constant is carried out and demonstrated for both machines under the same conditions. The computer simulation of the electric drive systems is constructed using the MATLAB-SIMULINK software package.

MODERNIZATION AND STUDY OF THE DRIVE SYSTEM OF A MACHINING CENTER WITH COMPUTER NUMERICAL CONTROL

2020 ◽  
Vol 70 (1) ◽  
Author(s):  
Marin Zhilevski ◽  
Mikho Mikhov
Keyword(s):  
Computer Simulation ◽  
Electric Drive ◽  
Machine Tools ◽  
Computer Numerical Control ◽  
Drive System ◽  
Numerical Control ◽  
Tabular Form ◽  
Machining Center ◽  
Electric Drive System ◽  
Selection Of

A generalized algorithm for selection of the electric drive system for a class of machining centers with computer numerical control is presented in this paper. The successive steps for the calculation of feed and spindle drives in scraping operations are shown in tabular form. The electric drive system for the considered class of ma-chines has been studied through computer simulation and on the basis of practical implementations with developed ladder diagrams. Research carried out and the results obtained can be used in the modernization of such type of machine tools.

scholarly journals Epidemic Analysis and Mathematical Modelling of H1N1 (A) with Vaccination

2016 ◽  
Author(s):  
Jagan Mohan Jonnalagadda ◽  
Kartheek Gaddam
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Mathematical Modelling ◽  
Dynamic Analysis ◽  
Basic Reproduction Number ◽  
Reproduction Number ◽  
Endemic Equilibrium ◽  
Rate Coefficients ◽  
Disease Free ◽  
The Basic Reproduction Number

This article investigates a proposed new mathematical model that considers the infected individuals using various rate coefficients such as transmission, progression, recovery and vaccination. The fact that the dynamic analysis is completely determined by the basic reproduction number is established. More specifically, local and global stabilities of the disease-free equilibrium and the endemic equilibrium are proved under certain parameter conditions when the basic reproduction number is below or above unity. A realistic computer simulation is performed for better understanding of the variations in trends of different compartments after the outbreak of the disease.

Imprecision of Laboratory Determinations and Diagnostic Accuracy: Theoretical Considerations

1974 ◽  
Vol 13 (03) ◽  
pp. 151-158 ◽  
Author(s):  
D. A. B. Lindbebo ◽  
Fr. R. Watson
Keyword(s):  
Mathematical Model ◽  
Diagnostic Accuracy ◽  
Diagnostic Process ◽  
Clinical Laboratories ◽  
Non Linear ◽  
Theoretical Considerations ◽  
Made In

Recent studies suggest the determinations of clinical laboratories must be made more precise than at present. This paper presents a means of examining benefits of improvement in precision. To do this we use a mathematical model of the effect upon the diagnostic process of imprecision in measurements and the influence upon these two of Importance of Diagnosis and Prevalence of Disease. The interaction of these effects is grossly non-linear. There is therefore no proper intuitive answer to questions involving these matters. The effects can always, however, be calculated.Including a great many assumptions the modeling suggests that improvements in precision of any determination ought probably to be made in hospital rather than screening laboratories, unless Importance of Diagnosis is extremely high.

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