Mathematical model of the dynamics of porous elastoplastic media saturated with liquid upon electric discharge in warer

1997 ◽  
Vol 29 (1) ◽  
pp. 58-65 ◽  
Author(s):  
V. M. Kosenkov
Keyword(s):  
Mathematical Model ◽  
Electric Discharge ◽  
Elastoplastic Media

scholarly journals Comparative Analysis of Methods for Mathematical Modeling of Specific Electrical Conductivity of Plasma in the Channel of an Electric Discharge in Water

2021 ◽  
Vol 57 (4) ◽  
pp. 24-34
Author(s):  
V.M. Kosenkov ◽  
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Mathematical Model ◽  
Electrical Conductivity ◽  
Comparative Analysis ◽  
Electric Discharge ◽  
Specific Electrical Conductivity ◽  
Empirical Function ◽  
Electric Discharge In Water

In the present work, a comparative analysis of three methods for determining the specific electrical conductivity of the plasma formed in the channel of an electric discharge in water is carried out for its mathematical modeling. The parameters of the empirical function are determined, at which the results of mathematical modeling are consistent with the experimental data. The necessity of using empirical functions in calculating the specific electrical conductivity of plasma has been substantiated. The obtained ratios made it possible to significantly increase the adequacy of the previously developed mathematical model of the physical discharge processes in water and to expand the range of parameters in which it can be used.

scholarly journals Mathematical Modelling of Electric Discharge Machining of Al (6351)-SiC-B4C Hybrid Composite

2020 ◽  
Vol 8 (4S4) ◽  
pp. 163-166
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Surface Roughness ◽  
Mathematical Modelling ◽  
Electric Discharge ◽  
Electrode Wear ◽  
Electric Discharge Machining ◽  
Pulse On Time ◽  
The Mathematical Model ◽  
Time Pulse

The Electric Discharge Machining (EDM) has emerged as one of the major machining method for the machining of hard-to- machine materials and composites. This paper aims at creating a mathematical model for the machining of the Al(6351)-SiC-B4C composites based on the experimental data and compare the same to identify the level of errors between the mathematical model and the experimental results. This paper was aimed as an attempt to develop a mathematical model for the output parameters viz. Electrode Wear ratio and Surface roughness based on the input parameters viz. current, pulse-on-time, pulse duty-factor and gap voltage.

Modeling the tool wear rate in powder mixed electro-discharge machining of titanium alloys using dimensional analysis of cryogenically treated electrodes and workpiece

2016 ◽  
Vol 231 (2) ◽  
pp. 271-282 ◽  
Author(s):  
Sanjeev Kumar ◽  
Rupinder Singh ◽  
Ajay Batish ◽  
TP Singh
Keyword(s):  
Mathematical Model ◽  
Wear Rate ◽  
Tool Wear ◽  
Titanium Alloys ◽  
Dimensional Analysis ◽  
Electric Discharge ◽  
Cryogenic Treatment ◽  
Tool Wear Rate ◽  
Electric Discharge Machining ◽  
X Ray

Three grades of titanium alloy TITAN 15, TITAN 21, and TITAN 31 were machined using powder mixed electric discharge machining to study the effect of cryogenic treatment and its effect on tool wear rate (TWR). Thereafter, an attempt has been made to develop a mathematical model for predicting TWR using dimensional analysis using the outcome of the Taguchi model and thermo-physical properties of tool materials. The model shows the significant role of thermal conductivity on TWR in electric discharge machining of titanium alloys. The predicted values from the developed mathematical model were validated and were found to be in good agreement with the experimental results. Microscopic investigations on selected tool samples were performed using scanning electron microscope, energy-dispersive X-ray spectrometer, and X-ray diffraction. The results showed transfer of material on the tool surface from the workpiece, dielectric, and the powder.

scholarly journals DEVELOPMENT OF A MATHEMATICAL MODEL OF THE PROCESS OF PURIFICATION OF WATER SOURCES ON THE BASIS OF ELECTRIC DISCHARGE INSTALLATION

2021 ◽  
pp. 45-47
Author(s):  
N. V. Avdeev ◽  
S. I. Sakerin ◽  
A. S. Shatilov ◽  
E. G. Krylov
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Electric Discharge ◽  
Water Source ◽  
Water Sources ◽  
Purification Process ◽  
Simulation Results ◽  
Purification Of Water

The developed mathematical model of the water source purification process based on an electric discharge installation is presented. In the course of the work, experimental data and simulation results were compared. The discrepancy between the obtained data was no more than 6 %.

Simulation of Complex Curved Surface WEDM System Based on OpenGL

2007 ◽  
Vol 10-12 ◽  
pp. 364-368 ◽  
Author(s):  
Tong Wang ◽  
Zhang Kun Hu
Keyword(s):  
Mathematical Model ◽  
Electric Discharge ◽  
Three Dimensional ◽  
Simulation Method ◽  
Curved Surface ◽  
Polar Coordinates ◽  
Curved Surfaces ◽  
Electric Discharge Machining ◽  
Machining Quality ◽  
Dimensional Graph

This paper introduces the characteristics and general laws of cutting complex curved surface by Wire-cut Electric Discharge Machining (WEDM) system. Taking the three-axle and double-rotating linkage system as an example, the universal mathematical model of polar coordinates is derived. Moreover, the simulation of WEDM system is introduced, which utilizing language Visual C++ and the three dimensional graph software OpenGL.This simulation method is helpful in improving machining quality and productivity of complex curved surfaces, and is fundation for establishing CAD/CAPP/CAM technology in WEDM.

A Mathematical Model for Wire Cut Electrical Discharge Machine Parameters Using Artificial Neural Network

2014 ◽  
Vol 984-985 ◽  
pp. 9-14
Author(s):  
G. Sankara Narayanan ◽  
Durairaj Vasudevan
Keyword(s):  
Neural Network ◽  
Mathematical Model ◽  
Artificial Neural Network ◽  
Process Parameters ◽  
Electric Discharge ◽  
Electrical Discharge Machine ◽  
Machining Process ◽  
Electric Discharge Machine ◽  
Discharge Machine ◽  
Artificial Neural

Unconventional machining process finds heavy application in aerospace, automobile and in production industries where accuracy is most needed. This process is chosen over other traditional methods because of the advent of composite and high strength materials, multifaceted parts and also because of its elevated precision. Regularly in unconventional machines, trial and error method is used to fix the values of process parameters. An algorithm incorporating Artificial Neural Network (ANN) is proposed to create mathematical model functionally relating process parameters and operating parameters of a wire cut electric discharge machine (WEDM) and copper is the work piece. This is accomplished by training a learning algorithm of feed forward neural network with back propagation. The required data used for training and testing the ANN is obtained by conducting trial runs in wire cut electric discharge machine. Proposed algorithm paves reduction in time for fixing the values for the process parameters and thus reduces the production time along with reduction in cost of machining processes and thereby increases the production as well as the efficiency. The programs for training and testing the neural network are developed, using matlab 7.0.1 package.

scholarly journals Influence of Vapor-Gas Cavity on Pressure Field in Closed Discharge Chamber with Rigid Walls

2021 ◽  
Vol 57 (3) ◽  
pp. 102-116
Author(s):  
V. Kosenkov ◽  
Keyword(s):  
Mathematical Model ◽  
Electric Discharge ◽  
Moving Boundary ◽  
Discharge Chamber ◽  
Pressure Field ◽  
Pressure Fluctuations ◽  
Great Influence ◽  
Alloy Plate ◽  
Gas Cavity ◽  
Rigid Walls

The pressure field in discharge chambers of a limited volume with deformable walls very often has a great influence on the efficiency of technological processes of deformation of sheet alloys; therefore, its determination is an urgent task. As a result of an electric discharge in the liquid filling the discharge chamber, in it, a cavity with a higher compressibility is formed than the liquid in the chamber. At the stage of the discharge, this cavity is filled with non-ideal plasma, and after the discharge, with liquid vapor and gases dissolved in it (vapor-gas cavity). Its pulsations form a pressure field in the discharge chamber. The moving boundary of the vapor-gas cavity creates great problems in calculating the pressure field in a liquid, especially after a large number of its pulsations. At present, the role of the vapor-gas cavity in the formation of the pressure field in the discharge chamber with a deformable wall, which is a sheet alloy plate, is insufficiently studied. Its definition is the purpose of this work. The study was carried out on the base of a previously developed mathematical model of an electric discharge in water, which in this work is supplemented with relations that significantly increase the accuracy of calculating the resistance of the discharge channel and the energy released in it. It was determined that the pulsations of the vapor-gas cavity provide pressure fluctuations in it in an antiphase with the average pressure in the liquid. In a discharge chamber with rigid walls, they decay slowly, but the presence of a deformable wall leads to a rapid decay of pressure fluctuations. In the previously developed mathematical model, the change in the optical transparency of the plasma was taken into account, and its significant effect on the pressure in the cavity and the pressure field in the liquid was determined.

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