Abstract

The article presents the probabilistic-statistical modeling of surface roughness in the process of electric discharge grinding with the variable polarity of electrodes. The correlation between electric modes of machining and indicators of the quality of the machined surface was established. A probabilistic-statistical model of part surface roughness formed during grinding is obtained, which establishes the correlation between high-altitude surface parameters and electrical machining modes. The developed model makes it possible to calculate the height parameters of the part roughness depending on the electrical modes of grinding. The height of microroughness is determined by the same machining conditions as the depth of erosion pits. It is possible to obtain low roughness if electrical machining modes are reduced.

Highlights

  • The process of electrical discharge grinding with the variable electrode polarity allows obtaining the required qualitative and quantitative parameters with a significant reduction in the specific consumption of the diamond wheel and the costs of various types of energy [1, 2]

  • Where rmax is the largest value of the arc radius; bmax is the largest value of the distance between the X axis and the center of the larger arc of all realizations; cmin is the smallest value of the distance between the intersection point of the arcs and the X axis of all realizations

  • Given (8) and (6), expression (7) can be represented as Solving this equation, we find the dependence of the arc radius r on the depth of the pit hл:

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Summary

Introduction

The process of electrical discharge grinding with the variable electrode polarity allows obtaining the required qualitative and quantitative parameters with a significant reduction in the specific consumption of the diamond wheel and the costs of various types of energy [1, 2]. The process of interaction between the cutting tool and the surface of the machined material under conditions of electrical discharge grinding with the variable polarity of electrodes has not been studied. The interaction of the diamond wheel with the surface of the machined material during electrical discharge grinding is a complex electrophysical system [3,4]. To determine the surface roughness, probabilistic-statistical modeling was performed.

Results
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