Modeling of electrochemical micromachining of cylindrical hole surface by eccentric cathodeстатьяИсследовательская статья
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Дата последнего поиска статьи во внешних источниках: 1 мая 2024 г.
Аннотация:Electrochemical machining (ECM) of the inner surface of cylindrical workpiece (WP) with an eccentric rotating cylindertool-electrode (TE) is studied theoretically using a new mathematical model. The proposed model uses a moving coordinatesystem bound to the rotating WP. In this case, only the variation in the position of TE center during its orbital movementis taken into account. In addition, for convenient solution and analysis of results, the mathematical model was presented inthe dimensionless form in order to reduce the number of parameters. The local one-dimensional approximation is used tocalculate the distribution of the current density. It enables determining the distribution of the current density not from thesolution of Laplace’s equation, but using a simple analytical equation. Three dimensionless parameters are proposed to characterizethe properties of the workpiece material, the electrolyte solution and working conditions, and also the dimensionsof the electrodes and the rate of their relative motion. These parameters are used in the numerical solution and analysis ofthe results. The obtained relationship between the accuracy and productivity of ECM with an eccentric rotating TE can beused to optimize the process. The error in the shape of workpiece surface is analyzed within the proposed model. The relationbetween the error of machining and the minimum interelectrode gap is revealed. A two-stage ECM scheme is proposedto reduce the shape error.