Comparison of Quasi-Stationary and Non-Stationary Solutions of Electrochemical Machining Problems Applying to Precision Cutting with Plate Electrode-Tool
DOI:
https://doi.org/10.14529/mmp190101Ключевые слова:
электрохимическое формообразование, ступенчатая функция, квазистационарная модель, оценка погрешности.Аннотация
Сформулирована квазистационарная задача для моделирования процесса электрохимической резки пластинчатым электродом-инструментом. Постановка задачи основана на использовании ступенчатой функции выхода по току от плотности тока. При этом на обрабатываемой поверхности образуются три зоны с различными условиями. В области высоких плотностей тока используется обычное условие стационарности. В области малых плотностей тока растворение отсутствует и сохраняется начальная форма границ. В промежуточной зоне плотность тока в каждой точке равна критическому значению. Наличие краевых условий на каждом участке обрабатываемой поверхности позволяет сформулировать краевую задачу для аналитической функции комплексного переменного и найти форму границы в любой момент времени, независимо от предыстории. Проведено сравнение решений квазистационарной и нестационарной задач, и найден диапазон существования квазистационарного решения.Библиографические ссылки
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