МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ ПРОЦЕССА ФОРМООБРАЗОВАНИЯ ШАРОВИДНЫХ ДЕТАЛЕЙ ИЗ ЗАГОТОВОК КУБИЧЕСКОЙ ФОРМЫ

The paper contains mathematical description of regularities pertaining to movement of a workpiece having a cubic form in the operational zone of a device for pneumatic centrifugal machining of ball-shaped parts made of brittle materials. An analytical expression that describes a law of variations in cube volume while it is turning into a ball has been obtained in the paper. The paper proposes a methodology for intensity calculation pertaining to stock removal from the cubic workpiece while forming a ball at various stages of ball burnishingВыполнено математическое описание закономерностей движения заготовки кубической формы в рабочей зоне устройства для пневмоцентробежной обработки шаровидных деталей из хрупких материалов. Получено аналитическое выражение, описывающее закон изменения объема куба при его превращении в шар. Предложена методика расчета интенсивности съема припуска с кубической заготовки в процессе формообразования шара на различных стадиях галтовки

MATHEMATICAL SIMULATION OF PROCESS ON FORMATION OF BALL-SHAPED PARTS MADE OF CUBIC WORPIECES

The paper contains mathematical description of regularities pertaining to movement of a workpiece having a cubic form in the operational zone of a device for pneumatic centrifugal machining of ball-shaped parts made of brittle materials. An analytical expression that describes a law of variations in cube volume while it is turning into a ball has been obtained in the paper. The paper proposes a methodology for intensity calculation pertaining to stock removal from the cubic workpiece while forming a ball at various stages of ball burnishin