Modeling of Electrochemical Copying in a Finite-Width Cell
- 9 Downloads
The problem of modeling of electrochemical machining is reduced to the solution of the Schwartz problem on a parametrical rectangle with the use of theta-functions. Various conditions (non-equipotentiality of electrodes and inconstancy of current efficiency) at the boundary of a processed surface are considered. Nonstationary, quasistationary, stationary, and limit solutions are studied. Results of machining of surfaces by tool electrodes of various shapes are given. It is shown that machining mode parameters significantly affect the dissolved layer size necessary for obtaining high-precision copying.
KeywordsHele-Shaw problem nonstationarity quasistationary solution complex variables copying accuracy
Unable to display preview. Download preview PDF.
- 2.A. Kh. Karimov, V. V. Klokov, and E. I. Filatov, Calculation Methods for Electrochemical Shaping (Izd. Kazan. Univ., Kazan, 1990) [in Russian].Google Scholar
- 3.L. M. Kotlyar and N. M. Minazetdinov, Simulation of Electrochemical Machining of Metal for Technological Preparation of Production on CNC Machines (Academia, Moscow, 2005) [in Russian].Google Scholar
- 4.V. P. Zhitnikov and A. N. Zaitsev, Pulsed Electrochemical Dimensional Machining (Mashinostroenie, Moscow, 2007) [in Russian].Google Scholar
- 9.A. G. Terentyev, “Linear Theory of Cavitation Flow around Obstacles,” in Issues in Applied Mathematics and Mechanics, Vol. 1 (Ulianov Chuvash State Univ., Cheboksary, 1971) [in Russian].Google Scholar
- 11.P. Ya. Polubarinova-Kochina, “Nonstationary Motion in the Filtering Theory,” Prikl. Mat. Mekh. 9, 79–90 (1945).Google Scholar
- 13.V. P. Zhitnikov and N. M. Sherykhalina, “Application of Multiple Filtering in Numerical Solution of Problems by the Complex Variable Function Method,” Vychisl. Tekhnol. 18 (1), 15–24 (2013).Google Scholar
- 16.E. P. Gazizov and D. V. Maklakov, “Anode Shaping by a Dihedral Cathode in Irregular Anode Polarization,” Izv. Vyssh. Ucheb. Zaved., Aviats. Tekh., No. 4, 55–57 (2002).Google Scholar