×

Quasi-stationary solution of a problem of electrochemical copying of a cogged surface. (English. Russian original) Zbl 1375.78032

Russ. Math. 61, No. 8, 76-80 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. No. 8, 86-91 (2017).
Summary: We solve a problem of non-stationary electrochemical machining by an electrode-tool with a cogged form. For simulation of the process of anode dissolution we use a step-function for the current efficiency. We find an exact (i.e., expressed in quadratures) solution to the problem and obtain numerical results allowing to define the shape of the processed surface in various moments of time.

MSC:

78A57 Electrochemistry
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Klokov, V. V. Electrochemical Shaping (Kazan Univ., Kazan, 1984) [in Russian]. · Zbl 0541.31004
[2] Zhitnikov, V. P., Oshmarina, E. M., Fyodorova, G. I. “The Use of Discontinuous Functions for Modeling the Dissolution Process of Steady-State Electrochemical Shaping”, Russian Mathematics 54, No. 10, 67-70 (2010). · Zbl 1205.78054
[3] Zhitnikov, V. P., Oshmarina, E. M., Fedorova, G. I. “Exact Solutions of Two Limiting Quasistationary Electrochemical Shaping Problems”, RussianMathematics 55, No. 12, 16-22 (2011). · Zbl 1365.78010
[4] Zhitnikov, V. P., Zaitsev, A. N. Impulse Electrochemical Shape Processing (Mashinostroenie, Moscow, 2007) [in Russian].
[5] Muksimova, R. R., Zhitnikov, V. P., Sherykhalina, N.M., Zaripov, A. A. “Modeling of Stationary and Limiting Electrochemical Shaping in a Cell of Finite Width”, Vestnik St.-Petersburg State Civil Aviation Univ. 4, No. 13, 117-128 (2016) [in Russian].
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.