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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2017, Volume 10, Issue 4, Pages 15–25
DOI: https://doi.org/10.14529/mmp170402
(Mi vyuru398)
 

This article is cited in 2 scientific papers (total in 2 papers)

Mathematical Modelling

Stationary electrochemical machining simulation applying to precision technologies

V. P. Zhitnikov, N. M. Sherykhalina, S. S. Porechny

Ufa State Aviation Technical University, Ufa, Russian Federation
Full-text PDF (574 kB) Citations (2)
References:
Abstract: The modification of statement of electrochemical formation problem is offered for mathematical modelling of the precision technologies. As an example the process of cutting with a plate electrode-tool is considered. For the description of the technologies with high localization of the processes a stepwise function of current efficiency is used. It realizes for simulation of the anode dissolution process in passivating electrolytes under short impulse current. This function determines the movement rate of the anode boundary in the areas of an active electrochemical dissolution and also it defines the boundaries of the areas where dissolution is absent. The stationary and limiting-stationary machining problems are formulated and solved on the base of the offered model. The limiting model describes the maximum localization process. The stationary problem is characterized by the presence of anode surface part, on which the current density is equal to a critical value. Investigations in the whole range of ratio of the maximal and critical values of electrical field strength on the anode surface are carried out.
Keywords: electrochemical shaping; stepwise function; process localization; stationary model.
Funding agency Grant number
Russian Foundation for Basic Research 17-07-00356_а
This work was financially supported by the Russian Foundation for Basic Research (Project code 17-07-00356).
Received: 10.04.2017
Bibliographic databases:
Document Type: Article
UDC: 51-74
MSC: 30-04
Language: English
Citation: V. P. Zhitnikov, N. M. Sherykhalina, S. S. Porechny, “Stationary electrochemical machining simulation applying to precision technologies”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:4 (2017), 15–25
Citation in format AMSBIB
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\by V.~P.~Zhitnikov, N.~M.~Sherykhalina, S.~S.~Porechny
\paper Stationary electrochemical machining simulation applying to precision technologies
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2017
\vol 10
\issue 4
\pages 15--25
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\crossref{https://doi.org/10.14529/mmp170402}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :37
    References:25
     
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