Self-similar axisymmetric electrochemical machining simulation

Authors

  • Olga Rifovna Zinnatullina FGBOU VO «Ufimskiy gosudarstvennyy aviacionnyy tehnicheskiy universitet» (UGATU)
  • Natalya Mihaylovna Sheryhalina FGBOU VO «Ufimskiy gosudarstvennyy aviacionnyy tehnicheskiy universitet» (UGATU)
  • Natalya Ivanovna Zhitnikova FGBOU VO «Ufimskiy gosudarstvennyy aviacionnyy tehnicheskiy universitet» (UGATU)

Keywords:

axisymmetric problem; complex variables; integral transformations; self-similar solution.

Abstract

The problem of self-similar shaping simulation and boundary conditions are formulated accordingly Faraday’s low. The problem is reducing to the solution of a boundary problem for determination of analytical function of a complex variable. Unlike a plane problem for determination of potential, stream function and intensity, the integral transformations of analytical function are used. Interpolation by a spline functions is made, the method of the solution of self-similar axisymmetric problem differing from known by the accuracy is described. Results of the numerical solution are presented.

Author Biographies

Olga Rifovna Zinnatullina, FGBOU VO «Ufimskiy gosudarstvennyy aviacionnyy tehnicheskiy universitet» (UGATU)

doc. kaf. VMiK. Dipl. inzh.-sistemotehn. (UGATU, 2002). Kand. fiz.-mat. nauk po mehan. zhidkosti, gaza i plazmy (UGATU 2006). Issl. v obl. elektrohimicheskogo formoobrazovaniya, razrabotki chisl.-analit. metodov

Natalya Mihaylovna Sheryhalina, FGBOU VO «Ufimskiy gosudarstvennyy aviacionnyy tehnicheskiy universitet» (UGATU)

prof. kaf. VMiK. Dipl. inzh.-sistemotehn. (UGATU, 1993). D-r tehn. nauk po mat. modelirovaniyu, chisl. metodam i kompleksam programm (UGATU 2012). Issl. v obl. volnovyh techeniy zhidkosti, razrabotki chisl.-analit. metodov, metodov ocenki pogreshnosti i dostovernosti chisl. rezultatov

Natalya Ivanovna Zhitnikova, FGBOU VO «Ufimskiy gosudarstvennyy aviacionnyy tehnicheskiy universitet» (UGATU)

doc. kaf. VMiK. Dipl. inzh.-meh (UAI, 1972). Kand. tehn. nauk po dinamike i prochnosti mashin, priborov i apparatury (UGATU, 1994). Issl. v obl. mehaniki obolochek, chisl. metodov

Downloads

Published

2017-15-12

Issue

Vol. 21 No. 4 (78) (2017): Вестник УГАТУ

Section

MECHANICAL ENGINEERING AND ENGINEERING SCIENCE