Geodesic
Application of Kaczmarz method for solving inverse modelling problems of magnetic-abrasive finishing process of planar surfaces
Problemy fiziki, matematiki i tehniki, no. 2 (2024), pp. 90-98

Voir la notice de l'article provenant de la source Math-Net.Ru

The article considers the solution technique for inverse modelling problems of magnetic-abrasive finishing of planar surfaces. The solution of the problem enables the determination of control law of the pressure exerted onto the workpiece needed for realization of material removal according to the prescribed function. The problem is posed in matrix form on the basis of Preston’s equation, and the corresponding linear system of equations is solved using iterative Kaczmarz method. On the basis of numerical examples it is shown that pressure control during machining enables sufficiently precise (with deviation no more than 2.2 as the removal function providing compensation of initial shape errors of the workpiece.
Keywords: magnetic-abrasive finishing, uniformity of material removal, Preston’s equation, inverse problems, Kaczmarz method. 
@article{PFMT_2024_2_a15,
     author = {D. A. Stepanenko and E. S. Eromin},
     title = {Application of {Kaczmarz} method for solving inverse modelling problems of magnetic-abrasive finishing process of planar surfaces},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {90--98},
     publisher = {mathdoc},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2024_2_a15/}
}
TY  - JOUR
AU  - D. A. Stepanenko
AU  - E. S. Eromin
TI  - Application of Kaczmarz method for solving inverse modelling problems of magnetic-abrasive finishing process of planar surfaces
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2024
SP  - 90
EP  - 98
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2024_2_a15/
LA  - ru
ID  - PFMT_2024_2_a15
ER  - 
%0 Journal Article
%A D. A. Stepanenko
%A E. S. Eromin
%T Application of Kaczmarz method for solving inverse modelling problems of magnetic-abrasive finishing process of planar surfaces
%J Problemy fiziki, matematiki i tehniki
%D 2024
%P 90-98
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2024_2_a15/
%G ru
%F PFMT_2024_2_a15
D. A. Stepanenko; E. S. Eromin. Application of Kaczmarz method for solving inverse modelling problems of magnetic-abrasive finishing process of planar surfaces. Problemy fiziki, matematiki i tehniki, no. 2 (2024), pp. 90-98. http://geodesic.mathdoc.fr/item/PFMT_2024_2_a15/