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Use of boundary element method for the determination of tool shape in electrochemical machining
Author(s) -
Das Shuvra,
Mitra Ambar K.
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620350507
Subject(s) - electrochemical machining , cathode , inverse problem , constraint (computer aided design) , boundary element method , anode , boundary (topology) , embedding , finite element method , machining , boundary value problem , mathematical optimization , process (computing) , iterative method , mathematics , algorithm , mathematical analysis , computer science , geometry , mechanical engineering , engineering , structural engineering , physics , electrode , electrolyte , quantum mechanics , artificial intelligence , electrical engineering , operating system
The problem of cathode shape determination for a given anode shape in electrochemical machining is considered. An algorithm based on the boundary integral equation technique and non‐linear optimization for this inverse problem is developed. The additional flux condition at the anode is used as the constraint in this ill‐posed problem. Through an iterative process, the shape of the cathode is determined by minimizing a functional. The algorithm is tested on two examples. It is shown that the algorithm is consistently superior compared to published numerical techniques based on the embedding method or the method of the lines.