The cathode design problem in electrochemical machining

Yuming Zhou, Jeffrey J. Derby

Research output: Contribution to journalArticlepeer-review

33 Scopus citations


Prior procedures for cathode (tool) design in electrochemical machining have been plagued by limited applicability, inaccuracy, and nonconvergence. We develop and test a new approach to this problem which overcomes these difficulties by employing a finite element method within an optimization formulation. A least-squares minimization of the deviation of the simulated anode (workpiece) shape from that desired is performed, yielding a set of parameters in a predefined representation which uniquely define an optimal cathode shape. Cathode shapes are designed to produce a variety of anode shapes, even anode profiles with nearly discontinuous slope have been obtained.

Original languageEnglish (US)
Pages (from-to)2679-2689
Number of pages11
JournalChemical Engineering Science
Issue number17
StatePublished - Sep 1995

Bibliographical note

Funding Information:
Acknowled#ements--This work was supported in part by the National Science Foundation under grant numbers CTS-9009924 and DMR-9058386, the Minnesota Supercomputer Institute, and the University of Minnesota Army High Performance Computing Research Center (under the auspices of Army Research Office contract number DAAL03-89-C-0038).


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