Abstract
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 language | English (US) |
|---|---|
| Pages (from-to) | 2679-2689 |
| Number of pages | 11 |
| Journal | Chemical Engineering Science |
| Volume | 50 |
| Issue number | 17 |
| DOIs | |
| State | Published - 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).