THE CATHODE DESIGN PROBLEM IN ELECTROCHEMICAL MACHINING

被引:30
作者
ZHOU, YM
DERBY, JJ
机构
[1] Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455, 151 Amundson Hall
基金
美国国家科学基金会;
关键词
D O I
10.1016/0009-2509(95)00104-D
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
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.
引用
收藏
页码:2679 / 2689
页数:11
相关论文
共 46 条
[21]  
Kistler S. F., 1983, COMPUTATIONAL ANAL P, P243
[22]  
Krylov A.L., 1968, DOKL AKAD NAUK SSSR+, V13, P15
[23]   DESIGN OF A CATHODE FOR AN ELECTROMACHINING PROCESS [J].
LACEY, AA .
IMA JOURNAL OF APPLIED MATHEMATICS, 1985, 34 (03) :259-267
[24]  
LAWRENCE P, 1981, 22ND INT MACH TOOL D, P379
[25]   OPTIMAL SHAPE DESIGN FOR SYSTEMS GOVERNED BY VARIATIONAL-INEQUALITIES, .1. EXISTENCE THEORY FOR THE ELLIPTIC CASE [J].
LIU, WB ;
RUBIO, JE .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1991, 69 (02) :351-371
[26]   OPTIMAL SHAPE DESIGN FOR SYSTEMS GOVERNED BY VARIATIONAL-INEQUALITIES, .2. EXISTENCE THEORY FOR THE EVOLUTION CASE [J].
LIU, WB ;
RUBIO, JE .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1991, 69 (02) :373-396
[27]  
McGeough J.A., 1974, PRINCIPLES ELECTROCH
[28]   DESIGN OF TOOLS FOR ELECTROCHEMICAL MACHINING BY THE BOUNDARY ELEMENT METHOD [J].
NARAYANAN, OH ;
HINDUJA, S ;
NOBLE, CF .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 1986, 200 (03) :195-205
[29]  
Newman J., 2021, ELECTROCHEMICAL SYST, V4th, DOI [10.1007/978-94-007-2999-5_11, DOI 10.1007/978-94-007-2999-5_11]
[30]   INVERTED CAUCHY-PROBLEM FOR LAPLACE EQUATION IN ENGINEERING DESIGN [J].
NILSON, RH ;
TSUEI, YG .
JOURNAL OF ENGINEERING MATHEMATICS, 1974, 8 (04) :329-337