Shape optimization for inverse electromagnetic casting problems

被引:6
作者
Roche, Jean Rodolphe [1 ]
Canelas, Alfredo [2 ]
Herskovits, Jose [3 ]
机构
[1] Nancy Univ, IECN, Facutad Sci, F-54506 Vandoeuvre Les Nancy, France
[2] Inst Estruct & Transporte, UDELAR, Fac Ingn, Montevideo 11300, Uruguay
[3] COPPE UFRJ, Mech Engn Program, BR-21945970 Rio De Janeiro, Brazil
关键词
inverse problem; shape optimization; electromagnetic casting; interior point methods; FAIPA; LIQUID-METALS; BOUNDARY;
D O I
10.1080/17415977.2011.637206
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this article we present an algorithm for inverse optimization problems concerning electromagnetic casting of molten metals. We are interested in locating suitable inductors around the molten metal so that the equilibrium shape will be as near as possible to a desired target shape. A simultaneous analysis and design mathematical programming formulation is stated for the inverse problem. The resulting optimization problem is solved with FAIPA, a feasible directions interior-point algorithm.
引用
收藏
页码:951 / 972
页数:22
相关论文
共 24 条
[1]  
Allaire G, 2007, MATH APPL-BERLIN, V58, P1
[2]   STUDY OF THE DEFORMATION OF A MAGNETIC LIQUID [J].
BRANCHER, JP ;
GUILLAUME, OS .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1985, 90 (01) :57-85
[3]   Shape optimization using the boundary element method and a SAND interior point algorithm for constrained optimization [J].
Canelas, A. ;
Herskovits, J. ;
Telles, J. C. F. .
COMPUTERS & STRUCTURES, 2008, 86 (13-14) :1517-1526
[4]   Inductor shape optimization for electromagnetic casting [J].
Canelas, Alfredo ;
Roche, Jean R. ;
Herskovits, Jose .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2009, 39 (06) :589-606
[5]   The inverse electromagnetic shaping problem [J].
Canelas, Alfredo ;
Roche, Jean R. ;
Herskovits, Jose .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2009, 38 (04) :389-403
[6]  
Choi KK., 2004, Structural sensitivity analysis and optimization I-linear systems
[7]  
FELICI TP, 1991, EUR J MECH B-FLUID, V10, P501
[8]  
GAGNOUD A, 1986, J MEC THEOR APPL, V5, P911
[9]  
Haftka R.T., 1989, COMPUT MECH, V4, P409, DOI DOI 10.1007/BF00293046
[10]   AN INVERSE PROBLEM FOR LIQUID-METALS FORMING [J].
HENROT, A ;
PIERRE, M .
RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1989, 23 (01) :155-177