Inductor shape optimization for electromagnetic casting

[1]  José Herskovits,et al.  The inverse electromagnetic shaping problem , 2009 .

[2]  José Herskovits,et al.  Shape optimization using the boundary element method and a SAND interior point algorithm for constrained optimization , 2008 .

[3]  Gyung-Jin Park,et al.  Comparison of MDO methods with mathematical examples , 2008 .

[4]  W. Achtziger.  On simultaneous optimization of truss geometry and topology , 2007 .

[5]  de Marc Schoenauer,et al.  Conception optimale de structures , 2007 .

[6]  J. Herskovits,et al.  Mathematical programming models and algorithms for engineering design optimization , 2005 .

[7]  Qian Wang,et al.  Review of formulations for structural and mechanical system optimization , 2005 .

[8]  H. Fu,et al.  Electromagnetic shaping and solidification control of Ni-base superalloys under vacuum , 2004 .

[9]  Arian Novruzi,et al.  Structure of shape derivatives , 2002 .

[10]  Cao Zhiqiang,et al.  Microstructures and mechanical characteristics of electromagnetic casting and direct-chill casting 2024 aluminum alloys , 2002 .

[11]  J. Roche,et al.  Newton's Method in Shape Optimisation: A Three-Dimensional Case , 2000 .

[12]  J. Herskovits.  Feasible Direction Interior-Point Technique for Nonlinear Optimization , 1998 .

[13]  C. Sullivan,et al.  Optimal choice for number of strands in a litz-wire transformer winding , 1997, PESC97. Record 28th Annual IEEE Power Electronics Specialists Conference. Formerly Power Conditioning Specialists Conference 1970-71. Power Processing and Electronic Specialists Conference 1972.

[14]  Olivier Coulaud,et al.  Numerical approximation of a free boundary problem arising in electromagnetic shaping , 1994 .

[15]  Jean R. Roche,et al.  Numerical simulation of tridimensional electromagnetic shaping of liquid metals , 1993 .

[16]  O. Séro-Guillaume,et al.  The shape of a magnetic liquid drop , 1992, Journal of Fluid Mechanics.

[17]  R. Haftka,et al.  Simultaneous nonlinear structural analysis and design , 1989 .

[18]  J. Brancher,et al.  Equilibrium of a magnetic liquid drop , 1987 .

[19]  H. K. Moffatt.  Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 1. Fundamentals , 1985, Journal of Fluid Mechanics.

[20]  R. Haftka.  Simultaneous analysis and design , 1985 .

[21]  J. Brancher,et al.  Étude de la déformation d'un liquide magnétique , 1985 .

[22]  H. K. Moffatt,et al.  Fluid dynamical aspects of the levitation-melting process , 1982, Journal of Fluid Mechanics.

[23]  J. A. Shercliff.  Magnetic shaping of molten metal columns , 1981, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[24]  J. Roche.  Adaptive Newton-like method for shape optimization , 2005 .

[25]  Kyung K. Choi,et al.  Structural sensitivity analysis and optimization , 2005 .

[26]  J. Muzy,et al.  ] 1 8 Se p 20 00 A multivariate multifractal model for return fluctuations , 2000 .

[27]  O. Coulaud.  Asymptotic analysis of magnetic induction with high frequency for solid conductors , 1998 .

[28]  Arian Novruzi,et al.  Contribution en optimisation de formes et applications , 1997 .

[29]  José Herskovits,et al.  A quasi-Newton interior point algorithm applied to constrained optimum design in computational fluid dynamics , 1996 .

[30]  Rouy Elisabeth.  A Tridimensional Inverse Shaping Problem , 1996 .

[31]  Jean R. Roche,et al.  Second order derivatives, Newton method,application to shape optimization , 1995 .

[32]  A. HENROTyAbstract.  Numerical Approximation of a Free Boundary Problem Arising in Electromagnetic Shaping , 1994 .

[33]  J. Brancher,et al.  The inverse shaping problem , 1991 .

[34]  J. Roche,et al.  Computation of free surfaces in the electromagnetic shaping of liquid metals by optimization algorithms , 1991 .

[35]  A. Henrot,et al.  About existence of equilibria in electromagnetic casting , 1991 .

[36]  Antoine Henrot,et al.  Un problème inverse en formage des métaux liquides , 1989 .

[37]  R. Kress.  Linear Integral Equations , 1989 .

[38]  M. Garnier,et al.  Le problème de frontière libre en lévitation électromagnétique , 1986 .

[39]  J. Simon.  Differentiation with Respect to the Domain in Boundary Value Problems , 1980 .

[40]  F. Murat,et al.  Sur le controle par un domaine géométrique , 1976 .

[41]  R. Kanwal.  Linear Integral Equations , 1925, Nature.