The inverse electromagnetic shaping problem

2008 ◽  
Vol 38 (4) ◽  
pp. 389-403 ◽  
Author(s):  
Alfredo Canelas ◽  
Jean R. Roche ◽  
José Herskovits
2009 ◽  
Vol 45 (4) ◽  
pp. 511-518
Author(s):  
Ch. Karcher ◽  
◽  
V. Minchenya ◽  

1991 ◽  
Vol 27 (6) ◽  
pp. 5229-5231 ◽  
Author(s):  
D.W. Fugate ◽  
J.F. Hoburg

1995 ◽  
Vol 302 ◽  
pp. 1-28 ◽  
Author(s):  
Thomas P. Felici

In a process involving electromagnetic shaping, a high-frequency electromagnetic field is used to deform a liquid conductor into a required shape. This is particularly relevant to processes such as levitation melting. In this paper the stability of such configurations are investigated. The second variation of an appropriate energy functional is derived whose minimum states correspond to stable configurations, thus providing a stability criterion. As an example, this is applied to the shaping of a levitated cylinder of circular cross-section and to an almost spherical axisymmetric shape. In both cases we find that these shapes are unstable. We then consider enclosing the entire shaping device in a metal shield, thus preventing the escape of the magnetic field. It is then shown that in general the shield has a stabilizing effect, whose exact nature depends on the topology of the liquid shape and on the field structure on its surface. This differing behaviour is discussed for two-dimensional spherical and toroidal shapes.


2005 ◽  
Vol 28 (4) ◽  
pp. 387-405 ◽  
Author(s):  
K. Eppler ◽  
H. Harbrecht

2003 ◽  
Vol 137 (1-3) ◽  
pp. 204-207 ◽  
Author(s):  
Shuangming Li ◽  
Jinshan Li ◽  
Qitang Hao ◽  
Hongchao Kou ◽  
Jianguo Li ◽  
...  

2004 ◽  
Vol 148 (1) ◽  
pp. 25-29 ◽  
Author(s):  
H.Z. Fu ◽  
J. Shen ◽  
L. Liu ◽  
Q.T. Hao ◽  
S.M. Li ◽  
...  

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