Title :
Strain energy minimization in SSC magnet winding
Author_Institution :
Argonne Nat. Lab., IL, USA
fDate :
3/1/1991 12:00:00 AM
Abstract :
Differential geometry provides a natural family of coordinate systems, the Frenet frame, in which to specify the geometric properties of a magnet winding. By a modification of the Euler-Bernoulli thin rod model, the strain energy is defined with respect to this frame. Then, it is minimized by a direct method from the calculus of variations. The mathematics, its implementation in a computer program, and some analysis of a Superconducting Super Collider (SSC) dipole by the program are described
Keywords :
CAD; beam handling equipment; differential geometry; electrical engineering computing; minimisation; proton accelerators; storage rings; stress-strain relations; superconducting magnets; synchrotrons; variational techniques; BEND program; Euler-Bernoulli thin rod model; Frenet frame; SSC magnet winding; Superconducting Super Collider; calculus of variations; computer program; differential geometry; rectifying developable method; strain energy minimisation; stress-strain tensors; Capacitive sensors; Geometry; Laboratories; Magnetic analysis; Magnetic field induced strain; Mathematical model; Sections; Stress; Superconducting cables; Superconducting magnets;
Journal_Title :
Magnetics, IEEE Transactions on
