Strain energy minimization in SSC magnet winding

Author

Cook, J.M.

Author_Institution

Argonne Nat. Lab., IL, USA

Volume

27

Issue

2

fYear

1991

fDate

3/1/1991 12:00:00 AM

Firstpage

1976

Lastpage

1980

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;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.133592

Filename

133592