A variational approach to magneto-elastic buckling problems for systems of ferromagnetic or superconducting beams

P.H. Lieshout, van, P.M.J. Rongen, A.A.F. Ven, van de

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7 Citaten (Scopus)

Samenvatting

Based upon a variational principle derived in a preceding paper, expressions for the magneto-elastic buckling values for ferromagnetic or superconducting systems are given. These relations are evaluated for systems of slender beams. Explicit buckling values are calculated for a single ferromagnetic or superconducting beam of arbitrary cross-section, and for systems of two parallel ferromagnetic or superconducting rods. In the analysis needed for the calculation of the intermediate (i.e., rigid-body) and the perturbed magnetic fields, an intensive use of methods inherent in the theory of complex functions is made. In conclusion our results for a set of two superconducting rods are compared with the results of a mathematically less complicated, but also less rigorous, theory.
Originele taal-2Engels
Pagina's (van-tot)143-176
Aantal pagina's34
TijdschriftJournal of Engineering Mathematics
Volume22
Nummer van het tijdschrift2
DOI's
StatusGepubliceerd - 1988

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