Abstract
We consider vibrations of a conductive string with fixed ends in a magnetic field. Induction of the magnetic field is a preassigned function of time. Two nonlinear factors are taken into account simultaneously: the variation of string tension with displacement and the magnetostrictive effect. It is shown that, in the case of a periodic magnetic field, the nonlinear factors can compensate each other and the problem can be reduced to studying the linearized parametric vibrations.
Original language | English |
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Pages (from-to) | 600-604 |
Number of pages | 5 |
Journal | Journal of Applied and Industrial Mathematics |
Volume | 11 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Oct 2017 |
Keywords
- conductive string
- nonstationary magnetic field
- parametric vibrations
- transversal magnetostriction
ASJC Scopus subject areas
- Industrial and Manufacturing Engineering
- Applied Mathematics