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 |
|---|---|
| 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 |
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Keywords
- conductive string
- nonstationary magnetic field
- parametric vibrations
- transversal magnetostriction
ASJC Scopus subject areas
- Industrial and Manufacturing Engineering
- Applied Mathematics
Cite this
Vibrations of a conductive string in a nonstationary magnetic field under presence of two nonlinear factors. / Tomilin, A. K.; Kuril’skaya, N. F.
In: Journal of Applied and Industrial Mathematics, Vol. 11, No. 4, 01.10.2017, p. 600-604.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Vibrations of a conductive string in a nonstationary magnetic field under presence of two nonlinear factors
AU - Tomilin, A. K.
AU - Kuril’skaya, N. F.
PY - 2017/10/1
Y1 - 2017/10/1
N2 - 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.
AB - 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.
KW - conductive string
KW - nonstationary magnetic field
KW - parametric vibrations
KW - transversal magnetostriction
UR - http://www.scopus.com/inward/record.url?scp=85036464251&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85036464251&partnerID=8YFLogxK
U2 - 10.1134/S1990478917040184
DO - 10.1134/S1990478917040184
M3 - Article
VL - 11
SP - 600
EP - 604
JO - Journal of Applied and Industrial Mathematics
JF - Journal of Applied and Industrial Mathematics
SN - 1990-4789
IS - 4
ER -