Vibrations of a conductive string in a nonstationary magnetic field under presence of two nonlinear factors |
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Authors: | A. K. Tomilin N. F. Kuril’skaya |
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Affiliation: | 1.National Research Tomsk Polytechnic University,Tomsk,Russia;2.Novosibirsk State University of Architecture and Civil Engineering (SibStrIn),Novosibirsk,Russia |
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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. |
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