Transversal vibrations of elastic rod in magnetic field under simultaneous kinematic and force action

Innovations and Prospects of Development of Mining Machinery and Electrical Engineering

矿业工程;电工学

Tomilin, A.K.^1 ; Kurilskaya, N.F.^2

National Research Tomsk Polytechnic University, 30, Lenina ave., Tomsk

634050, Russia^1

Novosibirsk State University of Architecture and Civil Engineering, 113, Leningradskaya St., Novosibirsk

630008, Russia^2

关键词: Elastic rod;    Electromagnetic forces;    Force action;    Integral terms;    Model problems;    Passive stabilization;    Transversal vibration;    Vibrational modes;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/87/3/032045/pdf
DOI  :  10.1088/1755-1315/87/3/032045

来源: IOP

【 摘 要 】

A model problem of transversal vibrations of an elastic conducting rod in the magnetic field is studied. Vibrations in the rod are excited due to kinematic and force factors. A partial differential equation of motion containing the integral term for the electromagnetic force was constructed. After applying the Fourier procedure, the problem is reduced to a set of ODEs. The condition for passive stabilization of the main vibrational mode's amplitude is derived. A method of active electromagnetic suppression of certain vibrational modes is proposed.