The Analysis Of Magneto-elastic Vibration Of Conductive Beam With Axismotion In Magnetic Field

In power transmission, transportation, mechanical and electrical systems and other fields of engineering, there are some moving structure can be simplified as the axial movement beam model for research, such as molded rolled, electromagnetic orbital launch device, fluid conveyed movement wires, etc. Sometimes, however, these movement structures in complex electromagnetic field environment, so the axial motion structure vibration characteristics in magnetic field and the studies of their control problem have become hotspot. This article in view of the axial movement conductive beam in magnetic field, of which the magneto-elastic vibration problems were studied.Push out the kinetic energy, potential energy of the system and the expressions of the external force virtual work. Based on the basic theory of electromagnetic field, the electromagnetic force expression of the axial movement conductive beam is derived, and then the expressions of electromagnetic force virtual work is deduced. Apply the Hamilton variational principle, magneto-elastic vibration equation of the axial movement conductive beam in magnetic field is got finally. In view of the linear vibration natural frequency problem of the axial movement conductive beam in magnetic field, galerkin integral method is applied to obtain the vibration differential equation of the axial movement conductive beam under different boundary conditions. Analysis the the influence of the axial velocity and the magnetic induction intensity on the inherent frequency by an example.For the nonlinear vibration problem of the axial movement conductive beam between parallel wires, the formula of the magnetic induction intensity of the magnetic field around the wire is obtained, and then the vibration differential equation is deduced and the stabilities of singular points of the system are analyzed. Analysis the influence of the current of wire and the distance between the wire and the beam on the stability of the system through numerical example.For the forced vibration problem of axial motion current-carrying beam in magnetic field, the galerkin integral method is used to launch the vibration differential equation of the current-carrying beam under different boundary conditions separately. Through numerical example, analysis the influence of the axial velocity, magnetic induction intensity and current, etc on the vibration frequency and amplitude of the system.