A study of the cantilever beam in time varying magnetic field

Magnetically induced oscillations on a conductive cantilever for resonant microsensors

“…1, a conductive cantilever (whose left side face is in the z = 0 plane) is located in a static and in a timechanging magnetic flux field [11][12][13]: the time changing (B 0 ) and the static (B 1 ) fields have both transverse (B 1z , B 0z ) and in plane (B 1p , B 0p ) components. The transverse time-changing magnetic field generates eddy currents in the cantilever; the external dynamic and static magnetic fields (B 0 and B 1 ) and the induced currents in the cantilever are then responsible for electromagnetic forces acting on the cantilever.…”

Multi-field coupling behavior of simply-supported conductive plate under the condition of a transverse strong impulsive magnetic field

“…In the papers of Hua et al [1,2] , Morisue et al [3] , Kabashima et al [4] and Takagi et al [5] , adequate theoretical and numerical analyses have been made on the eddy current and mechanics behaviors of cantilevered beams under the applied time-varying magnetic field Zheng and Liu [6] investigated the coupled effects of magnetization and eddy current on the free vibration of ferromagnetic conducting plates. the above-mentioned theories for the structural mechanics behaviors in the time-varying magnetic field have all neglected the in-plate magnetic volume force.…”

Dynamic stability of a cantilever conductive plate in transverse impulsive magnetic field

“…Morisue (1990) gave analyses for dynamic behavior of a cantilever beam in a time-change magnetic field by using the stream function, Biot-SavartÕs law and the eigenfunction-expansion method. Kabashima et al (1990) computed eddy current in a metal beam placed in combined a lateral magnetic field B 0 cos xt and an in-plane uniform magnetic field with the aid of the A-u method. They found that the experiment data and theoretical results were not very well matched due to the difficulty of detecting the very small motion and the accuracy of calculating the local force distribution.…”