An analysis of variable magnetic damping of a cantilever beam-plate with end coils in transverse magnetic fields

This paper presents a non-linear effect of magnetic damping of conducting structures moving in magnetic fields. For this purpose, a simply typical model, i.e. a non-conducting and non-magnetizable cantilevered beam-plate with end coils in a transverse magnetic field, is employed in the discussion of this paper. After the second power of the rotation at the free end is taken into account, a nonlinear relation between the magnetic couple exerted on the coils and the rotation is gained. A formula of the effective damping factor for the nonlinear dynamic system with electromagneto-mechanical interaction is obtained by applying the method of energy balance. The numerical results show that the effective damping factor is changeable with the amplitude of the beam-plate or time. The larger the amplitude, the bigger the effective magnetic damping