Abstract
The dissipated cycle energy of magnetorheological (MR) dampers operated at constantcurrent results from controllable hysteretic damping and from almost currentindependent, small viscous damping. Thus, the emulation of Coulomb friction andlinear viscous damping necessitates current modulation during one vibration cycleand therefore current drivers. To avoid this drawback, a cycle energy control(CEC) approach is presented which controls the hysteretic MR damper part suchthat the total MR damper energy equals the energy of optimal linear viscousdamping by constant current during one cycle. The excited higher modes due to thehysteretic damping part are partially damped by the MR damper viscous part.Simulations show that CEC copes better with damper force dynamics and constraintsthan emulated linear viscous damping due to the slow control force dynamicsof CEC which are given by cable amplitude dynamics. It is demonstrated thatCEC of MR dampers with viscosity of approximately 4.65% of the optimal modalviscosity performs better than optimal linear viscous damping. The reason isthat this damper viscosity represents an optimal compromise between maximumenergy spillover to higher modes due to the controllable hysteretic part whichproduces more cable damping and maximum viscous damping of these highermodes. Damping tests on a cable with an MR damper validate the CEC approach.
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