Hysteresis modeling for the rotational magnetorheological damper

Vibrations is an extremely important issue to consider when designing various systems. It may lead to discomfort and malfunction or in some cases collapse of structures. To compensate for these vibrations different types of damping devices can be applied. The main focus which the following work addresses has been to look at standard methodology which enables determining the hysteresis from defined range of measurements which special focus on the MR damper.The mathematical equations that lie behind the Bingham, Dahl, Lugre and Bouc-Wen have been studied to describe the behavior of the MR damper. The hysteresis equations of Bouc-Wen, Lugre, and Dahl have been modeled and simulated in Matlab/Simulink. We have manipulated the different parameters in the models and analyzed their effects on the outcome. The hysteresis models of Bouc-Wen, Dahl and LuGre have been analyzed and compared analytically to really show the difference in the models. At last the Bouc-Wen model was implemented together with the SAS(Semi Active Suspension) system in the laboratory. The model parameters were tuned manually to try to fit the response of the system. This paper shows that the methodology flowchart can be implemented and generalized for any kind of dampers and used to find behavior of MR damper with different mathematical models. The Bouc-Wen model was found to be model to both illustrate the MR damper and recreate the behavior of the SAS system.