A hysteresis model based on “shape function + memory mechanism” is presented and its feasibility is verified through modeling the hysteresis behavior of a magnetorheological (MR) damper. A hysteresis phenomenon in resistor-capacitor (RC) circuit is first presented and analyzed. In the hysteresis model, the “memory mechanism” originating from the charging and discharging processes of the RC circuit is constructed by adopting a virtual displacement variable and updating laws for the reference points. The “shape function” is achieved and generalized from analytical solutions of the simple semi-linear Duhem model. Using the approach, the memory mechanism reveals the essence of specific Duhem model and the general shape function provides a direct and clear means to fit the hysteresis loop. In the frame of the structure of a “Restructured phenomenological model”, the original hysteresis operator, i.e., the Bouc-Wen operator, is replaced with the new hysteresis operator. The comparative work with the Bouc-Wen operator based model demonstrates superior performances of high computational efficiency and comparable accuracy of the new hysteresis operator-based model.
Li-Jun Qian, Peng Chen, Fei-Long Cai, and Xian-Xu Bai, "“Shape function + memory mechanism”-based hysteresis modeling of magnetorheological fluid actuators," Proc. SPIE 10596, Behavior and Mechanics of Multifunctional Materials and Composites XII, 105961H (Presented at SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring: March 08, 2018; Published: 22 March 2018); https://doi.org/10.1117/12.2294504.
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