A novel model of magnetorheological damper with hysteresis division

Abstract

Due to the complex nonlinearity of magnetorheological (MR) behavior, the modeling of MR dampers is a challenge. A simple and effective model of MR damper remains a work in progress. A novel model of MR damper is proposed with force-velocity hysteresis division method in this study. A typical hysteresis loop of MR damper can be simply divided into two novel curves with the division idea. One is the backbone curve and the other is the branch curve. The exponential-family functions which capturing the characteristics of the two curves can simplify the model and improve the identification efficiency. To illustrate and validate the novel phenomenological model with hysteresis division idea, a dual-end MR damper is designed and tested. Based on the experimental data, the characteristics of the novel curves are investigated. To simplify the parameters identification and obtain the reversibility, the maximum force part, the non-dimensional backbone part and the non-dimensional branch part are derived from the two curves. The maximum force part and the non-dimensional part are in multiplication type add-rule. The maximum force part is dependent on the current and maximum velocity. The non-dominated sorting genetic algorithm II (NSGA II) based on the design of experiments (DOE) is employed to identify the parameters of the normalized shape functions. Comparative analysis is conducted based on the identification results. The analysis shows that the novel model with few identification parameters has higher accuracy and better predictive ability.

On the Hysteresis Mechanism of Magnetorheological Fluids

“…Coincidentally, the associated velocities in this area are relatively small, and the hysteresis displays more distinctly in the force-velocity plot. However, from a view of rate-independence of hysteresis (Visintin, 2013;Chen et al, 2018), the experimental results (Wang and Liao, 2011;Bai et al, 2015;Sapinski et al, 2017;Yu et al, 2017;Shou et al, 2018) show that the hysteresis behaviors of MR fluids occur in force-displacement plot while not in the typical force-velocity plot. The "rate-independence" concept is defined by the path of the couple [with the input z(t) and the output F(t) of the system] that is invariant with respect to any increasing time, i.e., the output is not dependent on the derivative of the input z (Visintin, 2013).…”

“…At present, the research on MR hysteresis characteristics mainly focuses on the mechanical properties of MR actuators (Wang and Liao, 2011;Bai et al, 2013Bai et al, , 2015Sapinski et al, 2017;Yu et al, 2017;Chen et al, 2018;Shou et al, 2018), such as MR dampers and MR clutches/brakes. Experimental tests of MR dampers in valve or shear mode show that the hysteresis only occurs around the direction-change points under sinusoidal displacement excitations (Wang and Liao, 2011;Bai et al, 2015).…”

Asymmetric Dynamic Model of Temperature-Dependent Magnetorheological Damper and Application for Semi-active System

“…To predict the non-linear hysteresis loops, the dynamic models should be established (Guo and Hu, 2005;Ikhouane and Dyke, 2007;Yu et al, 2017). A typical construction of the parametric model shown in Equation (1) is used in this study.…”

“…To verify the accuracy of the proposed model, a conventional model is selected for performance comparisons. The mathematical function of the conventional model is shown in Equation 5 (Yu et al, 2017).…”

A Two-Dimensional Axisymmetric Finite Element Analysis of Coupled Inertial-Viscous-Frictional-Elastic Transients in Magnetorheological Dampers Using the Compressible Herschel-Bulkley Fluid Model

“…Lumped parameter models have been the main tool for modeling of MR dampers because of their simplicity. They are comprehensively reviewed in works (Sahin et al, 2010;Wang and Liao, 2011), and more recent works can be found in Yu et al (2017) and (Chen et al, 2018).…”