Research on Parameter Identification of Bouc-Wen Model of Magnetorheological Damper using Least Square Method

The Bouc Wen magnetorheological damper model has eight unknown parameters, and the mathematical expression of the model includes the evolution quantity, absolute value term, and exponential term of differential equation, which complicates parameter identification. Researchers in related fields have made numerous attempts to solve the problem that the model's parameter identification method is complex and difficult to implement. A method combining nonlinear least square method is proposed to identify the parameters of the Bouc-Wen model of magnetorheological damper based on the damping characteristics test. Analyze the relationship between the identification parameters and the current and use the curve fitting toolbox to fit the functional relationship. At the same time, use the Simulink toolbox to create a Bouc-Wen simulation model of a magnetorheological damper and select sinusoidal signals with varying current, amplitude, and frequency for simulation and comparison. The Bouc-Wen model is validated using additional amplitude and frequency test data, and the results show a high degree of fit between the test and simulation results. This method can effectively identify the dynamic model's parameters.