Modified Bouc-Wen Model Based on Fractional Derivative and Application in Magnetorheological Elastomer

To accurately characterize the mechanical behavior of magnetorheological elastomer (MRE) under a wide range strain amplitude, excitation frequency, and magnetic field, viscoelastic fractional derivative was introduced, modified Bouc-Wen model based on for MRE in nonlinear region established. The can describe hysteretic characteristics region, but it cannot simulate magneto-viscoelasticity frequency dependence. express this characteristic with fewer parameters higher accuracy. model’s validity verified by fitting experimental data stress measured shear mode. By analyzing coupling relationship between flux densities, method parameter identification multi-loading conditions proposed, were identified. results reveal that properties MRE, accuracy is significantly improved compared model. expression obtained from accurate density. fitness values simulation identified non-identified exceed 90%, showcasing effectiveness feasibility conditions.