Nonlinear Dynamics Study of Giant Magnetostrictive Actuators with Fractional Damping

Since the structural mechanics of super magnetostrictive actuator (GMA) system involves problems related to viscoelastic damping materials, fractional order is more accurate than integer calculus characterize features in structure. In further investigate intrinsic mechanism and dynamical characteristics GMA system, equations nonlinear containing terms are established main resonance analyzed using averaging method. The influence some parameters on by MATLAB numerical simulation study bifurcation chaotic motion phenomena from qualitative quantitative perspectives. results show that coefficient, external excitation amplitude have significant effects amplitude-frequency system; has a greater behavior dynamic caused change coefficient at different orders similar but region different.