Nonlinear Magnetoelectric Response Characteristics Of Giant Magnetostrictive-piezoelectric Sensor

Giant magnetostrictive-piezoelectric composite sensor is a new type of magnetic-electric sensors.It has many advantages,such as high magnetic-mechanical-electric coupled performance,high sensitivity,simple structure,and low cost.In this paper,the hysteretic nonlinear constitutive models of giant magnetostrictive material and piezoelectric material were developed in hysteretic nonlinear theory based on the experimental data.The coupled relationships among magnetostrictive rate,magnetic field intensity(MFI),and frequency were studied in multivariate statistical regression method where the effect of frequency on the hysteresis curve was considered.Based on the above,the magnetic-mechanical-electric coupled dynamic models of a giant magnetostrictive-piezoelectric composite sensor subjected to deterministic or stochastic magnetic field signal were developed,where the effect of the adhesive layer was considered.For deterministic systems,by analyzing the stability,the engineering stability condition is obtained;Numerical simulation using the MATLAB,by changing the parameters of system control,the time-displacement diagram,time-velocity diagram,phase diagram is observed,getting the several meaningful results of the balance and limit cycle,cycle movement,the chaos.For random systems,local stability of the system has been determined by the largest Lyapunov exponent.The global stability of system has been obtained by singular boundary theory.Stochastic Hopf bifurcation has been discussed and the stability of the system are improved by adjusting the system's parameters.The results of this paper will be helpful for application of the giant magnetostrictive-piezoelectric composite sensor in engineering fields.