Abstract：For the purpose of application to non-circular turning processing, the coupling magneto-elastic dynamics model and complex coefficient dynamics differential equation of the giant magnetostrictive transducer are established. Furthermore, based on the function among the current, the axis-direction position of giant magnetostrictive material and magnetic fields intensity which comes from experiment, the magneto-elastic analytical solution among the magnetic fields, force and displacement of the giant magnetostrictive transducer is derived. Then the relationship between current and displacement at different frequency is studied, and the theoretical formula between current and magnetic fields intensity of hollow column solenoid is amended, and the effects on frequency-response relation in different bias magnetic field are discussed, and the numerical solutions are compared with analytical solutions. The results indicate that the relationship between output displacement and the input excitation current forms hysteresis loop, and the excitation frequency has distinct effect on its area and the loop swing trend position, and the conclusions of amend formula and experiment are perfectly matched. The frequency response of the transducer appears as resonance and anti-resonance characteristics, and the sign of frequency response decides the loop swing trend position and the size of absolute displacement decides the area of loop. Simultaneity, the area and lean of loop are increased following by the bias magnetic field increased. The results lay a foundation for the control and optimization of giant magnetostrictive transducer.
2011, Vol. 32 
