Linearity hysteresis model of giant magnetostrictive components for non-cylindrical hole precision machining

According to the tool path characters of non-cylindrical hole precision machining by giant magnetostrictive components,a dynamic hysteresis model of giant magnetostrictive components was established by a pure delay transfer function and the linearity model between high-frequency driving currents and micro-displacement responses.The pure delay compensation parameters of the system were obtained by the relevant identification of driven currents and output displacements with a certain frequency.Then,a mapping model of the driven currents and output displacements without delay was established.The output displacement met the ideal tool paths of non-cylindrical hole boring by direct inverse model and delay compensation in real-time control.The results in verification experiments indicate that the maximum control error is 2.7 μm,and the maximum relative error is about 10%.By integration of micro-displacement feedback control,the accuracy of the component is improved further,the maximum control error is 1.2 μm,and the maximum relative error is about 7%.