正交激励超声切削装置的椭圆轨迹偏转与校正

为研究超声椭圆振动切削（ultrasonic elliptical vibration cutting，UEVC）刀尖轨迹形成及控制，解决刀尖轨迹非正椭圆问题，建立二维正交柔性导波UEVC装置刀尖轨迹的运动学模型；分析90°相位差下非正椭圆轨迹产生原因，建立刀尖轨迹校正模型，并推导出基于正椭圆轨迹下的刀尖轨迹偏转模型。通过实验对刀尖轨迹校正模型进行验证，校正后轨迹偏离坐标轴1.67°，小于校正前偏离角度。实验结果表明，该模型能够有效地校正刀尖轨迹，可在轨迹控制方面为后续研究刀尖轨迹偏转及变刀尖轨迹超声振动加工提供理论基础。

Elliptical Trajectory Deflection and Correction of Orthogonal Excitation Ultrasonic Vibration Cutting Device

A kinematic model of the tool tip trajectory of two-dimensional orthogonal flexible guided wave UEVC device is established in order to study the formation and control of the tool tip trajectory in ultrasonic elliptical vibration cutting (UEVC) and to solve the problem of non-orthogonal ellipse of the tool tip trajectory.The causes of non-orthogonal elliptic trajectory at 90° phase difference were analyzed theoretically, the tool tip trajectory correction model and the tool tip trajectory deflection model were then developed based on orthogonal elliptic trajectory.Experiments were finally conducted to verify the tool tip trajectory correction model.It shows that, in comparing with a deviation angle about 8.68° before the correction, the corrected trajectory brought about a deviation about 1.67°.It suggests that the model can effectively correct the tool tip trajectory and provide a theoretical basis for further research on tool tip trajectory deflection and variable tool tip trajectory ultrasonic vibration machining in terms of trajectory control.