一种共振型超声椭圆振动超精密刀架的设计分析

Design and Study of Resonant Ultrasonic Elliptical Vibration Cutting Device

设计一种共振型超声椭圆振动超精密刀架,基于郎之万标准方程,建立超精密刀架的有限元分析模型,设计一种新型组合梁阶梯变幅杆。对共振型超声椭圆振动超精密刀架进行动力学分析。通过模态分析获得振动模态云图,确定超精密刀架的固有频率,并确定刀架存在纵弯耦合振动;通过谐响应分析获得超精密刀架的幅频响应曲线和刀架的共振频率;通过瞬态分析确定超精密刀架前端质点的振动轨迹为椭圆轨迹。动力学分析的结果表明:该超精密刀架可以实现超声椭圆振动。

An ultra-precision tool holder with resonant ultrasonic elliptical vibration is designed. Based on Langevin standard equation, the finite element analysis model of ultra-precision tool holder is established, and a new composite beam step horn is designed. The dynamics of ultra-precision tool holder with resonant ultrasonic elliptical vibration is analyzed. Through the modal analysis, the vibration modal cloud picture is obtained, and the natural frequency of the ultra-precision tool holder is determined along with the existence of and longitudinal bending coupling vibration in the tool holder. The harmonic response analysis is conducted to gain the amplitude-frequency response curve of the ultra-precision tool holder and determine its resonance frequency. The transient analysis defines that the vibration trajectory of the particle at the front end of the ultra-precision tool holder is an elliptical trajectory. The dynamic analysis results show that the ultra-precision tool holder can realize ultrasonic elliptical vibration.