中文摘要：

超声切割刀在材料加工领域中有广泛的应用前景,可用于切割各种复合材料等硬脆材料。该文利用ANSYS有限元分析软件建立超声切割刀的有限元模型,对其进行模态分析和谐响应分析。仿真结果显示,超声切割刀在40kHz频率附近存在轴向纵振模态,其振动节点位于安装环和压电陶瓷中心线上,符合设计要求。基于有限元模型研制超声波切割刀,通过阻抗分析仪与激光多谱勒测振仪对换能器的固有频率与响应进行测试,获得的超声切割刀阻抗曲线平滑,谐振频率为40.261kHz,设计误差为0.83%,最大振幅达到14.52μm,结果与有限元计算相互吻合。

英文摘要：

The ultrasonic cutting machine has wide application in material processing in cutting various hard-andbrittle materials,such as composite material.An ultrasonic cutting system is proposed,and a finite element model of the proposed system is established by ANSYS software.Then modal analysis and harmonic response analysis of the proposed system are conducted by ANSYS software.It shows that the proposed system has an axial vibration modal around the frequency of 40 kHz.At the same time,the vibration nodes of the proposed system locate at the erection loop and the center of piezoceramics.These locations accord with the design demands.Based on the finite element model,the proposed system is fabricated,and the natural frequency of the transducer is measured by an impedance analyzer and a laser doppler analyzer.The measured natural frequency is 40.26 kHz,and the obtained frequency and impedance curve is smooth.The relative error between the measured and the predicted result is only0.83%,and the maximum amplitude of vibration is 14.52μm.This indicates that the predicted results well agree with the measured results.