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中文摘要：
为定性地分析一种超声切割刀的结构因素对其纵振模态的影响规律,并优化其结构设计,首先建立了超声切割刀的动力学模型,由其得到结构的一阶纵振模态解析解,据解析解计算的振动频率结果（52.5kHz）与ANSYS计算结果（52.3kHz）以及实验结果（53.5kHz）相吻合;然后建立了该超声切割刀结构优化设计的数学模型;最后根据该模型,设计了一套结构优化程序,并借助MATLAB的GUIDE工具完成了人机交互优化界面的开发。优化后的切割刀节面位置与夹持件中心位置偏差约为1μm,切割刀刀头处的振幅提高约27%。
英文摘要：
In order to analyze the influence of an ultrasonic cutter＇s structural factors on its longi- tudinal vibration mode qualitatively and optimize its structural design, a dynamics model was estab- lished firstly, and its first--order longitudinal vibration mode was obtained analytically. The analytical result of the vibration frequency （52.5kHz） accords with the ANSYS computing consequence （52.3kHz） and the experimental result （53.5kHz）. Then a mathematical model of the structural opti- mization design of the ultrasonic cutter was built. At last a structural optimization design program was devised,and a host controller interface was programed using the GUIDE tool of MATLAB. After the structural optimization,the deviation between the location of the nodal plane and the position of the clamping center is within 1μm,the amplitude of the tool bit increases by about 27%.
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