基于能量修正法进行大尺寸指数型超声变幅杆准确设计

基于能量修正法修正了大尺寸变幅杆纵振动共振频率方程，得出了其修正频率表达式，分析了大尺寸指数型变幅杆的共振频率修正值，并利用有限元软件ANSYS对一组大尺寸指数变幅杆进行了模态分析。结果表明，比起一维理论值，修正后的频率值更接近于有限元仿真分析结果，变幅杆的尺寸越大（即径长比越大）这种修正效果越明显。

Precise design of large dimension exponential horn based on energy modification method

Based on energy modification method, the longitudinal resonance frequency equation of large dimension exponential horn was modified in the article. As a example, the longitudinal resonance modification frequency of large dimension exponential horn was studied. By finite element analysis software ANSYS, a set of large dimension ex- ponential horn were analysed. Comparing with one-dimensional theory, the solutions of coupled theory are closer to finite element analysis solutions, and the larger for the dimension, the better for modify effect.