【摘要】 本文证明了Mbius变换分析方法可以应用于任意形状的变幅杆,并提出了一种计算组合变幅杆的Mbius变换系数的方法。这种方法用数字运算取代繁琐的公式推导,可以很方便地用来计算多级组合变幅杆的Mbius变换系了数,同时也可用来近似计算圆形截面任变幅杆的Mbius变换系数。实际运算和实验证说明了这种方法是有效的。更多还原

【Abstract】 In this paper, it is proved that the Mbius transformation can be used to analyze horns (used in ultrsonie vibration systems) with arbitrary shape, and a numerical calculation method evading complicated formula derivations is presented, which can be used conveniently to calculate the Mbius trans for mation coefficients of complex horns and to approach that of circular cross section horns with arbitrary profile. The experimental results for resonant frequencies of the horns tested are in good agreement with theoretical values.更多还原