变幅杆共振频率与力抗负载关系数值分析

Numerical value analysis of relationship between resonance frequency of ultrasonic horn and reactive load by numerical calculation

应用数值计算方法,分析了力抗负载对变幅杆谐振频率的影响.基于变截面杆纵向振动波动方程,推导出了变幅杆在力抗负载情况下的共振频率方程,通过对方程中相对阻抗比的不同赋值,得到了变幅杆相应的共振频率,从而得到共振频率随力抗负载的变化关系.结果表明,随着力抗负载的增大,即从容性负载增大到感性负载,变幅杆谐振频率逐渐下降,感性负载的频率调节范围大于容性负载,共振频率随力抗负载的变化趋于两个不同的极限值.

The effect of reactive load to resonance frequency of horn is analyzed by numerical calculation. Based on the wave equation of vertical vibration in slender pole, the resonance frequency equation of horn under the condition of reactive load and the different resonance frequencies that a pole correspond through endowing ratio of load with different values are given. The result shows that the resonance frequency of horn decreases with the increase of reactive load and the frequency range of inductive load which could be adjusted is larger than capacitive load. The resonance frequency tends to two different limits with the change of reactive load.