纵-弯复合系统的振动特性研究

Study on the vibrational characteristics of longitudinal -flexural composite systems

本文对一种常用的纵－弯复合振动系统进行了研究，该系统由一个弯曲振动工具头及一个纵向振动驱动系统组成，文中对复合振动系统的振动特性进行了理论及实验研究，推出了系统的共振及反共振频率方程，还导出了复合振动系统的机械输入阻抗，并对系统的共振频率随长度的变化规律进行了探讨．实验表明，复合振动系统共振频率的测试值与计算值符合较好，系统的共振频率随振动系统几何尺寸的变化而变化，并且，弯曲振动系统的尺寸变化对频率的影响明显大于纵向振动系统的尺寸变化对系统共振频率的影响。

In this paper, the investigation of vibrational characteristics of longitudinal-flexural composite systems is reported. The resonance and anti-resonance frequency equations are derived , and the effect of the tool on the resonance frequency is also studied. The input mechanical impedance of the composite vibrational system is obtained from theoretical derivation and its dependence on the longitudinal dimension and resonant frequency has been discussed. Experiments and theoretical analysis show that the measured resonance frequencies are in good agreement with the predicted results. They also show the tool in ne-cural vibration affects the vibrational characteristics of the composite system more obviously than the longitudinal system does.