多端输出等幅振动的纵振动变换体

提出了一种一端输入多端输出等幅振动的纵振动方向变换体。变换体由输入杆、半球形过渡体和输出杆组成,通过半球形过渡体将一个输入杆与多个输出杆耦连为一体,并且多个输出杆呈立体分布,可实现一端纵振动输入多个方向上纵振动均匀输出。利用振动变换体端面的自由边界条件,以及各组件连接处的纵向位移、纵向力、横向位移和转角连续条件,推导了纵振动方向变换体的频率方程。解析计算了不同几何尺寸的纵振动变换体的谐振频率,与有限元法的计算值及实验测试值基本吻合。将纵振方向变换体的输入端与谐振频率为19.8 kHz的换能器相连,利用激光测振仪测试了纵振动变换体各输出端振型及各输出端相对于输入端的振幅放大系数,结果显示纵振动经过方向变换体成功地传输到了变换体的各输出杆的端面,且各输出端的振幅基本相等。

A converter of longitudinal vibration of uniform amplitude with multi-outputs

A converter of longitudinal vibration of uniform amplitude with multi-outputs, composed of an input rod, a hemispheric converter and three output rods, is presented. The input rod and output rods are connected through the hemispheric converter and the output rods are circular symmetry distribution in the space in order to make the longitudinal vibration to be transfer to the output ends with uniform amplitude. The frequency equation is derived with free edges at the input and output ends of the converter, as well as the continuity of displacements, forces, and angles of rotation at the junction of each component. The resonant frequencies of the three fabricated converters designed by the proposed method are almost in good agreement with those from the finite element method and also with the tested values obtained from experiment test. Joining the input end of the converter to a piezoelectric transducer with resonant frequency of 19.8 kHz, the longitudinal vibration modes and displacement amplitudes of the output ends of the three converters at their resonant frequencies are tested by Polytee PSV-400 Scanning Vibrometer. It shows that longitudinal vibration can be transferred from the input end to the multi-output ends through the converter and the amplitudes of the each output end are almost equivalent. Furthermore, there exists linear relationships between the excitation voltage and displacements of each output of the converter respectively.