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.