Modeling a Longitudinal-Torsional Transducer of an Ultrasonic Medical Instrument

The article considers small vibrations of a spatial helical rod included in the longitudinal-torsional transducer of an ultrasonic medical instrument. An algorithm for determining the natural frequencies and waveforms of system vibrations by the method of initial parameters is developed. On the basis of this algorithm the real elastic element of the longitudinal-torsional transducer is calculated using the mathematical package MATLAB. The obtained natural frequencies allow ensuring the operation of the ultrasound medical instrument in the resonant mode.

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