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Study on torsional vibration characteristics of conical horn

Authors: Jianxin Zheng; Jie Han; Chuanshao Liu;

Study on torsional vibration characteristics of conical horn

Abstract

The realization of torsional vibration by conical horn has more valuable application in project than by exponential horn and stepped horn. The wave equation of torsional wave propagating in the conical horn is analyzed based on one-dimensional wave theory, and the obtained wave equation is a standard Bessel equation. The frequency equation of the conical horn with torsional vibration is deduced on the basis of wave equation and boundary conditions. Then the mathematical expressions of nodal point and transformation ratio are given. The numerical example shows that mathematical expressions describe the acoustic characteristics of the conical horn with torsional vibration accurately. This study could provide theoretical as well as practical values for the conical horn applied in ultrasonic torsional machining.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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