Study on torsional vibration characteristics of conical horn

Author

Zheng, Jianxin ; Han, Jie ; Liu, Chuanshao

Author_Institution

Sch. of Mech. & Power Eng., Henan Polytech. Univ., Jiaozuo, China

fYear

2011

fDate

16-18 April 2011

Firstpage

4482

Lastpage

4485

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.

Keywords

Bessel functions; boundary-value problems; elastic waves; shapes (structures); ultrasonic machining; vibrations; Bessel equation; boundary conditions; conical horn; frequency equation; one-dimensional wave theory; torsional vibration; torsional wave propagation; ultrasonic torsional machining; wave equation; Acoustics; Equations; Machining; Mathematical model; Propagation; Resonant frequency; Vibrations; conical horn; performance parameters; torsional vibration; ultrasonic machining;

fLanguage

English

Publisher

ieee

Conference_Titel

Consumer Electronics, Communications and Networks (CECNet), 2011 International Conference on

Conference_Location

XianNing

Print_ISBN

978-1-61284-458-9

Type

conf

DOI

10.1109/CECNET.2011.5768517

Filename

5768517