阶梯形截面环行聚能器扭转振动-陕西师范大学学报期刊社网站

陕西师范大学学报（自然科学版）

物理学

阶梯形截面环行聚能器扭转振动

秦磊，曹辉*

(陕西师范大学应用声学研究所，陕西西安 710062)

秦磊,男,硕士研究生,研究方向为超声换能器及超声马达.* 通信作者：曹辉，男，副教授，主要从事超声工程研究.E-mail:Caohui@snnu.edu.cn.

摘要:

对各向同性弹性薄圆环的扭转振动进行研究，给出了其等效电路.在此基础上，对由双金属圆环组成的阶梯形扭转振动聚能器进行了探讨，推出了其扭转振动的复合等效电路及其共振频率方程及角速度放大系数．利用数值方法分析了共振频率以及位移振幅放大系数与其集合尺寸之间的依赖关系.有限元模态分析表明：理论值与仿真值符合很好，这对阶梯形截面环状聚能器的工程设计具有参考价值.

关键词：

阶梯形变幅器；扭转振动；共振频率；等效电路；角位移放大系数

收稿日期：

2009-10-15

中图分类号：

O4261；TB552

文献标识码：

文章编号：

1672-4291(2010)05-0042-05

基金项目：

陕西省自然科学基金资助项目(2005A02)；陕西省教育厅科研基金资助项目(694012).

Doi:

Torsional vibration of step-type radial concentrator

QIN Lei, CAO Hui*

(Applied Acoustics Institute, Shaanxi Normal University, Xi′an 710062, Shaanxi, China)

Abstract:

The torsional vibration of a thin circular metallic ring is studied and the equivalent circuit is derived. Based on the equivalent circuit,the step-type torsional concentrator consisted of two such rings is analyzed.The composite equivalent circuit and the resonance frequency equation are obtained and the angular displacement amplitude magnification is derived. The relationship between the resonance frequency,the angular displacement amplitude magnification and the geometrical dimension are analyzed numerically. It′s showed that the theoretical values basically agree with the simulation results of finite element analysis. Which suggests some rules for engineering design and calculation of annular plate concentrator with step-type.

KeyWords:

step-type concentrator; torsional vibration; resonance frequency; equivalent circuit; angular displacement amplitude magnification