一种圆锥形变幅杆弯曲振动固有频率的计算方法

严日明1,刘德福1,2,陈涛1,佘亦曦1

振动与冲击 ›› 2016, Vol. 35 ›› Issue (7) : 198-204.

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PDF(1046 KB)
振动与冲击 ›› 2016, Vol. 35 ›› Issue (7) : 198-204.
论文

一种圆锥形变幅杆弯曲振动固有频率的计算方法

  • 严日明1,刘德福1,2,陈涛1,佘亦曦1
作者信息 +

A calculation method of flexural vibration frequency for conical horn

  • YAN Ri-ming1, LIU De-fu1,2, CHEN Tao1, SHE Yi-xi1
Author information +
文章历史 +

摘要

提出了一种圆锥形变幅杆弯曲振动固有频率的计算方法。先忽略剪切变形和惯性矩作用,基于Euler-Bernoulli杆理论求解出固有频率初值,再计入二者的作用进行弯曲振动固有频率的修正。应用有限元分析法和模态实验测试对该方法进行了验证,理论结果与实验结果相吻合,误差在5%以内。基于该方法编写了程序,实现了弯曲振动变幅杆结构的主动设计。

Abstract

A method for the calculation of the flexural vibration frequency for conical horn is presented. Firstly, the initial flexural frequency values ignoring the effects of shear deformation and moment of inertia can be obtained based on the Euler-Bernoulli bar theory, and then the flexural vibration frequency is corrected including both of the effects. The FEM and the modal test show that the results obtained from the computing method agree the experimental results very well within 5% error. Besides, actively design of flexural vibration horn is achieved through the program based on the novel method.

关键词

圆锥形变幅杆 / 超声弯曲振动 / 固有频率

Key words

conical horn / ultrasonic flexural vibration / natural frequency

引用本文

导出引用
严日明1,刘德福1,2,陈涛1,佘亦曦1. 一种圆锥形变幅杆弯曲振动固有频率的计算方法[J]. 振动与冲击, 2016, 35(7): 198-204
YAN Ri-ming1, LIU De-fu1,2, CHEN Tao1, SHE Yi-xi1. A calculation method of flexural vibration frequency for conical horn[J]. Journal of Vibration and Shock, 2016, 35(7): 198-204

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