自由边界弯曲振动圆形薄板辐射阻抗研究-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）

专题研究

自由边界弯曲振动圆形薄板辐射阻抗研究

张频1,2，贺西平1*，汪彦军1

(1 陕西师范大学应用声学研究所，陕西西安 710062; 2 西安建筑科技大学理学院，陕西西安 710055)

张频,女,硕士，助教，主要研究方向为超声发生.

摘要:

基于对弯曲振动圆形薄板振动特性的分析，以振动面中心点振动速度?慰迹芯苛俗杂杀呓缤淝穸残伪“宸渥杩沟慕馕霰泶锸剑⒗?个节点的高斯数值积分方法，计算了6种振动模式下辐射阻抗的数值．结果表明，自由边界弯曲振动圆形薄板的辐射阻抗不仅是波数和圆板半径的函数，还与节线数目（振动模式）有关．这为实际应用中评价声学振动系统的电声效率提供了依据．

关键词：

弯曲振动；辐射阻抗; 数值计算

收稿日期：

2007-03-12

中图分类号：

O422.2

文献标识码：

文章编号：

1672-4291(2007)03-0031-04

基金项目：

Doi:

Radiation impedance of thin circular flat plate in flexural vibration with free boundary

ZHANG Pin1,2，HE Xi-ping1*，WANG Yan-jun1

(1 Applied Acoustics Institute, Shaanxi Normal University, Xi′an 710062, Shaanxi, China; 2 College of Science, Xi′an University of Architecture and Technology, Xi′an 710055, Shaanxi, China)

Abstract:

The expressions of radiation impedance of thin circular flat plate in flexural vibration with free boundary are derived reference to the center point vibration velocity of vibration plane based on the analyzing of vibration characteristics. The radiation impedances of six vibration modes are calculated by using the five nodes Gaussian numerical integration method. It is proved that the radiation impedance is not only the function of the wave number k and the radius a, but is concerned with number of the nodal line (vibration mode). It provides foundations for estimating acoustic-electric efficiency of vibration system in practical applications.

KeyWords:

flexural vibration; radiation impedance; numerical calculation