弯曲振动阶梯形圆板辐射声场研究-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）

物理学

弯曲振动阶梯形圆板辐射声场研究

张频1，贺西平2*

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

张频，女，助教，硕士，研究方向为功率超声．

摘要:

推导了弯曲振动阶梯形圆板一阶振动的辐射声压及指向性表达式, 模拟出自由边界条件下阶梯形圆板轴对称弯曲振动辐射声压的指向性图，并与薄圆板、改进的弯曲振动板和实验测量的阶梯形圆板声场指向性图作了对比．结果表明，阶梯形圆板声场的指向性比薄圆板有很大改善，比改进的弯曲振动板声场指向性更尖锐，理论获得的指向性图与Gallego通过实验测量的指向性图符合很好．这为设计和利用这类弯曲振动板辐射器提供了一定依据．

关键词：

弯曲振动；阶梯形圆板；辐射声场；指向性

收稿日期：

2008-10-05

中图分类号：

O422.2

文献标识码：

文章编号：

1672-4291(2009)04-0038-05

基金项目：

国家自然科学基金资助项目 (10874107);陕西省自然科学基金资助项目（2007A07）

Doi:

Study on radiated sound field of flexural vibrating circular stepped plates with

ZHANG Pin1, HE Xi-ping2*

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

Abstract:

The radiation pressure and directivity function of flexural vibrating plates with stepped thickness in first order vibration mode are derived. The directivity pattern in free boundary condition is plotted by programming. It is shown that the directivity pattern of flexural vibrating plate with stepped thickness is improved a lot than that of the flat plate, and is sharper than that of the improved flexural vibrating plate. The theoretical directivity pattern is in good agreement with the experimental result measured by Gallego. This study provides the theoretical foundation for design and application of this kind of vibrator.

KeyWords:

flexural vibration; stepped circular plate; radiated sound field; directivity