自然科学版
陕西师范大学学报(自然科学版)
物理学
超声纵振动空心变幅杆的特性
PDF下载 ()
王维鸽, 贺西平*
(陕西师范大学 物理学与信息技术学院, 陕西 西安 710119)
王维鸽,女,硕士研究生,研究方向为超声工程。E-mail:909543025@qq.com
摘要:
基于解析法推导了内孔分别为锥形和柱形的锥形变幅杆的频率方程及各参数表达式,利用有限元法计算了这两种变幅杆和对应空心部分填实后实心杆的应力及振动位移沿轴向分布的规律。结果表明:谐振频率和面积系数相同时,内孔为锥形杆的放大系数最大,柱孔杆次之,实心锥形变幅杆最小;各变幅杆的位移节点与应变极大位置之和近似等于其半波长谐振长度。进一步还证明了空心变幅杆与实心变幅杆具有相同的等效电路。
关键词:
超声变幅杆; 放大系数; 位移节点; 应变极大值点; 等效电路
收稿日期:
2015-01-26
中图分类号:
O426.1
文献标识码:
A
文章编号:
1672-4291(2015)04-0043-05doi:10.15983/j.cnki.jsnu.2015.04.244
基金项目:
国家自然科学基金(11374201)
Doi:
Study on the different shapes of ultrasonic horn with a central hole
WANG Weige, HE Xiping*
(School of Physics and Information Technology, Shaanxi Normal University, Xi′an 710119, Shaanxi, China)
Abstract:
Based on the analytical method, the property factors and frequency equations of the horn with a cylindrical and a conical hole are derived. Utilizing finite element method, the distribution of stress and vibration of the two kinds of horns are studied along the axial.The results show that under the same resonant frequency and area factor, the amplification of the conical horn with a conical hole is the greatest, then is the conical horn with a cylindrical hole and the last is the solid conical horn. It found that the sum of displacement of node and strain maxima is substantially equivalent to its half wave resonant length.Finally, it is proved that the hollow and solid horns have the same equivalent circuit.
KeyWords:
ultrasonic horn; amplification factor; displacement node; strain maxima point; equivalent circuit