Vibration analysis of ultrasonic tubular resonators

• 作者: LIANG Zhaofeng MO Xiping ZHOU Guangping
• 来源期刊: 声学学报：英文版
• 学科: 工学
• 关键词: 谐振器 超声波 振动分析 自由边界条件 频率方程 耦合振动 弹性方法 无量纲
• 年，卷（期）: 2012,（1）
• 页码范围: 59-72
• 页数: 14页
• 分类号: O733.1|TN751.2
• 语种: 英文

摘要

The frequency equation of the axisymmetric coupled vibration of a ultrasonic tubular resonator with both ends free is derived by an exact solution method, based on classical Fliigge thin shell theory. The dependence of the dimensionless frequency Ω on the ratio of length to radius 1/a, the ratio of radius to thickness a/h and Poisson＇s ratio v is investigated, and the axisymmetric coupled vibration of the ultrasonic tubular resonator with both ends shear diaphragm is compared with that with both ends free. The accuracy of two-dimensional and three-dimensional apparent elasticity method is also assessed by the comparison with the exact solution method. Finally, the mode shapes of the ultrasonic tubular resonator are calculated by the exact solution method, and its transform efficient is analyzed. The results show that as for two boundary conditions of both ends free and both ends shear diaphragm, the difference of the effect of the boundary conditions on the dimensionless frequency of the axisymmetric coupled vibration of the ultrasonic tubular resonator becomes smaller as l/a increases, and the larger a/h, the smaller the difference. Moreover, for free-free boundary conditions, the change of a/h has nearly no effect on the dimensionless frequency of the thin tubular resonator usually considered to mean a/h 〉 10. Purthermore, the dimensionless frequency Ω decreases as v in- creases for a given l/a, and the impact of v on Ω is different for different l/a, and the maximum impact will appear when l/a = π. Finally, the study also shows the three-dimensional apparent elasticity method has very high accuracy.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	MO Xiping	中国科学院声学研究所	2	0	0.0	0.0
2	LIANG Zhaofeng	中国科学院声学研究所	1	0	0.0	0.0
3	ZHOU Guangping	中国科学院声学研究所	1	0	0.0	0.0