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超声频圆柱体耦合振动等效线路及其应用 被引量:5

The Equivalent Circuit of a Short Column and Its Applications
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摘要 本文利用表观弹性法的理论,给出圆柱体耦合振动的等效线路,讨论了圆柱耦合振动的频率方程及负载阻抗对共振频率的影响.并由等效线路计算了圆柱体输入机械阻抗及径向与纵向表现振速比随其几何尺寸变化的关系曲线.计算及实验结果表明,利用等效线路研究圆柱的耦合振动,物理意义明显,计算过程简单. Based on the apparent elasticity method, the equivalent circuit of coupling vibration of a short column is presented. By using the equivalent circuit, the authors derived the frequency equation and analyzed the effect of load impedance on the resonant frequency of the short column and at the same time calculated the input impedance and the apparent radial-to-longitudinal vibrating velocity ratio as a function of l/α. The results show that the analyses and calculations of a short column can be simplified and rational designs of this kind of column as a radiator working in liquid medium can easily be attained. These experiments indicate that the measured frequency agrees well with the designed one and the rationally designed column is a kind of high power radiator in the liquid medium.
出处 《陕西师大学报(自然科学版)》 CSCD 1989年第2期33-37,共5页 Journal of Shaanxi Normal University(Natural Science Edition)
关键词 超声频 圆柱体 耦合振动 等效线路 coupling vibration apparent input impedance
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同被引文献24

  • 1林书玉,张福成,郭孝武.一种新型的功率超声辐射器研究[J].陕西师大学报(自然科学版),1993,21(1):83-85. 被引量:6
  • 2栾桂东 张金铎 等.压电换能器和换能器库[M].北京:北京大学出版社,1990..
  • 3[7]Jae-Hoon Kang.Three-dimensional vibration analysis of thick,circular and annular plates with nonlinear thickness variation[J].Computers and Structures,2003,81(7):1663-1675.
  • 4[8]KLEESATTEL C.Uniform stress contours for disk and ring resonators vibrating in axially symmetric radial and torsional modes[J].Acustica,1968,20(10):1-13.
  • 5[11]GLADWELL G M L.The vibration of mechanical resonators(Ⅱ):rings,discs,and rods of arbitrary profile[J].Sound and Vib,1967,6(3):351-364.
  • 6刘世清,邱营营.薄圆环振子的超声扭转振动及其等效电路研究[J].浙江师范大学学报(自然科学版),2007,30(3):277-281. 被引量:5
  • 7栾桂东 张金铎 等.压电换能器和换能器阵[M].北京:北京大学出版社,1990..
  • 8林书玉,陕西师范大学学报,1993年,21卷,1期,83页
  • 9林书玉,陕西师范大学学报,1990年,18卷,3期,31页
  • 10栾桂东,压电换能器和换能器阵,1990年

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