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导管对圆柱共鸣腔径向共振模式的扰动
引用本文:张方,战可涛,冯晓娟,林鸿,张金涛.导管对圆柱共鸣腔径向共振模式的扰动[J].计量学报,2011,32(5):455-458.
作者姓名:张方  战可涛  冯晓娟  林鸿  张金涛
作者单位:1.北京化工大学理学院, 北京 100013
2.中国计量科学研究院, 北京100013
基金项目:国家自然科学基金(50906076)
摘    要:修正进气导管的影响对声学共鸣法测量Boltzmann常数kB十分必要。基于一阶声学微扰理论研究了导管对圆柱形共鸣腔理想径向共振模式的扰动,分析了导管末端不同连接方式所带来的声阻抗差异,计算了导管对(001)径向模式的共振频率和半宽的扰动值分别为Δf/f0≈-0.04×10-6和Δg/f0≈14.15×10-6,同时分析了导管长度、半径以及径向安装位置的变化对理想径向共振模式扰动的影响。

关 键 词:计量学  声学共鸣法  圆柱形共鸣腔  理想径向共振模式  导管  扰动  

Duct Perturbations to the Radial Modes of Cylindrical Resonators
ZHANG Fang,ZHAN Ke-tao,FENG Xiao-juan,LIN Hong,ZHANG Jin-tao.Duct Perturbations to the Radial Modes of Cylindrical Resonators[J].Acta Metrologica Sinica,2011,32(5):455-458.
Authors:ZHANG Fang  ZHAN Ke-tao  FENG Xiao-juan  LIN Hong  ZHANG Jin-tao
Affiliation:1.College of Science, Beijing University of Chemical Technology, Beijing 100013,China
2.National Institute of Metrology, Beijing 100013,China
Abstract:Correcting the effect of the fill duct for gas-in and out is very necessary for Boltzmann constant kB measurement. The duct perturbations for ideal radial resonance modes of the cylindrical acoustic resonator were studied, and the various acoustic impedances of duct due to different ways of connection at the end of the duct were analyzed,The perturbations for the resonance frequency and the half width were calculated to be Δf/f0≈-0.04×10-6 and Δg/f0≈14.15×10-6 respectively. The influences for perturbations of the ideal radial resonance modes due to the changes of length, internal diameter and fixed-position of duct were also analyzed.
Keywords:Metrology  Acoustic resonance  Cylinder resonator  Ideal radial resonance modes  Duct  Perturbation  
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