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清华大学学报(自然科学版)  2016, Vol. 56 Issue (10): 1055-1060    DOI: 10.16511/j.cnki.qhdxxb.2016.22.038
  精密仪器 本期目录 | 过刊浏览 | 高级检索 |
非线性振动条件下估算谐振梁品质因数
严斌, 刘云峰, 董景新
清华大学 精密仪器系, 精密测试技术及仪器国家重点实验室, 北京 100084
Quality factor estimates of resonant beams with nonlinear vibrations
YAN Bin, LIU Yunfeng, DONG Jingxin
State Key Laboratory of Precision Measurement Technology and Instruments, Department of Precision Instrument, Tsinghua University, Beijing 100084, China
全文: PDF(1639 KB)  
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摘要 硅微谐振式加速度计在真空封装后出现非线性振动,导致测量品质因数的常规方法失效。为了能对真空封装的加速计进行精确监测,提出了一种品质因数测量方法。该方法基于谐振梁的非线性振动模型,通过将扫频数据按照模型公式拟合得到品质因数,适用于非线性振动时的情况。利用谐振式加速度计进行实验,验证了该方法的一致性和准确性,测得加速度计品质因数均在2×105以上。使用该方法对真空封装的气压与品质因数的关系进行了研究,表明真空封装的气压保持在0.1 Pa左右;并对真空封装进行了温度实验和长期跟踪,证明了真空封装的可靠性。
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严斌
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关键词 谐振加速度计非线性振动品质因数真空封装    
Abstract:Vacuum resonant accelerometers have nonlinear sweeping frequency response, so the regular method cannot be used to measure the quality factor. A nonlinear model of the resonant beam is used here to monitor the effect of the vacuum package. The system calculates the quality factor through fitting the sweeping frequency data for the nonlinear vibrations. Tests on a resonant accelerometer verify the consistency and accuracy of the method. The measured quality factors of the accelerometers are all above 2×105. In addition, this method is also used to measure the relationship between the pressure and the quality factor, which indicates that the pressure inside the vacuum package is about 0.1 Pa. The temperature tests and long-term monitoring tests show the reliability of the vacuum packaging.
Key wordsresonant accelerometer    nonlinear vibration    quality factor    vacuum package
收稿日期: 2015-12-10      出版日期: 2016-10-15
ZTFLH:  TH824.4  
通讯作者: 董景新,教授,E-mail:dongjx@tsinghua.edu.cn     E-mail: dongjx@tsinghua.edu.cn
引用本文:   
严斌, 刘云峰, 董景新. 非线性振动条件下估算谐振梁品质因数[J]. 清华大学学报(自然科学版), 2016, 56(10): 1055-1060.
YAN Bin, LIU Yunfeng, DONG Jingxin. Quality factor estimates of resonant beams with nonlinear vibrations. Journal of Tsinghua University(Science and Technology), 2016, 56(10): 1055-1060.
链接本文:  
http://jst.tsinghuajournals.com/CN/10.16511/j.cnki.qhdxxb.2016.22.038  或          http://jst.tsinghuajournals.com/CN/Y2016/V56/I10/1055
  图双端固支梁结构及振型示意图
  图理想二阶系统与非线性系统的幅频特性曲线
  图衰减振荡信号中取出的上部分包络线
  表实验在不同初始振幅下得到的品质因数
  图16 mV时拟合的曲线与原始曲线
  图不同幅值激励下的扫频曲线
  表不同数据选取范围下的品质因数
  图9.8Pa时不同激励幅值下的扫频曲线
  图-3dB带宽法与非线性模型法计算结果对比(p=9.8Pa)
  图变气压实验装置
  图品质因数Q与封装气压的关系
  图10 不同温度下的品质因数
  表近5个月间隔前后测得的品质因数
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