[1]赵池航,何杰.石英振梁式重力传感器原理误差模型[J].东南大学学报(自然科学版),2009,39(4):785-789.[doi:10.3969/j.issn.1001-0505.2009.04.026]
 Zhao Chihang,He Jie.Principle error model of quartz vibrating beam gravimeter sensor[J].Journal of Southeast University (Natural Science Edition),2009,39(4):785-789.[doi:10.3969/j.issn.1001-0505.2009.04.026]
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石英振梁式重力传感器原理误差模型()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
39
期数:
2009年第4期
页码:
785-789
栏目:
机械工程
出版日期:
2009-07-20

文章信息/Info

Title:
Principle error model of quartz vibrating beam gravimeter sensor
作者:
赵池航 何杰
东南大学交通学院, 南京 210096
Author(s):
Zhao Chihang He Jie
School of Transportation, Southeast University, Nanjing 210096, China
关键词:
重力传感器 误差模型 石英谐振器 重力测量
Keywords:
gravimeter sensor error model quartz resonator gravity measurement
分类号:
TH761.5
DOI:
10.3969/j.issn.1001-0505.2009.04.026
摘要:
为了建立石英振梁式重力传感器原理误差模型,首先,将石英振梁式重力传感器等效成转动惯量-弹性支承-阻尼系统,导出重力加速度作用条件下石英振梁式重力传感器的系统传递函数和输出差动频率公式; 其次,导出由于舍掉高次项而产生的谐振频率计算误差公式和由于输出差动频率线性化处理而产生的线性化误差公式; 然后,从挠性梁的加工、石英谐振器的加工和质量块的质心偏移3个方面,导出石英振梁式重力传感器加工误差公式; 最后,建立石英振梁式重力传感器原理误差模型,并进行了原理误差定量计算.理论分析和原理误差定量计算表明:输出差动频率线性化误差、挠性梁的加工误差和双音叉石英谐振器的加工误差是主要原理误差,谐振频率计算误差和质量块的质心偏移是次要原理误差; 石英振梁式重力传感器原理误差的数量级为6×10-7g,可以满足10-6g级的高精度重力测量要求.
Abstract:
The structure of the quartz vibrating beam gravimeter sensor is analyzed and the quartz vibrating beam gravimeter sensor is equivalent to the system of the moment of inertia, the stretch bearing and the damp. The transfer function and the differential frequency formula of the quartz vibrating beam gravimeter sensor under conditions of gravitational acceleration are deduced. The resonance frequency formulae of the error caused by rounding the high order terms and the differential frequency linearization are deduced. The machining error formulae of the quartz vibrating beam gravimeter sensor are deduced from the flexibility beam size, the quartz resonator size, and the mass center offset. Finally the principle error model of the quartz vibrating beam gravimeter sensor is established and the quantitative experiment is carried out. Theoretical analyses and the experimental results indicate that the error of the differential frequency linearization, the machining error of the flexibility beam size, and the quartz resonator size are the main errors, and the errors of resonance frequency calculation and mass center offset are the minor errors. The principle error magnitude is 6×10-7g and the quartz vibrating beam gravimeter sensor satisfies the precise gravity measurement of the grade of 10-6g.

参考文献/References:

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备注/Memo

备注/Memo:
作者简介: 赵池航(1975—),男,博士,讲师,chihangzhao@seu.edu.cn.
基金项目: 国家自然科学基金资助项目(40804015)、国家教育部博士点基金资助项目(20070286067).
引文格式: 赵池航,何杰.石英振梁式重力传感器原理误差模型[J].东南大学学报:自然科学版,2009,39(4):785-789. [doi:10.3969/j.issn.1001-0505.2009.04.026]
更新日期/Last Update: 2009-07-20