Mathematical modeling for calibration of three-axis integration quartz flexible accelerometer and error analysis

ZHAO Gui-ling; GUO Wen-jing; LI Song

doi:10.13873/J.1000-9787(2016)08-0015-05

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Mathematical modeling for calibration of three-axis integration quartz flexible accelerometer and error analysis

更新时间：2025-09-11

- Mathematical modeling for calibration of three-axis integration quartz flexible accelerometer and error analysis
- Vol. 35, Issue 8, Pages: 15-19(2016)
- 作者机构：
  
  辽宁工程技术大学测绘与地理科学学院
- 作者简介：
- 基金信息：
- DOI：10.13873/J.1000-9787(2016)08-0015-05
  CLC： TH824.4
- Published：2016
- 稿件说明：
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[1]赵桂玲,郭文婧,李松.三轴一体石英挠性加速度计标定数学建模与误差分析[J].传感器与微系统,2016,35(08):15-19.

ZHAO Gui-ling, GUO Wen-jing, LI Song. Mathematical modeling for calibration of three-axis integration quartz flexible accelerometer and error analysis[J]. 2016, 35(8): 15-19.
[1]赵桂玲,郭文婧,李松.三轴一体石英挠性加速度计标定数学建模与误差分析[J].传感器与微系统,2016,35(08):15-19. DOI： 10.13873/J.1000-9787(2016)08-0015-05.

ZHAO Gui-ling, GUO Wen-jing, LI Song. Mathematical modeling for calibration of three-axis integration quartz flexible accelerometer and error analysis[J]. 2016, 35(8): 15-19. DOI： 10.13873/J.1000-9787(2016)08-0015-05.

摘要

为了提高加速度计标定精度

针对三轴一体石英挠性加速度计确定性误差特性和工程安装特点

基于笛卡尔空间坐标系之间的转换

推导加速度计坐标系与载体坐标系之间的转换矩阵

建立三种石英挠性加速度计线性标定数学模型。仿真和导航实验结果表明:三轴一体石英挠性加速度计标定数学模型误差引起捷联惯性导航系统速度误差、位置误差和姿态误差

且姿态误差和位置误差包含常值分量;所有误差均包含舒勒周期振荡和傅科周期振荡

傅科周期振荡调节舒勒周期振荡。

Abstract

In order to improve precision of accelerometer calibration

aiming at certainty error characteristics and engineering installation features of three-axis integration quartz flexible accelerometer

derived and researched

the transformation matrix between accelerometer coordinate system and carrier coordinate system based on transformation of Cartesian coordinate system is deduced. Three quartz flexible accelerometers calibration mathematical models is established. Simulations and navigation experimental result shows that on static conditions error of calibration mathematical model cause velocity error

position error and attitude error; and attitude error and position error contain constant component; all errors contain Schuler Periodic shocks and Foucault Periodic shocks.Foucault Periodic shocks modulate Schuler Periodic shocks.

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references

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一种激光陀螺惯性测量单元混合标定方法 [J]. 程骏超,房建成,吴伟仁,李建利,王文建. 中国惯性技术学报 . 2014(04)

基于椭球假设的三轴加速度计误差标定与补偿 [J]. 刘艳霞,方建军,杨清梅. 传感器与微系统 . 2014(06)

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捷联惯性导航系统整体标定新方法 [J]. 张华强,赵剡,陈雨. 北京航空航天大学学报 . 2012(04)

石英挠性加速度计磁路仿真分析与优化设计 [J]. 王勇,唐光庆,周静梅,曹燕,余鲲,李世红. 压电与声光 . 2010(04)

惯性仪器测试与数据分析[M]. 国防工业出版社 , 严恭敏, 2012

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