Analytical Approach for Measurement of Spatial Angle with Inclination Sensor

doi:10.7652/xjtuxb201310019

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Analytical Approach for Measurement of Spatial Angle with Inclination Sensor

更新时间：2025-07-09

- Analytical Approach for Measurement of Spatial Angle with Inclination Sensor
- Vol. 47, Issue 10, Pages: 109-114(2013)
- 作者机构：
  
  西安交通大学电气工程学院,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201310019
  CLC： O121.8
- Online First：10 October 2013，
  
  Published：2013
- 稿件说明：
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Analytical Approach for Measurement of Spatial Angle with Inclination Sensor[J]. 2013, 47(10): 109-114.
DOI：

Analytical Approach for Measurement of Spatial Angle with Inclination Sensor[J]. 2013, 47(10): 109-114. DOI： 10.7652/xjtuxb201310019.

摘要

针对旋转轴与水平面非垂直的情况

提出了一种采用双轴倾角传感器实现空间旋转角度测量的算法。当传感器被随机安装在旋转平面上时

存在3个未知的空间位置参数:旋转轴和水平面之间的夹角β; 传感器所在平面和旋转轴之间的夹角γ; 传感器测量轴在测量平面上的偏转角α。根据倾角传感器测量轴、旋转轴和水平面的空间关系

建立了基于双轴倾角传感器的空间旋转角度测量的数学模型

推导出了空间旋转角度检测的解析表达式。采用该模型算法可实现传感器安装位置参数α和γ的测量

或旋转轴水平夹角β的测量

还可以表现旋转轴非垂直于水平面情况下空间旋转角度的测量

并能达到一定的准确度。实验结果表明

当旋转轴和水平面夹角在小于75°的情况下

采用该方法在±100°的测试范围内

检测准确度均能达到0.2°

说明该模型的重复性良好

并能达到一定精度。

Abstract

This paper presents an approach for measurement of spatial rotation-angle with dual-axis inclination sensor in the case of non-vertical rotation axis. When the sensor is randomly installed on the rotation plane

there are three unpredictable position parameters: β

the angle between the rotation axis and level; α

the swing angle on the measuring plane; and γ

the angle between the sensor plane and the rotation axis. A rotation-angle model is established according to the relationship among measuring axes

rotation axis and the level

and the corresponding analytical equations are derived. The three position parameters and rotation-angle can be calculated with certain accuracy as the rotation axis gets non-vertical to the level. Experimental results show that the measuring accuracy reaches 0.2° within the range of ±100° if the angle between the rotation axis and the level is less than 75°

which indicates the fine repeatability and accuracy of this model.

关键词

Keywords

references

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