作者：吴梦旋, 刘庆博, 任顺清

作者单位：哈尔滨工业大学空间控制与惯性技术中心, 黑龙江 哈尔滨 150080

关键词：轴线相交度;齐次变换;三轴转台;经纬仪

摘要：

为解决中环轴没有通光孔时如何测量三轴转台轴线相交度的问题，在内环轴上三轴交汇中心附近设置一靶标，再利用齐次变换法推导出靶标在基准坐标系下的坐标，它是三轴相交度、三轴角位置以及靶标在内环轴坐标系下的偏移量的函数，据此设计三轴相交度误差的测量方法。利用经纬仪观测靶标，计算出靶标坐标的变化量，从而实现三轴相交度的测量，并进行相关的误差分析。分析结果表明：实测相交度满足测量精度要求，测量结果具有有效性。该测量方法可避免在没有通光孔的中环轴旋转至某些特殊角度时经纬仪视线被挡住的情况，使得测量更加方便。

Method for measuring axis line intersection of three-axis turntable without luminous hole at the ends of shaft

WU Mengxuan, LIU Qingbo, REN Shunqing

Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150080, China

Abstract: The paper aims to find out ways to measure axis line intersection of three-axis turntable when its middle axis has no luminous hole. Firstly, fix a target on the inner axis in the vicinity of the intersecting center of three axis lines. Secondly, deduce the target's coordinates under the reference coordinate system with the homogeneous transformation method. The coordinate is the function of the offset of three axis intersection, three axis angular positions and the target in the inner axis coordinate system and then the method for the measurement of three axis line intersection error is designed on this basis. A theodolite is used to align with the target and the variable quantity of the target's coordinates are calculated, in which way the three-axis line intersection is measured and the relevant error is analyzed. The analysis results show that practically measured axis line intersection meets the requirements of measurement accuracy and proves the effectiveness of this method. This measurement method prevents the sight of the theodolite to be blocked when the inner axis without luminous holes rotates to certain angle, simplifying the measurement.

Keywords: axis line intersection;homogeneous transformation;three-axis turntable;theodolite

2017, 43(1): 13-16,32  收稿日期: 2016-08-23;收到修改稿日期: 2016-09-18

基金项目: 十二五预研项目（51309050202）

作者简介: 吴梦旋(1993-),男,湖北仙桃市人,硕士研究生,专业方向为惯性组合测试方法。

参考文献

[1] 任顺清,曾庆双,杨齐慧. 细丝法测量三轴转台的轴线相交度[J]. 中国机械工程,2002,13(15):56-59.
[2] 任顺清,陈世家,李玉华. 用打表法测量三轴转台的轴线相交度[J]. 工具技术,2003,37(2):49-51.
[3] 王玉田. 打表法测量卧式三轴转台相交度的方法[J]. 机械研究与应用,2013,26(6):185-186.
[4] 王明元. 三轴相交度的一种测量方法[J]. 航空计测技术,2002,22(6):8-10.
[5] 王明元,杨连春,余海盛,等. 三轴相交度的一种测量方法[J]. 宇航计测技术,2012,32(2):15-17.
[6] REN S Q, MA G C, WANG C H. Axis intersection measurement of three-axis turntable with two crosshair targets[J]. Journal of Harbin Institute of Technology(New Series),2005,12(3):250-254.
[7] 王振亚,张庆春. 基于CCD的三轴转台轴线相交度测量[J].制造业自动化,2011,33(7):97-100.
[8] 于之靖,孙海龙,陶洪伟,等. 三轴转台轴系相交度和垂直度的新测量方法[J]. 机床与液压,2015,43(17):24-28.
[9] 郭益德. 两种用准直望远镜测量三轴转台的轴线相交度测量方法的比较[C]//中国惯性技术学会测试专业委员会第八次学术交流会论文集.北京:中国惯性技术学会测试专业委员会,2003:77-81.