摘要
目前直角坐标系下空间直线度偏差评价尚未形成统一的方法,针对此问题,提出了基于点特征的直角坐标系空间直线度偏差评价方法。利用空间直线度偏差测量模型与点特征间的关系,以直角坐标系下空间直线度测量方法为基础,建立空间直线度偏差评价数学模型。在截面测量法的基础上,建立空间直线度偏差测量模型。基于空间任意对称二次曲线数学方程,构建最小二乘测量截面轮廓曲线,解决被测截面轮廓中心获取的问题。根据模型点特征关系,最终实现对空间直线度偏差的准确评价。通过实际测试验证了所提出方法的合理性与准确性,为推动空间直线度精密测量技术发展提供了有力支撑。
The unified evaluation method of spatial straightness deviation in Cartesian coordinate system has not been established at present.For the situation,an evaluation method of spatial straightness deviation in Cartesian coordinate system based on point features is proposed in this paper.Using the relationship between the spatial straightness deviation measurement model and the point characteristics,and based on the spatial straightness measurement method in Cartesian coordinate system,the mathematical models for the spatial straightness deviation evaluation in Cartesian coordinate system are established.On the basis of the crosssection measurement method,the measurement model of spatial straightness deviation is established.Based on the mathematical equation of arbitrary symmetric quadratic curves in space,the least square measurement section profile curve is constructed to solve the problem of obtaining the center of the measured section profile.Finally,the accurate evaluation of the spatial straightness deviation is realized according to the point characteristic relationship.Moreover,the rationality and accuracy of the proposed method are verified through practical tests,which provides a strong support for promoting the development of spatial straightness measurement technology.
作者
杜红枫
陈晓航
王治忠
张乃方
DU Hongfeng;CHEN Xiaohang;WANG Zhizhong;ZHANG Naifang(Research Institute of Science and Education Development,Xi′an Jiaotong University,Xi′an 710049,China;Xi′an Space Engine Co.,Ltd,Xi′an 710061,China)
出处
《计测技术》
2022年第6期60-66,共7页
Metrology & Measurement Technology
关键词
空间直线度偏差
测量与评价
直角坐标系
几何量测量
最小区域偏差模型
spatial straightness
measurement and evaluation
Cartesian coordinate system
geometric measurement
minimum zone deviation model