基于最小二乘的复杂曲面检测方法研究

2018-12-20

作者：刘业峰1，2，孙福英1，2，张磊2，段旭明2 单位：1辽宁省数控机床信息物理融合与智能制造重点实验室；2沈阳工学院

摘要：提出了一种基于数模打点、阵列粘贴、迭代建系和最小二乘法运算的叶轮检测方法，给出了采用六点迭代法建立叶轮检测的坐标，再利用3-2-1法创建坐标系的算法步骤。通过阵列粘贴等方法快速生成检测点并对叶轮曲面进行检测，给出了基于最小二乘法原理的计算机数据处理方式。本文提出的检测方法克服了传统测量时测头易发生干涉、检测项目多、检测效率低下等缺点，能有效提高叶轮检测的精度和检测时间，通过多次检测分析，结果表明该方法易于编程，测量迅速，结果准确可靠。

关键词：迭代法；叶轮；最小二乘法；三坐标测量机；坐标系

中图分类号：TG659；TH124文献标志码：A

Research on Complex Surface Detection Based on Least Squares

Liu Yefeng， Sun Fuying， Zhang Lei， Duan Xuming

Abstract:An impeller detection method based on numerical simulation，array pasting，iterative construction，and leastsquares algorithm is proposed.The sixpoint iterative method is used to establish the coordinate of the impeller detection， and then the algorithm steps of the 3-2-1 method to create the coordinate system are given.The detection point is rapidly generated by the method of array sticking and the detection of the impeller surface is given.The computer data processing method based on the principle of least squares is given.The detection method overcomes the disadvantages of easy interference，large number of detection items，and low detection efficiency in the traditional measurement.It can effectively improve the accuracy of the impeller detection and detection time.Through multiple detection and analysis，the results showed that the method is easy to program and measure，which with rapid， accurate and reliable results.

Keywords:iterative method；impeller；least square method；coordinate measuring machine；coordinate system