China Mechanical Engineering ›› 2022, Vol. 33 ›› Issue (09): 1077-1083.

### Method of Solving Geometric Error of Large-scale CMM Using Elastic Net Algorithm

CHEN Hongfang1, SUN Mengyang1, GAO Yi1, SHI Zhaoyao1, WANG Guoyuan2, LU Weiguang2, SONG Huixu1

1. 1. Beijing Engineering Research Center of Precision Measurement Technology and Instruments, Beijing University of Technology, Beijing, 100124;
2. AVIC Beijing Precision Engineering Institute for Aircraft Industry, Beijing, 100076

### 利用弹性网络算法求解大型三坐标测量机几何误差的方法

1. 1. 北京工业大学北京市精密测控技术与仪器工程技术研究中心, 北京, 100124;
2. 中国航空工业集团公司北京航空精密机械研究所, 北京, 100076
• 作者简介:陈洪芳,女,1980年生,教授、博士研究生导师。研究方向为激光精密测量技术。发表论文80余篇。E-mail:chf0302@126.com。
• 基金资助:
国家自然科学基金(52175491);国家重点研发计划(2018YFB2001400)

Abstract: In order to improve the accuracy of large-scale CMMs and correct spatial geometric errors, the laser tracing multi-station measurement method was used, instead of physical benchmark, to solve CMM geometric errors based on the elastic net algorithm. Based on laser tracing multi-station measurement, combined with L-M algorithm, the high-precision measurement of the volume errors of CMM space planning points was realized, and the measuring efficiency was improved. The elastic net algorithm was used to solve CMM quasi-rigid body model, and the problem of multicollinearity in the model solutions, and to realize the solution of geometric errors of the CMMs. The relationship model between volume errors and uniaxial geometric errors was combined with the part of coefficients of 0 in equations to solve geometric errors. In the experiments, a laser tracing multi-station measurement system was built, and the volume errors of the CMMs spatial planning points were measured. The results show that the method proposed herein may effectively solve the geometric errors of large-scale CMMs.

CLC Number: