评定空间直线度误差的3DLSA算法研究  

Research on 3DLSA for Evaluating Spatial Straightness Errors

作　　者：胡仲勋[1] 杨旭静[1] 金湘中[1] 

机构地区：[1]湖南大学,长沙410082

出　　处：《中国机械工程》2010年第3期325-329,共5页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(50875079)

摘　　要：为了有效地评定空间直线度误差,并得出正确度较高的误差值,运用几何学、误差理论和最优化原理,参照相关国家标准,提出了评定空间直线度误差的三维最小二乘算法(3DLSA),推导了3DLSA算法的数学模型,实现了空间直线的三维拟合。按该算法编制程序进行了数字实验。实验结果表明,3DLSA算法是一种有效的算法,在空间直线度误差评定中,比两端点连线算法、LSM算法及其他多种算法具有更好的鲁棒性和更高的正确度。With the geometry, theory of errors and optimization principle usea ano tne related national standard referred, a novel 3DLSA for evaluating the spatial straightness errors was proposed, so as to evaluate the spatial straightness errors effectively and to gain the error values with higher accuracy. Then,a mathematical model of the 3DLSA was deduced, true three--dimensional fitting of the spatial line was theoretically carried out. Finally, the 3DLSA was programmed, and the corresponding numerical experiments were done. The experimental results show that compared with the existed algorithms such as the algorithm of two endpoints linked--line, the least squares method （LSM）and other algorithms in evaluation of the spatial straightness errors, the 3DLSA is more effective and has better robustness and higher accuracy.

关 键 词：空间直线度误差 误差理论 3DLSA 三维拟合 

分 类 号：TH161.12[机械工程—机械制造及自动化]