向明^1,2, 王智¹, 王德伦¹, 吴南星²
AuthorsHTML:向明^1,2, 王智¹, 王德伦¹, 吴南星²
AuthorsListE:Xiang Ming^1,2, Wang Zhi¹, Wang Delun¹, Wu Nanxing²
AuthorsHTMLE:Xiang Ming^1,2, Wang Zhi¹, Wang Delun¹, Wu Nanxing²
Unit:1. 大连理工大学机械工程学院，大连 116024；2. 景德镇陶瓷大学机械电子工程学院，景德镇 333001
Unit_EngLish:1. School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, China
2. School of Mechanical and Electrical Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333001, China
Abstract_Chinese:将测量仪轴线矢量描述为直纹面的直母线, 直母线随回转轴一起误差运动, 其轨迹形成直纹面, 通过建立的直纹面几何模型分析测量仪安装位姿不确定性对测量结果影响, 并提出一种消除仪器安装位姿不确定性影响的评价新方法．定义了球面像误差和腰线误差去描述直纹面的误差运动范围, 并通过优化得到全局不变量．采用全局不变量对主轴误差运动进行评价具有唯一性, 可以剔除安装位姿不确定对测量结果的影响．通过Lion公司的双标准球测量仪实际测量得到主轴误差运动参数, 通过3次安装实验优化结果对比, 验证该方法的有效性．
Abstract_English:The axis of two master balls is expressed as straight generatrix of a ruled surface. The straight generatrix traces a ruled surface along with the error motion of spindle. The paper presents a new ruled surface model to describe the error motion and analyze the influence of measuring equipment installation error on measurement results. Based on the analysis，a new method of evaluation is formed that can eliminate the influence of equipment installation error on measurement results. The spherical image error and the striction error are defined as parameters to describe the range of the error motion. The minimum spherical image error vector and the minimum waist line error vector are obtained by traversing the vectors on all the discrete points in the moving coordinate system. The influence of equipment installation error on measurement results can be eliminated by using the best position and attitude vector. The error motion measurement is obtained by actual measurement of the two master balls of Lion Corporation. The feasibility of the method is verified by three contrast tests.
Keyword_Chinese:运动几何学; 直纹面; 不确定性; 回转副; 误差运动
Keywords_English:kinematic geometry; ruled surface; uncertainty; rotary pair; error motion

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