• 机械基础工程 •

### 基于螺旋理论的卧式加工中心空间误差建模方法及其量化验证

1. 1. 西南石油大学机电工程学院，成都，610500
2. 四川大学机械工程学院，成都，610065
3. 四川普什宁江机床有限公司，成都，611830
• 出版日期:2020-11-10 发布日期:2020-11-16
• 基金资助:
国家科技重大专项（2018ZX04032001）

### Screw Theory Based Modeling Methodology of Horizontal Machining Center Volumetric Errors and Its Quantitative Validation

HU Teng1,3;WANG Wenkuan1;YIN Guofu2;YANG Suixian2

1. 1.School of Mechanical and Electrical Engineering, Southwest Petroleum University, Chengdu, 610500
2. School of Mechanical Engineering, Sichuan University, Chengdu, 610065
3. Sichuan Pushningjiang Machine Tool Co., Ltd., Chengdu, 611830
• Online:2020-11-10 Published:2020-11-16

Abstract: Aiming at solving the problems that the current modeling approach of machine tool volumetric errors was complex and non-uniform, and that the present validating strategies were incapable to be quantitative, a complete methodology of modeling and validating systems were presented for the horizontal machining center volumetric errors. Combining with the topological analysis of machine tool kinematic chains, screw theory and serial mechanism kinematics were employed as the theoretical fundamentals to build the kinematic model of horizontal machining centers. The issue of singular matrix that was potentially generated due to matrix transformation in the traditional modeling approaches might be eliminated by the proposed kinematic modeling method which was also believed to be helpful for simplifying the mechanism kinematics analysis. The effects of the kinematic error definitions on kinematic model referring to different coordinates were systematically studied, based on which the approaches and the principles for confirming the relationship between nominal kinematic matrix and kinematic error matrix were proposed. The volumetric error model of the horizontal machining center was then established accordingly. In order to validate the volumetric error model quantitatively, the validating strategy and technique were proposed based on the concept of Euclidean norm of a volumetric vector. According to the comparisons, the predicted Euclidean norm deviations agree with the experimental results with a maximum relative error of 15.79%. It indicates that the proposed volumetric error modeling methodology is feasible and correct. It is also proved that the proposed quantitative validating strategy is direct and efficient.