数控非球面超光滑加工机床空间误差建模

Modeling the Volumetric Error of a CNC Super-smooth Processing Machine for Aspheric Surfaces

为了快速有效地提高超光滑加工机床的加工精度,为实施误差补偿做好基础和准备工作,进行了超光滑加工机床误差建模技术的研究。根据数控超光滑加工机床的具体结构,运用多体系统运动学理论的基本原理,建立了机床成形系统的拓扑结构和低序体阵列,并推导出机床相邻体的特征矩阵,它是进行机床精度分析与建模的核心。基于多体系统运动学精度分析理论,详细研究了数控超光滑加工机床的理想成形运动函数、理想成形运动约束、实际成形运动函数以及实际成形运动约束,进而得到了刀具成形点的综合空间位置误差,最终完成了超光滑加工机床的综合空间误差建模过程,给出了具体模型表达式。

In order to improve the precision of the super-smooth processing machine quickly and effectively and prepare the groundwork preparation work for the implementation of error compensation,error modeling for the super-smooth processing machine was developed.According to the concrete structure of the CNC super-smooth processing machine,using the basic theory of multi-body system kinematics,the topological structures and the number arrays of low-order body of the shaping system of the machine were established and the characteristics matrixes were employed to represent the relative positions and gestures between any two bodies in the machine.These kernels are the foundation of kinematics analyzing and modeling for the machine.Based on the accuracy analysis of multi-body system kinematics,the ideal shaping motion function,the ideal shaping movement constraints,the actual shaping movement function,and the actual shaping motion constraints of the CNC super-smooth processing machine were investigated in detail.Furthermore,the integrated space position error of the tool shaping point was achieved.Ultimately,the modeling process for the integrated space position error of the super-smooth processing machine was accomplished,and the specific expression of the model was given.