A study on design method of accuracy for precision machining system based on mathematical model

研究了精密加工系统的精度设计过程，旨在为精密加工系统的精度设计提供一种系统的方法。研究结果如下：（1）形状生成过程中运动误差的建模建立了加工系统形状生成过程运动误差的数学模型。该模型描述了刀具和工件之间相对运动的运动误差。（2）加工误差分析在建立精密加工系统加工误差数学模型的基础上，提出了一种分析精密加工系统加工误差的方法。提出的方法计算加工表面的几何误差的形状之间的工具和工件的运动误差的运动生成运动。（3）运动精度设计方法研究了一种系统的运动精度设计方法，旨在开发精密加工系统精度设计系统。分析了加工精度与运动精度之间的关系，并建立了相应的数学模型。（4）设计系统的开发基于3.该系统确定了精密加工系统进给单元运动精度的合适组合。应用该系统进行了进给机构运动精度设计的实例研究。实例分析表明，该系统对精密加工系统的运动精度设计是有效的。

Design process of accuracy of precision machining system has been studied aimed at developing a systematic method for the precision machining system. The results are summarized as follows :(1)Modeling of kinematic errors in shape generation processA mathematical model was proposed to represent the kinematic errors of shape generation process of machining systems. The model describes the kinematic errors of relative motion between the tool and the workpiece.(2)Analysis of machining errorsA method was developed based on the mathematical model to analyze the machining errors of the precision machining systems. The method proposed calculates the geometric errors of the machined surfaces from the kinematic errors of the shape generation motions between the tools and workpieces.(3)Methodology for design of kinematic accuracyA systematic methodology for design of kenematic accuracy was discussed aimed at developing a design system of accuracy of precision machining system. The relations between the machinig accuracy and the kinematic accuracy were analyzed and formulated.(4)Development of a design systemA design system was developed based on the methodology proposed in 3. The system determines a suitable combination of kinematic accuracy of feed units of precision machining systems. Some case studies were carried out by applying the system to design of the kinematic accuracy of the feed units. It was shown, through the case studies, that the system proposed is effective to design of the kinematic accuracy of the precision machining systems.