The selection of the measurement point is one of the key steps in modelling. The traditional closed-loop control method can enhance the machine tool precision to a certain extent; however, there are some limitations in this technique. This paper presents a method that simplifies modelling a geometric error by integrating the Abbe and Bryan principles. It is found that the modelling accuracy directly affects the machining accuracy, and that the manufacturing process and effect can be simulated using VERICUT. The machining simulation of a hemispherical workpiece provides a theoretical basis for error compensation. A compensation module is integrated into a CNC system, and the effectiveness of error compensation is verified by applying the double ball bar method. The measuring results before and after error compensation are compared, demonstrating that the errors are reduced and compensated successfully.

测量点的选择是建模的关键步骤之一。传统的闭环控制方法可以在一定程度上提高机床的精度。但是，此技术存在一些局限性。本文提出了一种通过整合阿贝和布莱恩原理简化几何误差建模的方法。发现建模精度直接影响加工精度，并且可以使用VERICUT模拟制造过程和效果。半球形工件的加工仿真为误差补偿提供了理论基础。补偿模块已集成到CNC系统中，并且通过应用双球杆法验证了误差补偿的有效性。比较误差补偿前后的测量结果，