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根据实际测量工况,研究一种适合圆度误差在位检测的转位三步法矩阵算法。详细研究该算法的推导过程及回转误差分离原理,给出完整的数学公式;工件轮廓一阶谐波分量的分离以及回转误差分离后工件圆轮廓重构等问题,最后应用C语言和matlab软件对矩阵算法的回转误差分离效果进行仿真分析;搭建实验台验证算法在实际使用中的可行性与正确性。实验分析表明:通过转位三步法的矩阵算法可以实现圆度误差与回转轴误差的分离,得到高精度的工件圆轮廓,提高圆度误差测量精度。此算法具有较高的使用价值。
According to the actual measurement conditions, a three-step transposed matrix method suitable for roundness error detection is studied. The derivation of the algorithm and the principle of slew error separation are studied in detail. The complete math formula, the separation of the first-order harmonic components of the workpiece contour, and the contour reconstruction of the workpiece after slewing error separation are given. Finally, C language and matlab software Matrix algorithm for the separation of the error analysis of the effectiveness of the simulation; set up experimental bench verification algorithm in the practical application of the feasibility and accuracy. The experimental results show that the circularity error can be separated from the rotary axis error by the matrix algorithm of the transposed three-step method, and a high-precision circular contour of the workpiece can be obtained and the roundness error measurement accuracy can be improved. This algorithm has high value.