形位误差包容评定的快速优化算法与实现

Efficient Algorithm and Implementation for Geometric Errors Enclosure Evaluation

对形位误差评定理论及应用进行了研究,在建立形位误差评定的几何模型的基础上,分析了形位误差包容评定的特征,并建立了包容性拟合的线性规划数学模型;以最小条件和极差极小化理论作为形位误差评定的判别准则,实现了利用修正单纯形法对形位误差数学规划模型的优化求解。以圆度为例,通过对实际测量数据的误差评定,结果表明该方法具有收敛速度快、评定精度高、计算稳定等优点。该方法在实际工程中对其它形位误差的评定中也取得了较好的效果,体现了较好的通用性和实用性。

The theory of geometric error evaluation and its application was presented. Based on the geometric model of error evaluation, the features of the geometric error enclosure evaluation were analyzed, and the linear programming model was established. By taking the minimum condition criterion and the theory on minimizing extremal difference function as rules of geometric error evaluation, a revised simplex method for direct solution of the programming model was proposed. The method was verified with the roundness error evaluation. In addition, this designed method was used to other geometric error evaluation in practice. The theoretical analysis and experimental results show that, the proposed revised simplex method provides well accuracy on geometric error evaluation, which has high efficiency and stability and has good practicality and universality.