复杂曲面上投影曲线的误差可控插补算法

为保证曲面精加工质量的一致性,减轻后续处理工作量,提出了一种误差可控的复杂曲面上投影曲线的直接插补算法。在分析复杂曲面五轴联动数控加工所产生的非线性误差的基础上,在算法中引入误差控制方法,即采用参数对分法来减小非线性误差的影响。方法简单,实用,有利于提高曲面加工质量,可以很好地满足工程实际需求。最后通过实例仿真验证了算法的有效性。

An Error-controllable Interpolation Algorithm of Projective Curves on Sculptured Surfaces

In order to guarantee the quality of surface finish machining and reduce the work volume in the subsequent processes, the paper proposes an error-controllable direct interpolation algorithm of projective curves on sculptured surfaces. On the basis of non-linear error analysis of five-axis CNC machining of the sculptured surfaces, an error control method was introduced to the algorithm. The method uses the parameter bisection strategy to reduce the impact of non-linear errors. It is simple and practical, improves the quality of surface machining and satisfies engineering requirements. Finally an instance testifies the validi- ty of the algorithm.