正交面齿轮数控磨削齿面误差修正研究

首先,基于面齿轮的啮合原理和数控磨削展成坐标系之间的变换关系,建立了面齿轮的齿面数学模型,并对面齿轮齿面进行5×9网格划分和节点坐标理论值计算;然后,采用三坐标测量机测出了磨削齿面节点的坐标测量值,通过对齿面误差的分析和分解,得到了齿面网格节点处的齿面偏差值;最后,建立了齿面误差的识别方程,并提出采用序列二次规划方法,对机床加工参数进行优化求解,从而完成了对面齿轮齿面误差的修正。齿面误差修正结果表明,齿面工作区域部分的齿面误差总体趋于平稳,即修正后的齿面误差得到了明显的改善,但是靠近齿面的过渡区域还需要进一步完善。

Study on Tooth Surface Error Correction of NC Grinding of Orthogonal Face Gears

Firstly, based on the meshing principle and the transformation relationship between generating coordinate system of NC grinding, the mathematical model of tooth surface of face gears can be derived, followed by a division of the tooth surface grids of face gear in 5×9, and a calculation of the theoretical coordinate values of nodes. Then three coordinate measuring machines (CMM) are used to measure the coordinate values of the grinding tooth surface joints, and tooth surface deviations of grid nodes can be obtained by analyzing and decomposing the tooth surface error. With the identification equation of the tooth surface error having been established, the sequential quadratic programming (SQP) method has been proposed to optimize the machining parameters of the machine tool, thus completing the correction of the tooth surface error of the opposite gears. The result of tooth surface error correction shows that the error of tooth surface in the working area tends to be stable, and the corrected tooth surface error is obviously improved, but the transition area near the tooth surface needs further improvement.