The invention discloses a face gear on-
machine measurement comprehensive error compensation method based on sequential decoupling. Specifically, a sequential decoupling
compensation strategy is provided for solving the problem that the
measurement precision is limited due to mutual
coupling of a measuring head pre-
stroke error and a workpiece installation coordinate
system error in the prior art. The method comprises the following steps: firstly, establishing a measuring head pre-
stroke error model through standard ball calibration, and performing anisotropic compensation on a
tooth surface measuring point by utilizing Delou inner
triangulation and a weighted interpolation method; secondly, based on the compensated data, the outer cylindrical surface and the tooth top plane of the face gear are accurately fitted through an iterative optimization
algorithm, an accurate measurement coordinate
system is established, and the
initial phase of the C axis is optimized; and finally, reconstructing an actual
tooth surface by adopting a two-stage NURBS curved
surface fitting method, and calculating a normal deviation. According to the method, an error propagation chain is effectively
cut off through a strict execution sequence, the overall precision and reliability of on-
machine measurement are remarkably improved, and a key
technical support is provided for face gear closed-loop manufacturing.