In-process error compensation for tooth form grinding works - (robust error estimation algorithm against the measuring error and experimental result of the in-process grinding error compensation)

Robust error compensation algorithm for tooth furor grinding works of an in volute spur gear is proposed. The proposed algorithm is insensitive for the measurement error of the tooth form profile data. Relationship between ind irect measurement quantity; the grinding error and direct measurement quant ity; the tooth profile data are expressed by an implicit function. Error pr opagation analysis for the implicit model is derived using implicit derivat ive of the model function. Error ellipsoid of the indirect measurement quan tity, which expresses the projection of the error hyper sphere of the direc t measurement quantity, is defined. By taking the structural restrictions o f the grinding error model into the least square calculation of the error e stimation, the primary axis length of the error ellipsoid became smaller, w hich means the algorithm became more insensitive fur the measuring error. P roposed algorithm was implemented on an in-process measuring system with pe rsonal computer. Accurate grinding error compensation was confirmed by expe rimental results.