The gear pair integration error curve and its atlas

Abstract

The insufficiency of single-flank testing is analyzed. Today's solutions and their existing problems are discussed. Based on this, the gear pair integration error (GPIE) is used to efficiently eliminate the insufficiency of the single-flank testing. GPIE takes all errors of a gear pair as a set, and this set is represented by the gear pair integration error curve (GPIEC) which is formed in the way that the deviations of all points on conjugate tooth flanks of the gear pair are marked with the same base zero and are arranged along the action line of the gear according to the meshing sequence of the correspondent mesh points. An introduction of the deduction of this theory and its definition formula, as well as the synthesis method of the GPIEC are presented. Finally, the feasibility and efficiency of the theory are demonstrated in resolving the insufficiency of the single-flank testing and analyzing the sources of transmission quality and gear noise through the comparison between the GPIEC of a gear pair and its transmission error curve. The significance of the theory are summarized with respect to their influence upon formulating standards for gear tolerance, analyzing errors of gear-cutting machines and transmission quality of the gear pair, and innovating ways to the research of the dynamic characteristics of gears and their noise.