Analysis of multi-degree-of-freedom gear error measurement system based on Monte Carlo method

摘要

In order to solve the taper error and tooth slope error of gear, the measurement principle of multi-degree-of-freedom gear error is proposed. The measurement of radial comprehensive error of gear is realized based on the principle of double flank rolling of gear, and the measurement of taper error and tooth slope error of gear is realized based on multi-degree-of-freedom measurement structure of standard gear. Because the measurement system adopts the measured gear to drive standard gear under the condition for the tooth double profile surfaces to engage, and the axial slope of standard gear is measured by micro-displacement sensors which is set in shafting of standard gear during meshing process, so the influence of machining precision of inner hole of measured gear on taper error and tooth slope error is avoided. The tape error and tooth slope error of are defined and given the formulas in this paper. The measuring principle and precision of the system are verified by Monte Carlo method, and the measurement principle of multi-degree-of-freedom gear error is right.