Possibilities of Efficiency Increase of Statistical Modeling of Manufacturing Process for Cylindrical Gear Cutting

Abstract

The paper shows the conditions of applying the methods for correlation-regression and dispersion analysis for manufacturing processes simulation in which the required accuracy of the model and the reliable assessment of its adequacy are achieved. The necessity for meeting these conditions is grounded; methods of verifying of compliance with these conditions are given. Classification of these characteristics with regard to processes of cylindrical gear cutting is given. The results are shown for the study of such statistical characteristics of the considered gear machining processes as laws of distribution, steadiness and ergodity parameters of 13 characteristics of tooth accuracy for cylindrical gearwheels at their hobbing and shaping under different conditions. Analysis of laws of distribution of tooth accuracy parameters is made by comparison of their actual distribution under definite conditions of gear machining with 7 theoretical distributions by means of compliance criteria.