Model of Parametric Reliability of Woodworking Machine Tools

Abstract

The article aims to develop a model of the parametric reliability of woodworking machine tools based on the criterion of technological accuracy. For this purpose, a mathematical model of the operating time of a woodworking machine to parametric failure was created using a scheme for changing the size of the workpiece. A linear differential equation characterizing the change in the dimensions for the machined workpiece was obtained based on the assumption of a linear relationship between the wear rate of the machine tool components and its technological accuracy. The differential equation was solved analytically using a Bernoulli approach. As a result, an analytical dependence was obtained for changing the workpiece dimensions. This dependence characterizes the technological accuracy of the machine tool during the overhaul period. The operating time intervals for woodworking machines between parametric failures were also evaluated. The probabilities of failure-free operation were calculated by considering the alpha probability density function for operating time intervals to failure of woodworking machine tools. Finally, it was found that the probability of failure-free operation of machine tools significantly depends on the time-depending parameter, which characterizes the relative durability of the machine tool.