Mathematical Model of Wood Drilling Taking into Account the Mutual Infl uence of Electric Motors of Feed and Cutting
The Russian economy currently needs new approaches to solving old problems, that is, such methods that would increase the efficiency of production. In the case of woodworking, we can talk about the introduction of new management principles that ensure a higher quality of processing, even on old woodworking machines and centers. The implementation of such methods is impossible without the development of modern mathematical models of the cutting process, including wood drilling. (Research purpose) The research purpose is in constructing of a mathematical model that reflects the dynamics of wood processing by drilling, which is interconnected through the cutting process. (Materials and methods) Authors used mathematical and numerical modeling with extensive use of mathematical software packages, such as the MatLab mathematical modeling environment. (Results and discussion) The article presents the graphs of the drilling process state in the form of numerical simulation results carried out in the Matlab environment. (Conclusions) The article presents the developed model of the dynamics of the cutting system in two versions. The first version takes into account only the moments and forces associated with the formation of the cutting force in the processing zone. The second model includes an additional moment of resistance associated with the accumulation of chips in the chip-removing channels of the drill. This process has a significant impact on the stability of drilling, with the accumulation of chips in excess of a certain value, the system loses stability and there are raise the possibility of failure of both the drill and the entire spindle assembly. The developed mathematical model of the drilling control system, represented by the system of equations, adequately describes the process of wood processing by drilling on woodworking equipment.