Digital simulation cylindrical milling process with end mills

Abstract

Any cutting process is accompanied by vibrations that can lead to a chatter of machining surface and even to a loss of stability. Mathematical modeling helps to solve such problems of the choice of cutting mode that provide vibration-free machining. The developed mathematical model takes into account the closed of the cutting process and machining "on the trail", which is implemented in its structural diagram representing the process, feedbacks and a function of a delay argument. The dynamic model of a technological machining system is represented by a single-mass model with two degrees of freedom. The developed block diagram of the system together with numerical algorithms for solving the geometric intersection of the cutter tooth with the workpiece and the numerical method of integrating differential equations form the basis of the created application program for digital modeling of the process. The simulation results indicate an adequate response of the program as a whole, which allows us to take the proposed methodology as the basis for further improvement of the virtual research process and the prediction of its real properties. Key words: Cylindrical milling, end mill, digital simulation.