Analysis and Compensation of Machine-Tools Vibrations by Feedback Theory

Abstract

For the analysis of the machine-tool dynamics, a mathematical model employing a signal flow diagram has been developed by the authors, through which a direct simulation and a precise analysis of the various nonlinear vibrations in the machine-tools, such as regenerative vibration, stick motion, etc, are made possible. The point of this method lies in direct introduction of the analysis in the design of a real machine, making it possible for the machine-tool designer to take account of the vibration problem in his design work prior to drawing the conclusion. In this paper the following problems are treated by the above method. (1) Vibration problem of machine-tools anchored to the ground. (2) Self-excited chattering taking place in the long ram of the milling head of horizontal boring machines.