The paper considers the processing technique for amplitude-frequency response of turning and boring CNC machine units. The technique developed by V.A. Kudinov is proposed as the basic one. The essence of the technique is that the use of the experimental or calculated frequency characteristics makes it possible to determine the values of the constants characterizing natural frequency of vibration, decrement factor, unit stiffness, or weight of the technological system elements. The logarithmic decrement is calculated from the resonance peak breadth by applying the formula of the vibration theory for the system with one-degree-of-freedom vibrations. The force of impulse action on the system units is determined by experiment based on measurements by accelerometer built in an impact hammer. The theoretical amplitude-response curve is plotted for the vibration displacement of the units and the logarithmic decrement is calculated in MathCAD.
Dyakonov, A. A., Nurkenov, F. K., & Kazansky, A. D. (2017). Realization Method of Calculating the Logarithmic Decrement in Turning and Boring CNC Machines Technological Systems. In Procedia Engineering (Vol. 206, pp. 1227–1231). Elsevier Ltd. https://doi.org/10.1016/j.proeng.2017.10.623