Time and frequency domain characteristics of a cutting system with time-delay effects

LIU Xianbo1,HE Enyuan2,LONG Xinhua1,MENG Guang1,3

Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (6) : 8-14.

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PDF(1758 KB)
Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (6) : 8-14.

Time and frequency domain characteristics of a cutting system with time-delay effects

  • LIU Xianbo1,HE Enyuan2,LONG Xinhua1,MENG Guang1,3
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Abstract

During the machining process, such as turning, milling and drilling, due to the regenerative cutting effect, the equation of motion of the tool-workpiece system suffers time delay effects, which causes changes in dynamic characteristics of the system.The responses of a linear delay differential system with single degree of freedom were studied when subjected to external excitation.Via deriving the transfer function of the system with time delay and delayed stiffness, the frequency response functions were obtained in the parameter space.The results show that the time delay changes the operating mode of the system, and multiple formants appear on the amplitude-frequency response diagram.The delayed stiffness mainly affects the peak value of the formant, while the time delay amount mainly affects the number of formants.Meanwhile, by analyzing the equations of the ridge clusters of formants, the distribution of formants in the parameter space was presented.In addition, the numerical solution yields a distribution of the number of formants.The results show that as the delayed stiffness and the amount of time delay increase, the number of formants increases from 1 to infinity with a continuous interger increment.Finally, modal hammering tests on a turning test platform verify the relevant conclusions of the time-frequency response characteristics in the paper.The research can serve as a basis in machine tool modal analysis and machine dynamic response analysis.

Key words

time-delay system / regenerative cutting / operational modal / time and frequency characteristic / machine tool dynamics

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LIU Xianbo1,HE Enyuan2,LONG Xinhua1,MENG Guang1,3. Time and frequency domain characteristics of a cutting system with time-delay effects[J]. Journal of Vibration and Shock, 2020, 39(6): 8-14

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