1. Chatter vibration of workpiece deformation type in cutting thin-walled cylindrical workpiece (Prediction of chatter vibration generation using open-loop transfer function)
- Author
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Yutaka KURITA, Yasunori OURA, Takashi TANAKA, and Masahiro KAWATA
- Subjects
self-excited vibration ,cutting ,thin-walled cylinder ,chatter vibration ,natural vibration ,coupled vibration ,Mechanical engineering and machinery ,TJ1-1570 ,Engineering machinery, tools, and implements ,TA213-215 - Abstract
Chatter vibration generated in cutting thin-walled cylindrical workpiece is self-excited vibration caused by the coupling of two natural vibration modes which have the same number but different position of the node diameters in thin-walled cylindrical workpiece (sine mode and cosine mode). The stability of the coupled vibration system can be determined by whether the gain of the open-loop transfer function is greater than 1 at the phase crossover frequency of the open-loop transfer function. Since the natural frequency of the sine mode and the natural frequency of the cosine mode of a thin-walled cylindrical workpiece match, the natural frequency becomes the phase crossover frequency with a phase lag of 180°. The open-loop transfer function of this coupled vibration system is represented by the product of three quantities,cutting depth - principal force characteristics (block 1), principal force - thrust force characteristics (block 2), thrust force - translational displacement characteristics (block 3). Of these three characteristics, only the thrust force - translational displacement characteristics reflect differences in workpiece dimensions. In this paper, it is shown that the generation of chatter vibration can be predicted from the value of thrust force - translational displacement characteristic at natural frequency (resonance peak value).
- Published
- 2024
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