金属切削过程的分叉与突变

Bifurcation and Catastrophe during Metal Cutting

在非自由切削理论模型和最小能量原理的基础上，从理论上分析了金属切削过程中的分叉和突变现象，并得到了实验的证明．揭示了在同样的切削条件下，金属切削过程中可能呈现出不同的物理状态（分叉和突变），它依赖于切削的初始状态．

Based on a theoretical model developed for nonfree cutting and the principle of minimum energy (PME), the bifurcation and catastrophe during metal cutting are theoretically analyzed and experimentally verified. The research reveals that, under identical cutting conditions, a metal cutting process can be in different physical states, such as different chip ejection angles, different cutting ratios or different cutting forces, i.e., in a bifurcation state. For this reason, the physical state of a cutting process depends not only on the technological parameters, but also on the variation of the parameters. A slight change in parameters may result in a sudden jump of the cutting state, of a catastrophe.