Abstract
Chatter in micro-miniature turn-milling is analyzed using the nonlinear delay differential equations (DDEs) for orthogonal turn-milling. The DDEs are linearized to determine the chatter frequencies. The theoretical analysis agrees well with orthogonal turn-milling experiments. The measured and calibrated frequencies show that the chatter frequency is close to the secondary Hopf bifurcation frequency. Therefore, the secondary Hopf bifurcation reflects the chatter measured in orthogonal turn-milling.
| Original language | English |
|---|---|
| Pages (from-to) | 729-733+740 |
| Journal | Qinghua Daxue Xuebao/Journal of Tsinghua University |
| Volume | 53 |
| Issue number | 5 |
| Publication status | Published - 2013 |
Keywords
- Delay differential equations
- Floquet theory
- Micro-miniature turn-milling
- Regenerative chatter
- Secondary Hopf bifurcation