1 Introduction
2 Real time chatter detection algorithm
2.1 Chatter indicator and criteria for detecting instability
2.2 Chatter indicator and criteria for detecting stability
3 Experimental setup
4 Results and discussions
Trial No. | Cut 1 | Cut 2 | |||||
---|---|---|---|---|---|---|---|
\(a_{{\text{p}},{\text {measure}}}\)/mm | \(a_{{\text{p}},{\text{calculated}}}\)/mm | Deviation/% | Start spindle speed/(r · min−1) | End spindle speed/(r · min−1) | Angular acceleration/\(({\text{r}} \cdot \left( {{\text{min}} \cdot {\text{s}}} \right)^{ - 1})\) | Stable spindle speed/(r · min−1) | |
1 | 6.92 | 6.91 | 0.14 | 1 300 | 1 450 | 23.1 | 1 388 |
2 | 6.60 | 6.61 | − 0.16 | 1 300 | 1 475 | 27.3 | 1 428 |
3 | 6.91 | 7.01 | − 1.45 | 1 300 | 1 500 | 31.3 | 1 435 |
4 | 6.82 | 7.01 | − 2.79 | 1 300 | 1 525 | 35.7 | 1 434 |
5 | 7.12 | 7.11 | 0.14 | 1 300 | 1 550 | 39.7 | 1 439 |
Average and standard deviation:
\(a_{{\text{p}},{\text{measure}}} = \left( {6.87 \pm 0.168} \right) \,{\text{mm}}\)
| Conventionally obtained stable spindle speed between 1 325 r/min and 1 375 r/min |