Research Article
Stability Analysis of Cutting Process with Internally Damped Rotating Tapered Composite Cutter Bar
Table 4
The natural frequencies of the non-rotating tapered composite cutter bar with different aspect ratios (ς = 0.01, θ = 0°, and σ = 0.75).
| L/d | Mode | Natural frequency (Hz) | Damping | Present | ANSYS | Present | ANSYS | N = 1 | N = 2 | N = 3 | N = 4 | N = 1 | N = 2 | N = 3 | N = 4 |
| 10 | 1 | 288.23 | 285.80 | 283.35 | 283.35 | 283.92 | −20.03 | −18.89 | −18.17 | −18.17 | −17.88 | 2 | 1555.08 | 1552.42 | 1550.37 | 1550.37 | 1549.86 | −36.87 | −35.44 | −35.01 | −35.01 | −34.75 | 3 | — | 4198.44 | 4197.98 | 4197.98 | 4197.60 | — | −152.95 | −152.42 | −152.42 | −152.11 |
| 12 | 1 | 201.72 | 198.45 | 196.99 | 196.99 | 196.76 | −14.09 | −13.21 | −12.61 | −12.61 | −12.35 | 2 | 1082.34 | 1079.54 | 1077.54 | 1077.54 | 1077.98 | −25.97 | −24.68 | −24.38 | −24.38 | −24.02 | 3 | — | 2929.66 | 2927.85 | 2927.85 | 2928.02 | — | −107.83 | −107.11 | −107.11 | −106.77 |
| 15 | 1 | 129.51 | 126.99 | 125.02 | 125.02 | 124.69 | −9.06 | −8.47 | −8.07 | −8.07 | −7.73 | 2 | 693.79 | 691.68 | 689.48 | 689.48 | 688.92 | −16.85 | −15.93 | −15.64 | −15.64 | −15.32 | 3 | — | 1882.45 | 1881.65 | 1881.65 | 1881.03 | — | −69.62 | −69.11 | −69.11 | −68.59 |
|
|