Stability Analysis of Cutting Process with Internally Damped Rotating Tapered Composite Cutter Bar

Table 5

The natural frequencies of the non-rotating tapered composite cutter bar with different taper ratios (ς = 0.01, θ = 0°, L/d = 10).

σ	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
1	1	197.69	194.16	192.85	192.85	192.58	−11.98	−10.95	−10.20	−10.20	−9.67
	2	1120.92	1188.45	1186.79	1186.79	1186.35	−28.73	−27.18	−26.52	−26.52	−26.03
	3	—	3214.05	3213.02	3213.02	3212.76	—	−143.85	−143.19	−143.19	−142.76
0.75	1	221.65	218.79	216.99	216.99	216.53	−15.48	−14.57	−13.90	−13.90	−13.45
	2	1213.02	1210.45	1209.01	1209.01	1208.75	−35.17	−33.99	−33.46	−33.46	−33.01
	3	—	3349.10	3347.52	3347.52	3347.92	—	−167.68	−166.99	−166.99	−166.63
0.5	1	367.43	363.06	362.05	362.05	361.78	−25.69	−24.68	−24.11	−24.11	−23.72
	2	1656.99	1654.52	1652.83	1652.83	1653.02	−45.13	−44.25	−43.67	−43.67	−43.12
	3	—	4522.32	4521.27	4521.27	4520.85	—	−196.99	−196.40	−196.40	−196.05