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

Table 3

The natural frequencies of the nonrotating tapered composite cutter bar with different ply angles (ς = 0.01, L/d = 10, and σ = 0.75).

θ	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
0°	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
45°	1	156.03	153.48	152.65	152.65	152.85	−11.73	−10.33	−9.74	−9.74	−9.35
	2	835.78	833.63	832.36	832.36	832.28	−38.25	−37.13	−36.43	−36.43	−36.01
	3	—	2254.38	2252.97	2252.97	2252.65	—	−193.11	−192.07	−192.07	−191.67
90°	1	60.05	58.36	56.95	56.95	57.06	−6.35	−4.98	−3.68	−3.68	−3.04
	2	319.45	316.92	315.03	315.03	315.35	−41.22	−39.36	−38.27	−38.27	−37.46
	3	—	856.22	854.55	854.55	854.97	—	−266.75	−265.38	−265.38	−264.52