Generalized Differential Quadrature Method for Free Vibration Analysis of a Rotating Composite Thin-Walled Shaft

Table 3

The first three natural frequencies of the shaft for different boundary conditions and ply angles ( = 800rpm).

Boundary conditions	Ply angle θ°	Frequency ω [Hz]
		1B	1F	2B	2F	3B	3F
C-C	0°	89.5956	116.5424	250.1030	277.5957	462.3860	490.3354
	30°	109.5489	136.5861	325.5890	353.6101	653.8300	683.2888
	60°	275.9256	302.8678	724.3444	751.8162	1314.0023	1341.9065
	75°	356.2460	382.9658	765.3613	792.1977	1233.6654	1260.4888
S-S	0°	60.1498	87.1267	211.7786	239.3596	423.3616	451.4875
	30°	71.8321	98.8569	263.8645	291.8418	569.8837	599.3474
	60°	193.2056	220.5798	618.5663	646.1292	1207.7548	1235.8342
	75°	288.0808	314.8729	730.6617	757.5166	1214.6430	1241.4759
C-F	0°	4.0188	30.8277	91.7179	119.2882	266.1023	294.4848
	30°	6.1303	32.9436	109.4554	137.1525	334.9323	364.0539
	60°	35.6337	62.4424	282.7588	310.3222	771.1312	799.4811
	75°	75.0446	101.8206	402.6232	429.7342	895.0152	922.1036