Vibration and Stability of Variable Cross Section Thin-Walled Composite Shafts with Transverse Shear

Table 5

Effect of mode number on the first natural frequencies ([θ]₆, Ω = 0 rad/s).

	TR = 0			TR = 1			TR = 2
	0°	20°	60°	0°	20°	60°	0°	20°	60°
2
Kim	159.74	816.93	36.66	213.77	127.38	52.46	279.68	220.04	70.05
Present	158.76	92.04	34.54	209.63	122.05	46.22	269.77	161.33	61.86
3
Kim	159.48	295.27	141.32	213.63	366.79	174.64	278.54	448.68	32.20
Present	158.50	92.71	34.25	209.38	124.39	45.94	268.32	162.97	60.22
4
Kim	159.29	799.21	49.16	213.44	184.04	70.50	278.39	142.48	94.92
Present	158.29	92.92	34.16	209.07	124.80	45.90	267.99	163.08	60.06
5
Kim	159.25	219.81	216.16	213.43	371.12	17.24	278.37	453.50	39.785
Present	158.24	93.35	34.15	209.03	125.54	45.90	267.86	164.05	60.01