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

Table 3

Shear stress effects on the first natural frequency (Ω = 100 rad/s).

Taper ratio	Ply; angle (°)	With; shear (Hz)	Without; shear (Hz)	Change; rate (%)
TR = 0	0°	142.85	149.09	4.2
	10°	138.67	141.67	2.1
	20°	109.95	110.22	0.2
	60°	20.29	19.05	−6.5
TR = 1	0°	193.72	206.08	6
	10°	189.80	196.09	3.2
	20°	152.55	153.78	0.8
	60°	32.20	31.12	−3.4
TR = 2	0°	253.87	274.52	7.5
	10°	255.03	271.74	6.1
	20°	206.88	206.10	−0.37
	60°	48.42	45.62	−6.13