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

Table 2

Shear stress effects on the first natural frequency (Ω = 0 rad/s).

Taper ratio	Ply; angle (°)	With; shear (Hz)	Without; shear (Hz)	Change; rate (%)
TR = 0	0°	158.76	165	3.8
	10°	154.57	157.56	1.9
	20°	125.85	126.12	0.2
	60°	36.20	34.95	−3.6
TR = 1	0°	209.63	221.98	5.6
	10°	205.72	211.99	3.0
	20°	168.47	169.68	0.71
	60°	48.1	47.02	−2.3
TR = 2	0°	269.77	290.42	7.11
	10°	267.90	277.34	3.4
	20°	222.80	222.0	−0.36
	60°	64.33	61.52	−4.57