Numerical Simulation of the Vibration Behavior of Curved Carbon Nanotubes

Table 2

Characteristics of simulated straight CNTs.

CNT type	Chirality (n, m)	Length (nm)	Diameter (nm)	Young’s modulus (TPa)	Natural frequency (GHz)		Relative difference in (%)
					Analytical solution	FEM result
Armchair	(3, 3)	15.00	0.407	1.039	10.01	8.47	15.30
Armchair	(5, 5)	15.00	0.678	1.039	14.30	13.90	2.98
Armchair	(6, 6)	15.00	0.814	1.039	16.59	16.63	0.24
Armchair	(7, 7)	15.00	0.949	1.039	19.01	19.30	1.50
Armchair	(9, 9)	15.00	1.220	1.039	23.91	24.67	3.23
Armchair	(10, 10)	15.00	1.356	1.039	26.37	27.34	3.70
Armchair	(11, 11)	15.00	1.492	1.039	28.85	29.98	3.90
Armchair	(14, 14)	15.00	1.898	1.039	36.37	37.80	3.92
Armchair	(16, 16)	15.00	2.171	1.039	41.42	42.89	3.56
Zigzag	(8, 0)	15.05	0.626	1.021	13.26	12.56	5.27
Zigzag	(9, 0)	15.05	0.705	1.025	14.59	14.17	2.85
Zigzag	(10, 0)	15.05	0.783	1.028	15.94	15.76	1.11
Zigzag	(11, 0)	15.05	0.861	1.031	17.31	17.35	0.24
Zigzag	(12, 0)	15.05	0.939	1.032	18.69	18.94	1.35
Zigzag	(16, 0)	15.05	1.253	1.037	24.33	25.20	3.57
Zigzag	(20, 0)	15.05	1.566	1.039	30.06	31.36	4.31