Nonlinear Resonance Interaction between Conjugate Circumferential Flexural Modes in Single-Walled Carbon Nanotubes

Table 3

Natural frequencies of the beam-like mode (m = 0, n = 1) of the clamped‐free SWCNT of Table 1 for same value of radius R and different values of aspect ratio L/D. Comparisons between Sanders‐Koiter elastic shell theory (SKT) (present model) and numerical molecular dynamics simulations (MDS) [17].

Radius	Aspect ratio	Natural frequency (THz)		Difference (%)
R (nm)	L/D	SKT (present model)	MDS [17]
0.339	5.26	0.217	0.212	2.36
0.339	5.62	0.191	0.188	1.60
0.339	5.99	0.169	0.167	1.20
0.339	6.35	0.151	0.150	0.67
0.339	6.71	0.136	0.136	≤0.01
0.339	7.07	0.123	0.123	≤0.01
0.339	7.44	0.112	0.112	≤0.01
0.339	7.80	0.102	0.102	≤0.01
0.339	8.16	0.094	0.094	≤0.01
0.339	8.52	0.086	0.086	≤0.01
0.339	8.89	0.080	0.080	≤0.01
0.339	9.25	0.074	0.074	≤0.01
0.339	9.61	0.069	0.069	≤0.01
0.339	9.98	0.064	0.064	≤0.01
0.339	10.34	0.060	0.060	≤0.01
0.339	10.70	0.056	0.056	≤0.01
0.339	11.06	0.053	0.053	≤0.01