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

Figure 6

Mode shape comparisons of the free-free SWCNT of Table 1 with radius R = 0.39 nm and length L = 3.0 nm. (a) Conjugate modes (m,n) = (1,4), (b) (m,n) = (1,4,c): natural frequency f = 6.42757 THz, mode shapes rotated by π/8, (c) conjugate modes (m,n) = (3,4), and (d) (m,n) = (3,4,c): natural frequency f = 6.95070 THz, mode shapes rotated by π/8.

(a)

(b)

(c)

(d)