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

Figure 5

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) = (1,2), (b) (m,n) = (1,2,c): natural frequency f = 1.21558 THz, mode shapes rotated by π/4, (c) conjugate modes (m,n) = (3,2), and (d) (m,n) = (3,2,c): natural frequency f = 2.32386 THz, mode shapes rotated by π/4.

(a)

(b)

(c)

(d)