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

Table 5

Nonlinear convergence analysis of the sum of the time histories of the two conjugate modes (1,2), (1,2,c). Nonlinear modal expansion (27)–(29). Modal initial conditions (36). 22 dof reference model. ERROR_RMS% in the time domain for the 6 dof model, 8 dof model, 14 dof model, and 20 dof model. Free-free SWCNT of Table 1.

(j,n)	(1,2)	(1,2,c)	(1,4)	(1,4,c)	(3,2)	(3,2,c)	(1,0)	(3,0)	ERRORRMS%
6 dof model			—	—	—	—	—	—	12.8
8 dof model			—	—	—	—		—	8.63
14 dof model					—	—		—	4.54
20 dof model								—	2.23
22 dof model									—