Free Vibration Analysis of DWCNTs Using CDM and Rayleigh-Schmidt Based on Nonlocal Euler-Bernoulli Beam Theory

Table 2

Numerical comparison among [33, 34] and CDM of clamped-free DWCNTs: in columns 3 and 5 the first two dimensionless fundamental frequencies 𝜆₁ and 𝜆₂, with 𝑐₁₂=0, are reported, while in column 4 the first frequency 𝜆, with 𝑐₁₂=0.0694 TPa, is listed.

𝜂0	Method	𝜆1	𝜆	𝜆2
0	[34]	3.664	5.850	6.692
	[33]	3.516	—	6.422
	CDM	3.516	5.614	6.421
0.1	[34]	3.568	5.697	6.517
	[33]	3.531	—	6.449
	CDM	3.531	5.638	6.448
0.2	[34]	3.320	5.302	6.064
	[33]	3.579	—	6.537
	CDM	3.570	5.702	6.520
0.3	[34]	3.002	4.793	5.483
	[33]	3.669	—	6.700
	CDM	3.615	5.772	6.602