Research Article

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

Table 4

Numerical comparison among R-R, R-S, and CDM of clamped-simply supported DWCNTs: in columns 3 and 5, the first two dimensionless fundamental frequencies and , with , are reported, while in column 4, the first frequency , with  TPa, is listed.

Method

0R-R15.79925.22728.855
R-S15.72325.105
CDM15.41824.61828.158

0.1R-R14.90123.80127.224
R-S14.84623.705
CDM14.60023.31126.662

0.2R-R12.92820.64223.611
R-S12.89320.587
CDM12.74620.35123.278

0.3R-R10.87617.36619.863
R-S10.85717.336
CDM10.77717.20819.682

0.4R-R9.16214.62816.732
R-S9.15114.612
CDM9.10614.54016.630

0.5R-R7.81812.48313.228
R-S7.88112.473
CDM7.78412.42814.216