Research Article
Free Vibration Analysis of DWCNTs Using CDM and Rayleigh-Schmidt Based on Nonlocal Euler-Bernoulli Beam Theory
Table 8
Numerical comparison between the results obtained with CDM and [
27,
28,
32] of a DWCNT and for different values of parameter
.
| | Boundary condition | | | |
| | Simply supported | | | | | | | | | [32] | 3.099 | — | — | | [27] | 3.14 | 6.27 | 9.35 | | [28] | 3.141 | 6.265 | 9.276 | | C.D.M. | 3.141 | 6.265 | 8.275 | | R-R | 3.141 | — | — | | | | | | [32] | 3.026 | — | — | | [27] | 3.07 | 5.78 | 8.01 | | [28] | 3.068 | 5.770 | 7.976 | | C.D.M. | 3.068 | 5.780 | 8.036 | | R-R | 3.068 | — | — | | Clamped | | | | | | | | | [32] | 4.482 | — | — | | [27] | 4.73 | 7.82 | 10.82 | | [28] | 4.726 | 7.796 | 10.654 | | C.D.M. | 4.726 | 7.796 | 10.653 | | R-S | 4.732 | — | — | | | | | | [32] | 4.359 | — | — | | [27] | 4.59 | 7.12 | 9.19 | | [28] | 4.590 | 7.105 | 9.123 | | C.D.M. | 4.593 | 7.137 | 9.251 | | R-S | 4.596 | — | — | | Propped | | | | | | | | | [32] | 3.802 | — | — | | [27] | 3.93 | 7.05 | 10.09 | | [28] | 3.925 | 7.035 | 9.981 | | C.D.M. | 3.925 | 7.035 | 9.981 | | R-S | 3.965 | — | — | | | | | | [32] | 3.701 | — | — | | [27] | 3.82 | 6.45 | 8.60 | | [28] | 3.819 | 6.444 | 8.557 | | C.D.M. | 3.820 | 6.463 | 8.643 | | R-S | 3.853 | — | — | | Cantilever | | | | | | | | | [32] | 1.88 | 4.69 | 7.82 | | [27] | 1.875 | 4.690 | 7.797 | | C.D.M. | 1.875 | 4.690 | 7.797 | | | | | | [27] | 1.88 | 4.55 | 7.13 | | [28] | 1.879 | 4.544 | 7.111 | | C.D.M. | 1.879 | 4.547 | 7.143 |
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