Research Article
Free Transverse Vibration Analysis of Axially Functionally Graded Tapered Euler-Bernoulli Beams through Spline Finite Point Method
Table 6
Nondimensional transverse natural frequencies
for axially FG tapered beam; boundary condition: C-F.
| | | 0 | 0.2 | 0.4 | 0.6 | 0.8 | | | | | | | | | | |
| | 0 | SFPM | 2.4256 | 18.6042 | 2.6054 | 19.0042 | 2.8508 | 19.5304 | 3.2137 | 20.2959 | 3.8310 | 21.6760 | | Reference [3] | 2.4256 | 18.6041 | 2.6054 | 19.0041 | 2.8508 | 19.5303 | 3.2137 | 20.2958 | 3.8310 | 21.6759 |
| | 0.2 | SFPM | 2.5051 | 17.3802 | 2.6863 | 17.7501 | 2.9336 | 18.2379 | 3.2993 | 18.9501 | 3.9219 | 20.2432 | | Reference [3] | 2.5051 | 17.3802 | 2.6863 | 17.7501 | 2.9336 | 18.2379 | 3.2994 | 18.9501 | 3.9220 | 20.2432 |
| | 0.4 | SFPM | 2.6155 | 16.0705 | 2.7987 | 16.4092 | 3.0486 | 16.8571 | 3.4181 | 17.5139 | 4.0471 | 18.7164 | | Reference [3] | 2.6155 | 16.0705 | 2.7988 | 16.4092 | 3.0486 | 16.8571 | 3.4181 | 17.5139 | 4.0471 | 18.7164 |
| | 0.6 | SFPM | 2.7835 | 14.6508 | 2.9699 | 14.9567 | 3.2237 | 15.3628 | 3.5985 | 15.9616 | 4.2355 | 17.0694 | | Reference [3] | 2.7836 | 14.6508 | 2.9699 | 14.9567 | 3.2237 | 15.3627 | 3.5985 | 15.9616 | 4.2355 | 17.0694 |
| | 0.8 | SFPM | 3.0871 | 13.1142 | 3.2794 | 13.3850 | 3.5401 | 13.7466 | 3.9232 | 14.2848 | 4.5695 | 15.2955 | | Reference [3] | 3.0871 | 13.1142 | 3.2794 | 13.3849 | 3.5401 | 13.7466 | 3.9232 | 14.2848 | 4.5695 | 15.2954 |
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