Research Article
Free Transverse Vibration Analysis of Axially Functionally Graded Tapered Euler-Bernoulli Beams through Spline Finite Point Method
Table 1
First five nondimensional transverse natural frequencies
for uniform beam; boundary condition: C-F.
| | SFPM | Exact [35] | Reference [14] | | | | | |
| | 3.516 | 3.516 | 3.516 | 3.516 | 3.516 | 3.516 | 3.516 | | 22.049 | 22.035 | 22.035 | 22.035 | 22.035 | 22.034 | 22.0345 | | 62.11 | 61.716 | 61.701 | 61.698 | 61.698 | 61.701 | 61.6972 | | 124.526 | 121.062 | 120.929 | 120.91 | 120.905 | 120.909 | 120.9019 | | 205.179 | 200.702 | 199.994 | 199.899 | 199.875 | 199.855 | ā |
|
|