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	—