Free Transverse Vibration Analysis of Axially Functionally Graded Tapered Euler-Bernoulli Beams through Spline Finite Point Method

Table 2

First five nondimensional transverse natural frequencies for uniform beams with various boundary conditions.

	C-C		C-P		P-P
	SFPM	Exact [35]	SFPM	Exact [35]	SFPM	Exact [35]
	22.373	22.372	15.418	15.413	9.87	9.869
	61.674	61.669	49.965	49.956	39.479	39.478
	120.912	120.912	104.253	104.244	88.828	88.826
	199.898	199.855	178.297	178.275	157.921	157.913
	298.69	298.529	272.132	272.019	246.769	246.739