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

Table 4

Nondimensional transverse natural frequencies for tapered homogenous beam; boundary condition: C-C.

		,
	0.2	SFPM	20.0784	55.3432	108.5080	20.0968	55.3683	108.5357
FEM		20.0525	54.9593	106.9451	20.0708	54.9832	106.9690
0.4	SFPM	17.6357	48.5873	95.2438	17.7203	48.7027	95.3717
	FEM	17.6321	48.3680	94.2691	17.7151	48.4791	94.3873
0.6	SFPM	14.9624	41.1721	80.6681	15.1914	41.4862	81.0196
	FEM	14.9753	41.0829	80.1634	15.2019	41.3883	80.4955
0.8	SFPM	11.8486	32.5079	63.6182	12.3970	33.2794	64.5189
	FEM	11.8684	32.4963	63.4193	12.4054	33.2308	64.2326