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

Table 5

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

		,
	0.2	SFPM	8.8462	35.4461	79.7399	8.8246	35.4665	79.7721
FEM		8.8370	35.2994	78.9997	8.8153	35.3191	79.0321
0.4	SFPM	7.7295	31.1945	70.0980	7.6314	31.2881	70.2453
	FEM	7.7234	31.0975	69.6109	7.6251	31.1904	69.7559
0.6	SFPM	6.4667	26.6014	59.6076	6.2087	26.8534	60.0036
	FEM	6.4631	26.5453	59.3230	6.2050	26.7957	59.7141
0.8	SFPM	4.9201	21.3485	47.5048	4.3536	21.9447	48.4357
	FEM	4.9184	21.3218	47.3703	4.3515	21.9142	48.2878