Free Vibration Analysis of Rotating Pretwisted Functionally Graded Sandwich Blades

Table 3

Comparison of nondimensional frequency parameters for the first six modes of homogeneous material blade (, ).

θ	Mode
		1st	2nd	3rd	4th	5th	6th	1st	2nd	3rd	4th	5th	6th
0°	Present	3.4205	20.8483	21.3316	59.6783	62.2910	65.4353	3.4757	8.3462	20.9625	26.6650	30.1067	43.5409
	ANSYS	3.4223	20.8230	21.3590	59.8793	62.2508	65.3690	3.4814	8.3793	21.0993	26.7267	30.2352	43.5819
	Ref [15]	3.4140	21.2200	21.3600	60.1200	61.8200	66.6800	3.4620	8.4870	21.2900	27.4700	30.9800	43.5200
15°	Present	3.4194	20.7540	22.0861	58.1917	65.4872	68.4144	3.4479	10.4233	20.4526	26.6975	31.5336	44.6423
	ANSYS	3.4225	20.7177	21.9608	58.8524	64.5829	68.0114	3.4540	10.3394	20.3668	26.6264	31.3218	44.4679
	Ref [15]	3.4150	20.6700	22.2800	58.1500	65.2900	69.3200	3.4450	10.4000	20.5700	27.3500	32.1100	44.5800
30°	Present	3.4035	19.2320	25.4184	54.4781	70.6496	76.3746	3.4030	14.8939	18.9948	27.1437	35.2177	46.9877
	ANSYS	3.4153	18.9950	25.0621	55.7643	71.6994	75.9291	3.3794	14.3509	18.4374	26.7434	34.0572	45.9808
	Ref [15]	3.4170	19.0000	25.1500	55.9500	71.4000	76.5700	3.3970	14.3300	18.6900	27.3900	34.9000	46.5200
45°	Present	3.4163	17.4172	29.7580	54.0239	80.8963	87.6963	3.3387	20.0628	17.1876	28.2967	40.1453	48.6332
	ANSYS	3.4176	16.9599	29.4234	53.3063	79.0586	87.0233	3.2668	18.4291	16.0421	27.1718	37.3254	46.1459
	Ref [15]	3.4200	16.9900	29.2000	53.5800	78.8200	87.0500	3.3230	18.3200	16.3900	27.7100	38.1700	47.3000