Free In-Plane Vibration Analysis of Circular, Annular, and Sector Plates Using Isogeometric Approach

Table 4

Comparison of the first nine frequency parameters for circular sector plate with various boundary conditions.

BC	(°)	Method	Mode sequence number
			1	2	3	4	5	6	7	8	9
CCC	60	ANSYS	3.4710	3.5239	4.2842	5.3930	5.5591	5.8322	5.8813	5.9433	7.0236
		Present	3.4716	3.5246	4.2847	5.3941	5.5601	5.8331	5.8821	5.9443	7.0243
	90	ANSYS	2.7035	2.9895	3.4421	4.1459	4.5198	4.5668	4.9401	5.1551	5.4300
		Present	2.7039	2.9900	3.4423	4.1466	4.5202	4.5676	4.9407	5.1560	5.4306
	180	ANSYS	1.8735	2.3630	2.5835	2.8205	3.1101	3.1957	3.6007	3.7763	3.8302
		Present	1.8737	2.3632	2.5836	2.8207	3.1103	3.1961	3.6010	3.7768	3.8305
	270	ANSYS	1.6512	1.9271	2.2385	2.5417	2.6073	2.6320	2.9348	3.0282	3.2372
		Present	1.6512	1.9274	2.2387	2.5419	2.6074	2.6324	2.9351	3.0285	3.2375
CFC	60	ANSYS	2.0725	2.3418	2.9577	3.9833	4.4296	4.4502	4.7109	4.9565	5.2712
		Present	2.0727	2.3420	2.9579	3.9835	4.4303	4.4507	4.7113	4.9568	5.2713
	90	ANSYS	1.5530	1.6721	2.1934	2.7998	3.2069	3.4231	3.8270	4.0418	4.0815
		Present	1.5532	1.6723	2.1934	2.8000	3.2073	3.4234	3.8274	4.0421	4.0817
	180	ANSYS	0.7003	1.1850	1.4080	1.6112	1.8608	1.9677	2.4200	2.4398	2.6848
		Present	0.7003	1.1851	1.4081	1.6112	1.8609	1.9677	2.4201	2.4400	2.6849
	270	ANSYS	0.3983	0.7898	1.0803	1.3769	1.4061	1.4591	1.7509	1.7527	2.0124
		Present	0.3983	0.7898	1.0803	1.3770	1.4061	1.4592	1.7510	1.7527	2.0125
FCF	60	ANSYS	0.8416	1.5705	1.6204	2.6790	3.1841	3.5447	3.7060	3.8662	4.0591
		Present	0.8417	1.5707	1.6204	2.6791	3.1844	3.5449	3.7061	3.8663	4.0594
	90	ANSYS	1.0527	1.5126	1.7130	2.5865	2.8986	3.1485	3.1677	3.6040	4.0099
		Present	1.0528	1.5127	1.7131	2.5867	2.8987	3.1486	3.1679	3.6041	4.0100
	180	ANSYS	1.3000	1.3378	1.6175	2.0817	2.3425	2.4921	2.6675	3.1048	3.1080
		Present	1.3001	1.3379	1.6176	2.0818	2.3427	2.4922	2.6676	3.1050	3.1081
	270	ANSYS	1.2704	1.4099	1.4850	1.7801	2.1763	2.2147	2.2991	2.5909	2.7198
		Present	1.2705	1.4099	1.4850	1.7799	2.1765	2.2146	2.2992	2.5910	2.7200