Benchmark Solution for Free Vibration of Moderately Thick Functionally Graded Sandwich Sector Plates on Two-Parameter Elastic Foundation with General Boundary Conditions

Table 4

Comparison of frequency parameters ()^1/2 for Type 1-1 (1-0-0) circular sector plate with different boundary conditions and some values of , , and = 0.005.

	Source of result	Mode number
		1	2	3	4	5	6
		CCC
30	DQM [39]	161.6895	257.7845	358.6257	368.9981	496.3537	515.3727
	Present	161.6245	257.6316	358.4922	368.7320	495.9707	515.0906
60	DQM [39]	64.9682	124.6827	127.8239	201.0241	209.1647	215.3604
	Present	64.9699	124.6689	127.8671	200.9819	209.0478	215.2143
		SSS
30	DQM [39]	85.1070	158.8688	239.4427	248.8392	355.3409	371.3462
	Present	84.1225	157.9932	238.6164	247.5275	354.7307	370.1041
60	DQM [39]	34.6846	81.4720	84.4201	145.3033	152.9561	158.2822
	Present	34.2925	81.1683	84.1225	144.8008	152.4740	157.8930
		SFS
45	DQM [39]	19.2254	63.5700	70.7899	122.8581	152.5376	156.7239
	Present	19.0321	63.2629	70.7192	122.3353	152.2428	156.3877
90	DQM [39]	4.7166	18.9667	30.4039	41.1333	63.3673	70.7733
	Present	4.6654	18.9548	30.2890	41.0787	63.2629	70.7610
		SCS
45	DQM [39]	60.1866	120.7868	144.6854	197.7130	242.6680	261.5216
	Present	59.8481	120.3583	144.5406	197.1593	242.4294	261.2852
90	DQM [39]	30.0711	59.9173	72.8029	98.2194	120.4645	132.3217
	Present	29.9584	59.8491	72.6442	98.1400	120.3593	132.0831