Free Vibration Characteristics of Moderately Thick Spherical Shell with General Boundary Conditions Based on Ritz Method

Table 2

Comparison of frequency for the annular spherical shell.

n	m	F–F		F–C		C–F		C–C
		Present	FEM	Present	FEM	Present	FEM	Present	FEM
2	1	58.34	58.37	335.44	335.69	158.55	158.70	1067.35	1068.10
	2	157.40	157.67	977.91	978.15	932.69	932.60	1335.74	1337.50
	3	912.75	912.59	1389.15	1391.20	1336.83	1339.10	2150.97	2158.90
	4	996.66	996.95	1856.99	1858.60	1562.82	1564.30	2701.76	2707.30
	5	1455.59	1456.90	2251.48	2259.40	2132.67	2145.30	2992.14	3001.10
3	1	160.40	160.48	384.62	385.04	176.77	176.88	1031.73	1032.30
	2	385.48	386.04	1068.80	1069.70	1004.08	1004.50	1421.22	1423.40
	3	1065.40	1066.10	1515.69	1518.30	1453.91	1456.30	2232.02	2240.20
	4	1380.75	1382.20	2111.14	2113.00	1788.38	1789.70	3024.52	3032.60
	5	1576.96	1578.60	2354.72	2363.20	2282.17	2290.50	3351.62	3372.60
4	1	294.15	294.35	621.79	622.71	297.93	298.13	1055.37	1055.90
	2	636.24	637.31	1153.80	1155.10	1073.02	1073.80	1521.82	1524.40
	3	1174.39	1175.80	1664.41	1667.90	1571.91	1574.60	2333.59	2342.00
	4	1713.64	1717.30	2483.20	2490.80	2155.14	2156.90	3283.18	3295.50
	5	1960.10	1961.80	2596.72	2601.80	2398.24	2406.60	3483.08	3499.60
5	1	453.10	453.55	888.92	890.55	454.66	455.10	1128.99	1129.70
	2	905.27	907.10	1276.79	1278.80	1172.80	1173.90	1645.58	1648.50
	3	1325.75	1328.00	1840.65	1845.10	1714.25	1717.40	2464.25	2472.80
	4	1908.15	1912.73	2664.28	2673.60	2545.11	2553.10	3497.85	3518.60
	5	2509.94	2513.10	3175.94	3182.60	2595.33	2598.80	3781.52	3790.10