A Unified Spectro-Geometric-Ritz Method for Vibration Analysis of Open and Closed Shells with Arbitrary Boundary Conditions

Table 12

First four frequency parameters for an open spherical shell with various boundary conditions.

Boundary conditions	Ref. [37]				Present
	1	2	3	4	1	2	3	4
F-F-F-S	18.0503	22.6720	48.7319	65.5055	19.2022	22.7991	50.2213	66.8198
F-F-S-S	45.3203	61.1681	139.886	155.410	46.8427	61.6499	142.512	156.769
F-S-S-S	381.345	388.913	713.714	756.822	389.683	395.471	727.650	768.011
F-F-F-C	18.8440	23.4206	49.3404	68.0959	20.0030	23.5524	50.8671	69.2686
F-F-C-C	46.5172	63.1538	144.447	158.654	48.0751	63.6089	147.277	159.850
F-C-C-C	396.124	408.000	756.727	779.639	403.649	415.983	771.244	789.339
S-S-S-S	1528.82	1542.01	1548.17	1601.85	1528.90	1542.11	1548.27	1601.91
S-S-S-C	1531.94	1542.28	1549.23	1603.29	1532.07	1542.39	1549.35	1603.37
S-S-C-C	1534.26	1543.64	1549.31	1604.18	1534.43	1543.59	1549.43	1604.27
S-C-C-C	1537.73	1543.64	1550.42	1605.67	1537.95	1543.77	1550.55	1605.78
C-C-C-C	1540.15	1544.85	1550.50	1606.56	1541.18	1546.99	1553.16	1606.57