Flexural Vibration Analysis of Nonuniform Double-Beam System with General Boundary and Coupling Conditions

Table 1

The first six nondimensional frequency for the uniform double-beams with different boundary conditions (, ).

Boundary conditions		Nondimensional frequency
Beam 1	Beam 2	1	2	3	4	5	6
S-S	S-S	9.8683	21.7345	39.4577	43.9572	88.7208	90.8309
		9.8696^a	21.7350	39.4784	43.9721	88.8265	90.9128
C-C	C-C	22.3011	29.5464	61.4070	64.4416	120.1731	121.9079
		22.3733^a	29.5900	61.6728	64.6416	120.9034	122.4444
C-F	C-F	3.5113	19.6809	21.9986	29.3130	61.5645	64.5643
		3.5160^a	19.6815	22.0345	29.3346	61.6972	64.6649
S-S	C-F	8.7062	18.5912	25.7651	42.4830	62.6190	90.1489
		10.3911^b	20.2322	28.4861	42.4398	63.6832	89.9532
S-S	C-C	16.2054	26.5768	42.3472	62.4802	90.1361	120.5933
		15.1683^b	29.4314	42.1633	63.6958	89.9281	121.3566
C-C	C-F	10.8006	22.9898	29.1021	61.7083	64.3423	120.5406
		10.8090^a	23.0286	29.1356	61.8652	64.4954	120.9652

^aResults from Ref. [23]. ^bResults from FEM with 500 elements.