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

Table 2

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	11.5923	39.4576	41.2919	88.7207	90.5930
		9.8649^a	12.1168	39.4240	41.8523	88.5772	91.0371
C-C	C-C	22.3008	23.3205	61.4048	62.8443	120.1720	121.8760
		22.3421^a	23.6691	61.4904	63.3157	120.2885	122.2928
C-F	C-F	3.5113	5.3243	21.9985	24.5854	61.5643	63.8939
		3.5148^a	5.7683	22.0091	25.3841	61.5438	64.5943
S-S	C-F	4.2204	10.9595	22.9299	40.6538	62.3415	89.9755
		4.8060^a	10.8866	23.8391	40.5768	63.1366	89.7648
S-S	C-C	11.0137	22.6417	40.6693	61.8348	89.9830	120.5744
		10.9830^a	23.0436	40.6083	62.4392	89.7773	121.3189
C-C	C-F	4.2334	22.2624	23.6115	61.6101	63.1334	120.5412
		4.7805^a	22.3691	24.3769	61.6224	63.8560	120.4110

^aResults from Ref. [23].