A Hybrid Finite Element-Fourier Spectral Method for Vibration Analysis of Structures with Elastic Boundary Conditions

Table 1

Effect of the division ratio of the two computational domains on the modal frequencies of the beams structure with clamped-clamped boundary condition.

Mode order	, = 20, = 50
(m)	Analytical results	1.0	0.8	0.6	0.4	0.2	0.0
(m)		0.0	0.2	0.4	0.6	0.8	1.0
1	1.5056	1.5056	1.5056	1.5056	1.5056	1.5056	1.5055
2	2.4998	2.4998	2.4997	2.4998	2.4997	2.4998	2.4996
3	3.5000	3.5000	3.5000	3.5000	3.5000	3.5000	3.5000
4	4.5000	4.5000	4.5000	4.5000	4.5000	4.5000	4.4999
5	5.5000	5.5000	5.4999	5.4999	5.4999	5.4999	5.5000
6	6.5000	6.5000	6.4998	6.5000	6.5000	6.4998	6.5001
7	7.5000	7.5000	7.4999	7.4998	7.4999	7.4999	7.5002
8	8.5000	8.5000	8.5000	8.4996	8.4997	8.5001	8.5003
9	9.5000	9.5000	9.4999	9.5000	9.5000	9.5000	9.5004
10	10.5000	10.4999	10.4993	10.4992	10.4992	10.4995	10.5007