A General Fourier Formulation for In-Plane and Out-of-Plane Vibration Analysis of Curved Beams

Table 7

Comparison of the first 10 natural frequencies of the S-shaped structure under different boundary conditions.

C-C		S-S		F-F
Present	FEM	Present	FEM	Present	FEM
10.33	10.33	4.50	4.50	10.28	10.28
10.70	10.70	4.74	4.74	10.61	10.61
21.58	21.58	30.78	30.77	22.12	22.11
43.81	43.82	31.41	31.39	42.76	42.74
50.95	50.97	60.82	60.78	51.32	51.30
80.73	80.73	62.26	62.22	79.12	79.05
82.24	82.24	104.05	104.00	83.33	83.26
127.44	127.47	105.13	105.09	126.08	126.01
130.64	130.66	144.78	144.69	131.29	131.21
169.41	169.43	146.14	146.04	167.81	167.67