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

Table 4

Comparison of the first 10 natural frequencies under different boundary conditions (unit Hz).

F-E		F-S		S-S		C-C
Present	FEM	Present	FEM	Present	FEM	Present	FEM
48.75	48.72	50.93	50.89	136.97	136.88	80.72	80.69
109.41	109.44	174.91	174.77	138.58	138.49	220.81	220.75
161.26	161.17	179.35	179.20	300.25	300.05	226.21	226.15
171.59	171.50	338.59	338.31	305.57	305.35	392.62	392.53
306.96	306.79	381.96	381.60	562.18	562.10	446.22	446.07
319.99	319.83	564.08	563.96	578.24	577.75	731.20	730.97
435.21	435.02	654.30	653.61	580.36	579.85	737.84	737.61
505.58	505.15	656.71	655.98	758.26	758.15	758.69	758.62
590.91	590.70	1001.47	1000.20	920.42	919.51	1099.55	1099.10
763.23	762.25	1014.30	1013.00	950.10	949.33	1128.81	1128.30