Out-of-Plane Vibration of Curved Uniform and Tapered Beams with Additional Mass

Table 6

Nondimensional natural frequencies of unsymmetrical tapered curved beams with C-C end conditions.

Mode
	Bare	Loaded	Bare	Loaded	Bare	Loaded	Bare	Loaded
1	8.51	4.76	8.47	4.75	8.40	4.74	8.29	4.72
2	24.16	24.08	24.00	23.73	23.73	23.13	23.33	22.32
3	48.04	38.59	47.73	38.78	47.17	39.05	46.34	39.34
4	79.94	79.44	79.42	77.59	78.48	74.85	77.09	71.48

Loaded with additional mass (10 kg) at midpoint of the beam (θ = 90°).