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

Table 9

Fundamental frequencies of symmetrical tapered beams under C-C end condition.

θ
	Bare	Loaded	Bare	Loaded	Bare	Loaded	Bare	Loaded
20°	196.753	94.883	210.796	101.640	224.883	108.433	239.017	115.266
40°	48.603	23.436	52.149	25.144	55.701	26.858	59.261	28.580
60°	21.205	10.222	22.801	10.992	35.411	11.764	25.997	12.538
80°	11.651	5.613	12.562	6.053	13.471	6.493	14.380	6.934
100°	7.261	3.495	7.851	3.780	8.439	4.065	9.025	4.350
120°	4.903	2.357	5.315	2.557	5.726	2.756	6.136	2.955
140°	3.501	1.680	3.805	1.826	4.108	1.974	4.409	2.121
160°	2.608	1.249	2.840	1.361	3.071	1.473	3.301	1.585
180°	2.008	0.959	2.189	1.047	2.370	1.135	2.551	1.222

Loaded with additional mass (50 kg) at midpoint of the beam.