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

Table 3

The out-of-plane nondimensional natural frequency parameters of uniform and circularly curved beams with circular cross-sections under C-C end condition.

	Mode	Present study	Viola et al. [8]	Malekzadeh and Setoodeh [17]	Piovan et al. [21]	Ni et al. [24]
60°	1	19.610	19.40190	19.398	19.442
	2	55.070	54.02958	54.014	54.093
	3	108.947	105.64828	105.61	105.707
	4	180.868	172.77355
120°	1	4.490	4.451450	4.4515	4.471
	2	12.970	12.82629	12.825	12.885
	3	26.300	25.98937	25.984	26.064
	4	44.205	43.57053
180°	1	1.8256	1.804340	1.8048	1.817	1.8108
	2	5.2687	5.197995	5.1984	5.239	5.2359
	3	11.0489	10.91819	10.918	10.984	11.0046
	4	18.9317	18.72548			18.8837