Effect of Dead Load on Dynamic Characteristics of Rotating Timoshenko Beams

Table 4

Comparison of the first four natural frequencies with different rotating speed.

Rotating speed	Beam theory numerical	1st mode	2nd mode	3rd mode	4th mode
0 rad/s	Timoshenko (error)	112.61 (0.02%)	702.03 (0.12%)	1949.37 (0.29%)	3774.58 (0.54%)
	Euler (error)	112.71 (0.07%)	706.36 (0.49%)	1977.84 (1.16%)	3876.00 (2.13%)
	FEM	112.63	702.89	1955.13	3795.08
200 rad/s	Timoshenko (error)	117.85 (0.02%)	706.67 (0.13%)	1953.95 (0.30%)	3779.57 (0.53%)
	Euler (error)	117.95 (0.07%)	710.99 (0.49%)	1982.40 (1.16%)	3880.70 (2.13%)
	FEM	117.87	707.54	1959.74	3799.88
400 rad/s	Timoshenko (error)	132.28 (0.01%)	720.39 (0.13%)	1967.64 (0.30%)	3793.75 (0.54%)
	Euler (error)	132.37 (0.06%)	724.71 (0.47%)	1996.03 (1.14%)	3894.78 (2.11%)
	FEM	132.29	721.30	1973.50	3814.23