Effect of Dead Load on Dynamic Characteristics of Rotating Timoshenko Beams

Table 2

Comparison of the first three natural frequencies under different dead loads.

Dead load	1st mode	2nd mode	3rd mode
0 N
Test	115.56	700.46	1907.91
Present theory	112.71	706.36	1977.84
Error (%)	2.53	0.84	3.54
10 N
Test	116.30	702.53	1911.46
Present theory	114.70	708.80	1979.73
Error (%)	1.39	0.88	3.45
15 N
Test	118.82	703.40	1912.67
Present theory	117.10	711.83	1982.09
Error (%)	1.47	1.18	3.50
20 N
Test	120.17	704.51	1917.10
Present theory	120.33	716.05	1985.39
Error (%)	0.13	1.61	3.44
25 N
Test	121.93	706.46	1923.12
Present theory	124.28	721.42	1989.62
Error (%)	1.89	2.07	3.34
30 N
Test	122.97	708.32	1927.85
Present theory	128.83	727.90	1994.77
Error (%)	4.55	2.69	3.35
35 N
Test	127.54	710.60	1933.23
Present theory	133.87	735.47	2000.84
Error (%)	4.73	3.38	3.38
40 N
Test	133.08	714.68	1944.04
Present theory	139.27	744.06	2007.82
Error (%)	4.44	3.95	3.18