Flexural-Torsional Vibration of Thin-Walled Beams Subjected to Combined Initial Axial Load and End Bending Moment: Application to the Design of Saw Tooth Blades

Table 3

Natural frequency f of the beam with laterally fixed ends by ANSYS mechanical APDL and Approach 2.

e	0			h			2h
F0	APDL	App. 2 equation (30)	Dev. (%)	APDL	App. 2 equation (30)	Dev. (%)	APDL	App. 2 equation (30)	Dev. (%)
−600	19.94	19.82	0.61	19.66	19.53	0.68	18.81	18.63	0.93
−300	22.41	22.43	0.12	22.35	22.37	0.11	22.16	22.18	0.06
0	24.61	24.78	0.67	24.61	24.78	0.67	24.61	24.78	0.67
300	26.62	26.92	1.12	26.57	26.86	1.10	26.42	26.70	1.07
600	28.47	28.90	1.50	28.29	28.70	1.45	27.72	28.09	1.34
900	30.20	30.75	1.83	29.81	30.33	1.74	28.59	29.02	1.49
1200	31.82	32.50	2.13	31.16	31.78	1.99	29.08	29.53	1.56
1500	33.36	34.16	2.40	32.37	33.08	2.19	29.20	29.65	1.52
1800	34.82	35.74	2.65	33.46	34.25	2.36	28.97	29.38	1.39
2100	36.21	37.26	2.88	34.43	35.30	2.50	28.39	28.71	1.14