Dynamic Finite Element Analysis of Bending-Torsion Coupled Beams Subjected to Combined Axial Load and End Moment

Table 1

DFE fundamental frequencies (Hz) for cantilevered (C-F) boundary condition.

Force (MN)	End moment ()
	(MN⋅m)		(MN⋅m)
	DFE; (1 element)	Analytical [23]	DFE; (5 elements)	FEM; (5 elements)	FEM; (40 elements)
0	2.556	2.556	2.237	2.345	2.234
0.62	2.884	2.884	2.617	2.710	2.614
1.23	3.169	3.169	2.935	3.082	2.934
1.85	3.422	3.422	3.213	3.306	3.213