Flexural Free Vibrations of Multistep Nonuniform Beams

Table 3

Calculation results of natural frequencies for Case 3.

Methods	Present (rad/s)	1D-FEM (rad/s)	2D-FEM (rad/s)	Relative error (%)
				1D-FEM	2D-FEM
1st	4.2234	4.2229	4.2232	−0.0120	−0.0047
2nd	22.8615	22.8680	22.8406	0.0283	−0.0914
3rd	61.3271	61.3522	61.1800	0.0410	−0.2399