Flexural Free Vibrations of Multistep Nonuniform Beams

Table 4

Calculation results of natural frequencies for Case 4.

Methods	Present (rad/s)	1D-FEM (rad/s)	2D-FEM (rad/s)	Relative error (%)
				1D-FEM	2D-FEM
1st	9.5349	9.5398	9.5316	0.0511	−0.0350
2nd	38.3529	38.3716	38.3029	0.0487	−0.1303
3rd	86.2536	86.2964	85.9980	0.0495	−0.2964