A Semianalytical Method for Nonlinear Vibration of Euler-Bernoulli Beams with General Boundary Conditions

Table 3

Normalized frequency ratio ${\omega }_n/{\omega }_L$ for a beam simply supported at one end and clamped at the other end.

$A$	$N=9$	$N=11$	$N=13$	Mei [28]
0.1	1.0006	1.0006	1.0006	1.0006
0.2	1.0026	1.0026	1.0026	1.0026
0.4	1.0103	1.0103	1.0103	1.0106
0.6	1.0230	1.0231	1.0231	1.0238
0.8	1.0404	1.0406	1.0407	1.0418
1.0	1.0624	1.0627	1.0628	1.0647
1.5	1.1346	1.1353	1.1355	1.1404
2.0	1.2272	1.2283	1.2286	1.2385