A Discrete Model for Nonlinear Vibration of Beams Resting on Various Types of Elastic Foundations

Table 3

Comparison of the first three modes’ nondimensional nonlinear frequency , in S-S beam, for various values of the nondimensional Winkler soil stiffness.

SIMPLY SUPPORTED BEAM
λ	0,1
		Ref. [14]	Error %		Ref. [14]	Error %		Ref. [14]	Error %
0,2	1,0026	1,0034	0,0843	1,0014	1,0019	0,0494	1,0003	1,0003	0,0044
0,4	1,0102	1,0135	0,3278	1,0056	1,0075	0,1876	1,0010	1,0014	0,0377
0,6	1,0228	1,0301	0,7128	1,0126	1,0167	0,4053	1,0023	1,0031	0,0799
0,8	1,0401	1,0529	1,2144	1,0223	1,0295	0,7036	1,0041	1,0054	0,1310
1	1,0620	1,0814	1,7928	1,0346	1,0457	1,0649	1,0064	1,0085	0,2110
2	1,2294	1,2924	4,8729	1,1319	1,1708	3,3188	1,0253	1,0334	0,7885
3	1,4666	1,5795	7,1497	1,2779	1,3519	5,4771	1,0560	1,0736	1,6424