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

Table 6

Comparison of first modes nondimensional nonlinear frequency , for various values of the nondimensional Winkler soil stiffness for a C-C beam.

Clamped-clamped beam
	0,1
		Ref. [14]	Error %		Ref. [14]	Error %		Ref. [14]	Error %
0,2	1,0013	1,0009	−0,0397	1,0011	1,0008	−0,0314	1,0005	1,0003	−0,0161
0,4	1,0052	1,0037	−0,1475	1,0044	1,0032	−0,1244	1,0018	1,0013	−0,0541
0,6	1,0116	1,0082	−0,3391	1,0100	1,0071	−0,2859	1,0041	1,0029	−0,1236
0,8	1,0206	1,0146	−0,5879	1,0177	1,0125	−0,5110	1,0073	1,0052	−0,2137
1	1,0320	1,0227	−0,9046	1,0275	1,0195	−0,7829	1,0115	1,0081	−0,3330
2	1,1224	1,0876	−3,1963	1,1058	1,0756	−2,8113	1,0451	1,0320	−1,2670
3	1,2587	1,1870	−6,0403	1,2253	1,1625	−5,4062	1,0988	1,0705	−2,6458