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

Table 8

The first eight modes’ frequencies for the linear and parabolic soil distribution in S-S beam case.

Parabolic
10	Ref. [17]		3,2150	6,2926	9,4276	12,5675	15,7086	18,8499	21,9914	25,1329
	Present work		3,2042	6,2078	9,1421	11,8955	14,4077	16,6270	18,5079	20,0122
			3,2148	6,2916	9,4241	12,5594	15,6927	18,8226	21,9480	25,0681
100	Ref. [17]		3,7212	6,3755	9,4526	12,5781	15,7140	18,8530	21,9933	25,1342
	Present work		3,7090	6,2928	9,1691	11,9077	14,4146	16,6315	18,5112	20,0148
			3,7206	6,3744	9,4491	12,5700	15,6982	18,8257	21,9499	25,0694
1000	Ref. [17]		5,6788	7,0676	9,6923	12,6824	15,7679	18,8843	22,0131	25,1474
	Present work		5,6600	6,9987	9,4269	12,0285	14,4832	16,6763	18,5438	20,0406
			5,6772	7,0660	9,6888	12,6744	15,7521	18,8571	21,9697	25,0827