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

Table 7

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

Linear
λ
10	Ref. [17]		3,2118	6,2922	9,4275	12,5675	15,7085	18,8499	21,9914	25,1329
	Present work		3,2010	6,2074	9,1420	11,8954	14,4077	16,6270	18,5079	20,0122
			3,2116	6,2912	9,4240	12,5594	15,6927	18,8225	21,9479	25,0681
100	Ref. [17]		3,6999	6,3720	9,4515	12,5777	15,7138	18,8529	21,9933	25,1342
	Present work		3,6884	6,2895	9,1681	11,9073	14,4144	16,6313	18,5111	20,0147
			3,6993	6,3709	9,4481	12,5696	15,6980	18,8256	21,9499	25,0694
1000	Ref. [17]		5,6185	7,0420	9,6828	12,6783	15,7657	18,8831	22,0123	25,1469
	Present work		5,6021	6,9748	9,4177	12,0242	14,4808	16,6747	18,5426	20,0396
			5,6171	7,0406	9,6794	12,6702	15,7500	18,8558	21,9690	25,0822