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

Table 9

The 3 first modes’ frequencies for the linear and parabolic soil distribution in C-C beam case.

			Linear			Parabolic
	1	Ref. [17]		4,7322	7,8537	10,9958	4,7323	7,8537	10,9958
Present work			4,2684	7,0143	9,6267	4,2685	7,0143	9,6267
			4,6849	7,7746	10,8833	4,6850	7,7747	10,8833
10	Ref. [17]		4,7512	7,8579	10,9973	4,7522	7,8581	10,9974
	Present work		4,2799	7,0169	9,6277	4,2805	7,0170	9,6278
			4,7029	7,7786	10,8848	4,7039	7,7788	10,8848
100	Ref. [17]		4,9297	7,8993	11,0125	4,9391	7,9013	11,0132
	Present work		4,3897	7,0427	9,6378	4,3953	7,0437	9,6381
			4,8730	7,8180	10,8992	4,8820	7,8199	10,8999
1000	Ref. [17]		6,1172	8,2815	11,1611	6,1665	8,2988	11,1677
	Present work		5,1964	7,2860	9,7362	5,2301	7,2957	9,7398
			6,0167	8,1825	11,0407	6,0643	8,1989	11,0469