General Analysis of Timoshenko Beams on Elastic Foundation

Table 1

Values of frequency parameters of the first three vibration modes.

Parameters			Case	P-P beams			C-P beams
			Mode
0	0	0	Ritz	2.867	4.922	6.445	3.26	5.061	6.483
			RDM	2.866	4.922	6.445	3.26	5.061	6.483
0.6	0	0	Ritz	1.861	4.391	5.927	2.706	4.575	5.979
			RDM	1.863	4.384	5.923	2.706	4.575	5.979
0.6	0.6π^4	0	Ritz	2.866	4.544	6.011	3.237	4.712	6.042
			RDM	2.866	4.538	5.988	3.237	4.712	6.042
0.6	0.6π^4	π^2	Ritz	3.555	5.299	6.796	3.797	5.408	6.803
			RDM	3.555	5.294	6.777	3.797	5.408	6.803