Analytical Solution for Free Vibration Analysis of Beam on Elastic Foundation with Different Support Conditions

Table 2

Variation of frequency factor, 𝛾, with relative stiffness, 𝜆, for a CC beam on elastic foundation.

	𝛾1	𝛾2	𝛾3
𝑁𝑟=0.25
𝜆=1	3.39742898	4.32815705	5.16088024
𝜆=10	4.05721417	5.52373153	6.68428571
𝜆=100	4.66987707	6.68497843	8.36140368
𝜆=1000	6.15541347	7.87417668	9.94633264
𝑁𝑟=0.5
𝜆=1	3.33994125	4.29375653	5.14012431
𝜆=10	3.99112373	5.48024811	6.65690121
𝜆=100	4.60834095	6.63472888	8.32680496
𝜆=1000	6.12479804	7.82851855	9.90820057
𝑁𝑟=0.75
𝜆=1	3.27929840	4.25850809	5.11911832
𝜆=10	3.92148631	5.43569919	6.62918805
𝜆=100	4.54408497	6.58329012	8.29178517
𝜆=1000	6.09362560	7.78201148	9.86962997