Analysis of Beam Vibrations on Partial Elastic Foundation Using Adomian Decomposition Method

Abstract

In this study, the natural frequencies of beams partially supported on elastic foundations are investigated. In the analysis, Euler-Bernoulli beam theory and Winkler foundation model are used. Adomian Decomposition Method (ADM) is used for the free vibration analysis for the beams considered. Free vibration modes are determined according to obtained results and first few modes are presented in tables and figures for beams with different support conditions. In the last chapter, proposed method and obtained results are discussed.