Free vibration analysis of sandwich beam with FG core using the element free Galerkin method

In this paper, free vibration analysis of sandwich beams with functionally graded material as core material is investigated. For the analysis, the element free Galerkin method and Galerkin formulation for two dimensional elasticity problems are considered. Penalty method is used for modeling of interface between the face sheets and the core in the sandwich beam. Using the similarity of materials for the face sheets and core, applicability of the model is tested. The first ten natural frequencies of sandwich beam with elastic core are derived. The results have shown good agreement with those obtained by the finite element method. Finally, the natural frequencies of sandwich beam with functionally graded core are obtained and discussed.