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首页> 外文期刊>Composites: mechanics, computations, applications >FREE VIBRATION ANALYSIS OF NON-UNIFORM SANDWICH BEAMS WITH ELASTIC CORE USING THE ELEMENT-FREE GALERKIN METHOD
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FREE VIBRATION ANALYSIS OF NON-UNIFORM SANDWICH BEAMS WITH ELASTIC CORE USING THE ELEMENT-FREE GALERKIN METHOD

机译：弹性无心夹心梁自由振动的无单元伽辽金法

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摘要

In this paper, free vibration analysis of non-uniform sandwich beams with an elastic core is investigated. For the analysis, the element-free Galerkin (EFG) method and Galerkin formulation for two-dimensional elasticity problems are considered. The EFG method is one of the popular meshless methods. The penalty method is used for modeling the interface between the face sheets and the core in the sandwich beam. To free vibration analysis of non-uniform beams, a mathematical model has been presented. Using the similarity of materials for the face sheets and core, applicability of the model is tested. To show the accuracy of the presented mathematical modeling in respect to the numerical method, the results for uniform and non-uniform elastic beams have been compared with investigations. Then, the first ten natural frequencies of a non-uniform sandwich beam with an elastic core using the EFG and finite element methods has been calculated, good agreement has been demonstrated.
机译：本文研究了具有弹性芯的非均匀夹层梁的自由振动分析。为了进行分析，考虑了用于二维弹性问题的无元素Galerkin（EFG）方法和Galerkin公式。 EFG方法是流行的无网格方法之一。惩罚方法用于对面板和夹层梁中的芯之间的界面进行建模。为了释放非均匀梁的振动分析，提出了一个数学模型。使用面板和核心材料的相似性，测试模型的适用性。为了显示所提出的数学模型相对于数值方法的准确性，已经将均匀和非均匀弹性梁的结果与研究进行了比较。然后，利用EFG和有限元方法计算了具有弹性芯的非均匀夹心梁的前十个固有频率。

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