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Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory

机译:基于精细剪切变形理论的功能梯度夹层梁振动与屈曲的有限元模型

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摘要

Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory is presented. The core of sandwich beam is fully metal or ceramic and skins are composed of a functionally graded material across the depth. Governing equations of motion and boundary conditions are derived from the Hamilton’s principle. Effects of power-law index, span-to-height ratio, core thickness and boundary conditions on the natural frequencies, critical buckling loads and load–frequency curves of sandwich beams are discussed. Numerical results show that the above-mentioned effects play very important role on the vibration and buckling analysis of functionally graded sandwich beams.
机译:提出了基于精细剪切变形理论的功能梯度夹层梁振动与屈曲的有限元模型。夹层梁的核心是全金属或陶瓷,而表层由功能性渐变深度的材料组成。运动的控制方程式和边界条件是根据汉密尔顿原理得出的。讨论了幂律指数,跨高比,铁心厚度和边界条件对夹层梁的固有频率,临界屈曲载荷和载荷-频率曲线的影响。数值结果表明,上述影响在功能梯度夹层梁的振动和屈曲分析中起着非常重要的作用。

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