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带裂纹石墨烯增强金属泡沫梁的振动特性研究

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分析了带裂纹功能梯度石墨烯增强金属泡沫梁的自由振动.采用Timoshenko梁理论进行建模,裂纹由无质量扭转弹簧模拟,利用Halpin-Tsai微观力学模型预测材料的有效性能.通过哈密顿原理,得到了带裂纹功能梯度石墨烯增强金属泡沫(FG-GPLRMF)梁的运动方程及其边界条件.采用微分变换法分析带裂纹FG-GPLRMF梁的自由振动.结果表明,带裂纹FG-GPLRMF梁的振动特性受到石墨烯几何尺寸、孔隙类型和石墨烯分布的影响显著.
Study on Vibration Characteristics of Cracked Metal Foam Beams Reinforced with Graphene
The free vibration of a cracked functionally graded graphene reinforced metal foam beams is analyzed in this paper. Modeling was carried out with Timoshenko beam theory, cracks were simulated by mass-free elastic torsion springs, and material effectiveness was predicted with Halpin-Tsai micro-mechanical model. The motion equation and boundary conditions of a cracked functionally graded gra-phene reinforced metal foam (FG-GPLRMF) beams are obtained by Hamilton's principle. Free vibration of FG-GPLRMF beams is analyzed by differential transformation method. The results show that the vi-bration characteristics of FG-GPLRMF beams are influenced by the geometrical size of graphene, the pore type and the distribution of graphene platelet.

metal foam beamgraphene reinforcedfree vibrationcrackdifferential transformation method

石兴东、程鹏、张宇飞

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沈阳航空航天大学航空宇航学院,沈阳 110136

广西大学土木建筑工程学院,南宁 530004

金属泡沫梁 石墨烯增强 自由振动 裂纹 微分变换法

国家自然科学基金

12072201

2024

动力学与控制学报
中国力学学会 湖南大学

动力学与控制学报

CSTPCD
影响因子:0.446
ISSN:1672-6553
年,卷(期):2024.22(3)
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