带裂纹石墨烯增强金属泡沫梁的振动特性研究  

Study on Vibration Characteristics of Cracked Metal Foam Beams Reinforced with Graphene

作　　者：石兴东 程鹏 张宇飞[1,2] Shi Xingdong;Cheng Peng;Zhang Yufei(College of Aerospace Engineering,Shenyang Aerospace University,Shenyang 110136,China;School of Civil Engineering and Architecture,Guangxi University,Nanning 530004,China)

机构地区：[1]沈阳航空航天大学航空宇航学院,沈阳110136 [2]广西大学土木建筑工程学院,南宁530004

出　　处：《动力学与控制学报》2024年第3期48-55,共8页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(12072201)。

摘　　要：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.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 graphene 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 vibration characteristics of FG-GPLRMF beams are influenced by the geometrical size of graphene,the pore type and the distribution of graphene platelet.

关 键 词：金属泡沫梁 石墨烯增强 自由振动 裂纹 微分变换法 

分 类 号：V21[航空宇航科学与技术—航空宇航推进理论与工程] O39[理学—工程力学]