功能梯度石墨烯增强多孔复合材料阶梯圆柱壳的振动特性

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摘要对功能梯度石墨烯增强多孔复合材料（FG-GPLRPC）阶梯圆柱壳的振动特性进行了研究。首先，采用Halpin-Tsai微观力学模型以及开胞体理论得到FG-GPLRPC阶梯圆柱壳的有效材料属性。其次，基于一阶剪切变形理论和惩罚参数法推导出壳体结构的能量表达式。最后，采用Jacobi-Ritz法建立壳体结构的振动控制方程，并求得结构的无量纲频率，验证了方法的有效性和正确性。结果表明，石墨烯质量分数、孔隙系数和边界弹簧刚度值对振动特性的影响显著，层数对振动特性的影响较小，尺寸参数对振动特性的影响不同，并得到了壳体频率随周向波数先减小后增大的变化规律。

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	徐宏达
	王宇
	徐自强
	贾小羽
	于晓光

关键词 ：石墨烯增强, 多孔复合材料, 阶梯圆柱壳, 一阶剪切变形理论, Jacobi-Ritz法

Abstract：The vibrational properties of functionally graded graphene platelet reinforced porous composites (FG-GPLRPC) stepped cylindrical shell were investigated in this study. First, the effective material properties of the FG-GPLRPC stepped cylindrical shell are obtained using the Halpin-Tsai micromechanical model as well as the open-cell body theory. Secondly, the energy expressions of the shell structure are derived based on the first-order shear deformation theory and the penalized parameter method. Finally, the Jacobi-Ritz method is used to establish the vibration control equation of the shell structure and to find the dimensionless frequency of the structure, which verifies the validity and correctness of the method. The results show that the mass fraction of graphene, porosity coefficient and boundary spring stiffness value have significant effects on the vibration characteristics, the number of layers has less effect on the vibration characteristics, the dimensional parameters have different effects on the vibration characteristics, and the variation law of the shell frequency decreases and then increases with the circumferential wave number is obtained.

Key words： graphene reinforced porous composites stepped cylindrical shell first-order shear deformation theory Jacobi-Ritz method

收稿日期: 2023-06-06 出版日期: 2024-04-15

引用本文:

徐宏达，王宇，徐自强，贾小羽，于晓光. 功能梯度石墨烯增强多孔复合材料阶梯圆柱壳的振动特性[J]. 振动与冲击, 2024, 43(7): 317-326.
XU Hongda, WANG Yu, XU Ziqiang, JIA Xiaoyu, YU Xiaoguang. Vibration characteristics of functionally graded graphene reinforced porous composite stepped cylindrical shell. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(7): 317-326.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2024/V43/I7/317

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