双功能梯度石墨烯片增强金属-陶瓷基圆柱壳的行波振动分析

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摘要采用Halpin-Tsai微观力学模型和传递矩阵方法，开展了旋转态双功能梯度石墨烯片增强复合材料(DFG-GPLRC)圆柱壳体的行波振动特性研究。描述了金属-陶瓷功能梯度基体和五种石墨烯片分布模式的材料属性，基于Love壳理论和传递矩阵方法，考虑转速影响推导了任一截面状态向量的常微分方程和整体传递矩阵关系。以固支-自由(悬臂)边界条件为主，对动力学微分方程进行求解计算，验证了分析方法的合理性。结果表明，低阶模态以轴向半波数为1和周向模态的振动为主，转速引起的科氏力使行波曲线出现分离现象；行波频率随着石墨烯重量分数的增加而增大，分布模式对振型顺序的影响较小，基体体积分数指数对振动特性的影响较大，而石墨烯片层数对振动特性的影响很小，不同倍频激励对共振特性的影响不同。

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	徐宏达
	王宇
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	李学辉
	于晓光

关键词 ：金属-陶瓷基, 石墨烯片增强, 旋转圆柱壳, Halpin-Tsai模型, 传递矩阵法, 行波振动

Abstract：Based on Halpin-Tsai micromechanical model and transfer matrix method, the traveling wave vibration characteristics of a rotating dual-functionally graded graphene platelet reinforced composite(DFG-GPLRC) cylindrical shell were investigated. The material properties of metal-ceramic functionally graded matrix and five types of distribution patterns of graphene platelet were analyzed. Based on the Love’s shell theory and transfer matrix method, the ordinary differential equations and the global transfer matrix relation for any cross section state vector were derived considering the influence of rotational speeds. The dynamic differential equations were solved based on clamped-free (cantilever) boundary condition mainly, which verified the rationality of the analytical method. The research shows that the low-order modes are dominated by the first axial half-wave number and the circumferential mode vibration for the free end, and the coriolis force caused by rotating speeds makes the traveling wave curve separate. The traveling wave frequencies increase with the increase of graphene material weight fraction, and the distribution patterns have little effect on the mode shape order. The volume fraction exponent of the matrix has some obvious effects on the vibration characteristics, while the number of graphene layers has little effect, and different excitation frequencies have different effects on resonance characteristics.

Key words： metal-ceramic matrix graphene platelet reinforced rotating cylindrical shell Halpin-Tsai model transfer matrix method travelling wave vibration

出版日期: 2024-02-15

引用本文:

徐宏达，王宇，菅泽，李学辉，于晓光. 双功能梯度石墨烯片增强金属-陶瓷基圆柱壳的行波振动分析[J]. 振动与冲击, 2024, 43(3): 110-119.
XU Hongda, WANG Yu, JIAN Ze, LI Xuehui, YU Xiaoguang. Traveling wave vibration analysis of dual-functional gradient metal-ceramic matrix rotating cylindrical shell reinforced by graphene sheets. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(3): 110-119.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2024/V43/I3/110

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