期刊
ARCHIVE OF APPLIED MECHANICS
卷 91, 期 12, 页码 4817-4834出版社
SPRINGER
DOI: 10.1007/s00419-021-02036-7
关键词
Spinning porous beam; Graphene platelets; Chordwise bending vibration; Flap-wise bending vibration; Differential transformation method
类别
资金
- National Natural Science Foundation of China [11922205, 12072201]
- LiaoNing Revitalization Talents Program [XLYC1807026]
- Fundamental Research Funds for the Central Universities [N2005019]
This work analyzes the free vibration of a spinning functionally graded graphene platelet-reinforced metal foam beam, considering the effects of graphene platelet geometry size, types of porosity, and distributions on the vibration characteristics.
This work analyzes the free vibration of a spinning functionally graded graphene platelet-reinforced metal foam (FG-GPLRMF) beam. The differential transformation method is extended to analyze flap-wise bending vibration and chordwise bending vibration with Coriolis force effect for the first time. The beam is modeled using the Euler-Bernoulli beam theory. The Halpin-Tsai micromechanics model is utilized to predict effective material properties. Various types of graphene platelet (GPL) and porosity distributions are considered. The governing equations and corresponding boundary conditions of the FG-GPLRMF beam are obtained via Hamilton's principle. Results show that the vibration characteristics of the FG-GPLRMF beam are affected by the GPL geometry size, types of porosity, and GPL distributions. Among different types of porosity, the Porosity-A causes the highest fundamental natural frequency, while the Porosity-B corresponds to the lowest one of the spinning FG-GPLRMF beam in most cases. Moreover, the GPL pattern and porosity distribution have a coupled effect on the bending vibration of the spinning FG-GPLRMF beam.
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