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| Analytical solution for free vibration of graphene platelets reinforced functionally graded cylindrical shell |
| Received:November 06, 2023 Revised:February 11, 2024 |
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| DOI：10.7511/jslx20231106001 |
| KeyWord:graphene platelets reinforcement functionally graded cylindrical shell free vibration natural frequency analytical solution |
| Author | Institution |
| 张靖华 |
兰州理工大学 理学院 工程力学系, 兰州 |
| 刘港 |
山西电子科技学院 智能制造工程学院, 临汾 |
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| Abstract: |
| The free vibration of a graphene platelets(GPL)-reinforced functionally graded cylindrical shell is studied analytically.Firstly,the governing differential equations for the vibration of the shell are derived based on the classical shell theory and the Hamilton principle.The equivalent modulus of elastieity of the composites is calculated by the modified Harpin-Tsai model,and the equivalent density and Poisson’s ratio are determined according to the mixing ratio criterion.Then,the analytical expression of the natural frequencies is obtained by using the Naiver method.The numerical results of the analytical expression are also given,and the influences of the distribution scheme,content,size and other parameters of GPL as well as the geometric parameters of the cylindrical shell on the natural frequencies are quantitatively analyzed.The results show that more GPL filled on the inner and outer surfaces of the cylindrical shell can greatly improve the stiffness.And a GPL with a larger surface area and a thinner thickness has a better reinforcement effect,thus increasing the fundamental frequencies.By adjusting the micro parameters of GPL,the natural frequencies of the composite shell can be actively changed. |
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