非线性温度场下功能梯度石墨烯增强多孔薄板的自由振动
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国防科技大学

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V414.8

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国家自然科学基金项目(面上项目,重点项目,重大项目),湖南省自然科学基金资助项目


Free vibration of functionally graded graphene platelets-reinforced porous thin plates in a nonlinear temperature field
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    摘要:

    针对功能梯度石墨烯增强(functionally graded graphene platelets-reinforced, FG-GPL)多孔薄板在热环境下的振动特性开展研究。基于材料微观力学模型和改进的一阶剪切板理论,在非线性温度场下,建立了FG-GPL多孔薄板的热振动控制方程;使用状态空间法解析求解了固有频率;验证了解的正确性与精度,研究了热环境和材料分布方式各自及其组合对频率的影响,并着重分析了最适用于高温环境的材料分布参数。并给出不同温度梯度时,使板频率最高的材料参数组合。研究发现,通过在高温面设置更多孔隙、在板的上下两侧对称添加石墨烯的方式,能使板保持较高且稳定固有频率。

    Abstract:

    Vibration characteristics of FG-GPL(functionally graded graphene platelets-reinforced) porous thin plates in a thermal environment were investigated. Thermal vibration governing equations of FG-GPL porous thin plates were established based on the material micromechanical model and a refined first-order shear deformation theory in a nonlinear temperature field. Natural frequency was analytically solved using the state space method. Correctness and accuracy of the model were validated. The most suitable material distribution parameters for high-temperature environments were mainly investigated by analyzing the effects of the thermal environment, material distribution pattern, and their combination on frequency. Moreover, the material parameter combination that maximizes the plate frequency for different thermal gradients were provided. It is found that, by increasing porosity on the high-temperature surface and symmetrically adding graphene on both sides of the plate, the plate maintains a high and stable natural frequency.

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  • 收稿日期:2024-06-21
  • 最后修改日期:2024-11-14
  • 录用日期:2024-09-29
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