本文运用有限元法对功能梯度圆柱软芯夹层壳进行振动特性分析，通过APDL建立功能梯度芯材模型，运用Block Lanczos法进行自由振动频率的求解。对模型结构的影响进行参数化研究，研究功率指数p值、内外夹层与芯材厚度比以及不同侧厚比对结构自由振动特性的影响。研究结果表明，在一定范围内，圆柱体的固有频率随着材料指数p的增大而减小，随着圆柱壳厚度的增大而增加。
In this paper, the finite element method is used to analyze the vibration characteristics of functionally graded cylindrical sandwich shells with soft core.The functional gradient core material model is established by APDL,and the vibration frequency of simply supported cylindrical sandwich shells is solved by Block Lanczos method. The influence of power index p value, thickness ratio of inner and outer sandwich to core material and different side thickness ratio on the vibration characteristics of the model structure were studied. The results show that, within a certain range, the natural frequency of the cylinder decreases with the increase of the material index p. The natural frequency of the cylinder increases with the thickness of the cylindrical shell.
2022,44(24): 11-15 收稿日期：2021-08-05
DOI：10.3404/j.issn.1672-7649.2022.24.003
分类号：U663.1
基金项目：国家自然科学基金资助项目(52001145)
作者简介：胡大伟(1997-),男,硕士研究生,研究方向为结构与振动声辐射
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