Study on the modal frequency of a metal-ceramic functionally graded porous cylindrical shell

被引：0
|
作者：
Liu C. [1 ]
Liu W.-G. [1 ]
机构：
[1] School of Aeronautical Manufacturing Engineering, Nanchang Hangkong University, Nanchang
来源：
Chuan Bo Li Xue/Journal of Ship Mechanics | 2022年 / 26卷 / 03期
关键词：
Elastic foundation; Functionally graded cylindrical shell; Modal frequency; Porosity; Rayleigh-Ritz method;
D O I：
10.3969/j.issn.1007-7294.2022.03.011
中图分类号：
学科分类号：
摘要：
The modal frequencies of a metal-ceramic functionally graded porous cylindrical shell subjected to thermal load, elastic foundation and axial load are studied. Firstly, the temperature-dependent material properties of the functionally graded materials are analyzed by using the Voigt model and Sigmoid-shaped piecewise volume fraction model. Then, based on the Sanders shell theory and the Rayleigh-Ritz method, the modal frequency equation of a functionally graded cylindrical shell is derived. Thereafter, the modal frequency of the functionally graded shell is obtained by employing the MATLAB programming, and the correctness of modal equation is verified through the results obtained from literatures and FEA. In the end, the effects of nonlinear temperature rise, porosity, S-shaped volume fraction index, elastic foundation, etc. on the modal frequencies of a functionally graded shell are examined. Results indicate that the temperature gradient mainly has a greater effect on modal frequency as the vibration wave number of the cylindrical shell is lower than 4. Increasing the S-shaped volume fraction index not only increases the modal frequency of the structure, but also weakens the effects of temperature on the structure. Designing a functionally graded cylindrical shell with evenly-distributed porosity inside or adding elastic foundations outside can effectively improve the structural rigidity. © 2022, Editorial Board of Journal of Ship Mechanics. All right reserved.
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页码：414 / 425
页数：11
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