Identifying the temperature effect on the vibrations of functionally graded cylindrical shells with porosities

doi:10.1007/s10483-018-2388-6

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (11): 1587-1604.doi: https://doi.org/10.1007/s10483-018-2388-6

Identifying the temperature effect on the vibrations of functionally graded cylindrical shells with porosities

Yanqing WANG^1,2, Chao YE¹, J. W. ZU³

1. Department of Mechanics, Northeastern University, Shenyang 110819, China;
2. Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang 110819, China;
3. Schaefer School of Engineering and Science, Stevens Institute of Technology, Hoboken, NJ 07030, U. S. A

收稿日期:2018-03-02 修回日期:2018-06-07 出版日期:2018-11-01 发布日期:2018-11-01
通讯作者: Yanqing WANG E-mail:wangyanqing@mail.neu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11672071) and the Fundamental Research Funds for the Central Universities (No. N170504023)

Identifying the temperature effect on the vibrations of functionally graded cylindrical shells with porosities

Yanqing WANG^1,2, Chao YE¹, J. W. ZU³

1. Department of Mechanics, Northeastern University, Shenyang 110819, China;
2. Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang 110819, China;
3. Schaefer School of Engineering and Science, Stevens Institute of Technology, Hoboken, NJ 07030, U. S. A

Received:2018-03-02 Revised:2018-06-07 Online:2018-11-01 Published:2018-11-01
Contact: Yanqing WANG E-mail:wangyanqing@mail.neu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11672071) and the Fundamental Research Funds for the Central Universities (No. N170504023)

摘要/Abstract

摘要：

The free thermal vibration of functionally graded material (FGM) cylindrical shells containing porosities is investigated. Both even distribution and uneven distribution are taken into account. In addition, three thermal load types, i.e., uniform temperature rise (UTR), nonlinear temperature rise (NLTR), and linear temperature rise (LTR), are researched to explore their effects on the vibration characteristics of porous FGM cylindrical shells. A modified power-law formulation is used to describe the material properties of FGM shells in the thickness direction. Love's shell theory is used to formulate the straindisplacement equations, and the Rayleigh-Ritz method is utilized to calculate the natural frequencies of the system. The results show that the natural frequencies are affected by the porosity volume fraction, constituent volume fraction, and thermal load. Moreover, the natural frequencies obtained from the LTR have insignificant differences compared with those from the NLTR. Due to the calculation complexity of the NLTR, we propose that it is reasonable to replace it by its linear counterpart for the analysis of thin porous FGM cylindrical shells. The present results are verified in comparison with the published ones in the literature.

关键词: circular plate, large deflection, the modified method of multiple scales, the method of composite expansions, asymptotic solution, functionally graded material (FGM), porosity, cylindrical shell, Rayleigh-Ritz method, free vibration, thermal load

Abstract:

Key words: circular plate, large deflection, the modified method of multiple scales, the method of composite expansions, asymptotic solution, free vibration, cylindrical shell, porosity, functionally graded material (FGM), Rayleigh-Ritz method, thermal load

中图分类号:

74H45

Yanqing WANG, Chao YE, J. W. ZU. Identifying the temperature effect on the vibrations of functionally graded cylindrical shells with porosities[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(11): 1587-1604.

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Identifying the temperature effect on the vibrations of functionally graded cylindrical shells with porosities

Identifying the temperature effect on the vibrations of functionally graded cylindrical shells with porosities

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