期刊
JOURNAL OF SANDWICH STRUCTURES & MATERIALS
卷 24, 期 2, 页码 973-1003出版社
SAGE PUBLICATIONS LTD
DOI: 10.1177/10996362211020429
关键词
Middle layer of variable thickness; 2D functionally graded materials; three-layer cylindrical shell; arbitrary boundaries; Chebyshev polynomials
类别
资金
- National Natural Science Foundation of China [52075086]
A unified method is developed to analyze free vibrations of the three-layer functionally graded cylindrical shell with non-uniform thickness. Chebyshev polynomials and the Rayleigh-Ritz method are used to further improve computational efficiency. The effects of spring stiffness, volume fraction indexes, configuration of shell, and change in thickness of the middle layer on the modal characteristics are also analyzed.
In this paper, a unified method is developed to analyze free vibrations of the three-layer functionally graded cylindrical shell with non-uniform thickness. The middle layer is composed of two-dimensional functionally gradient materials (2D-FGMs), whose thickness is set as a function of smooth continuity. Four sets of artificial springs are assigned at the ends of the shells to satisfy the arbitrary boundary conditions. The Sanders' shell theory is used to obtain the strain and curvature-displacement relations. Furthermore, the Chebyshev polynomials are selected as the admissible function to improve computational efficiency, and the equation of motion is derived by the Rayleigh-Ritz method. The effects of spring stiffness, volume fraction indexes, configuration on of shell, and the change in thickness of the middle layer on the modal characteristics of the new structural shell are also analyzed.
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