期刊
COMPOSITE STRUCTURES
卷 258, 期 -, 页码 -出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2020.113403
关键词
Three-dimensionally FG shell structures; Vibration analysis; Eringen's theory; Galerkin solution method
资金
- Shaanxi Innovation Capability Support Plan [2018TD-036]
- Shaanxi Natural Science Basic Research Project [S2019-JC-YB-2897]
- Research Project of Graduate Education and Teaching Reform of Xi'an Technological University
- Universiti Kebangsaan Malaysia Research Grant [GUP-2018-030]
This paper investigates the free vibration of three dimensionally functionally graded (FG) nanoplates and nanoshells for the first time, considering the small scale effect due to nanostructures and the influence of nonlocal parameters on natural frequencies. The results presented in this study can serve as benchmarks for future mechanical analysis of three-dimensionally FG shell structures.
Up to now, no studies have been yet reported to study the mechanical behaviors of three dimensionally functionally graded (FG) shell structures. In this paper, the free vibration of three dimensionally FG nanoplates and nanoshells are investigated for the first time. All of the mechanical properties expect passion's ratio are assumed to be changed along the length, width and thickness directions, which can vary according to an arbitrary function. The small scale effect due to nanostructures is considered based on nonlocal Eringen's theory where Hamilton's principle is adopted to derive the equations of motion. Galerkin solution method is adopted to obtain the natural frequencies of the FG nanostructures. Dynamic results are reported for nanoplates, spherical nanoshells, and cylindrical nanoshells for simply supported boundary conditions. The influences of several parameters, such as nonlocal parameter and functionally graded indexes are investigated on the natural frequency of the nanostructures. The results of the presented study can be served as benchmarks for future mechanical analysis of three-dimensionally FG shell structures.
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