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Free Vibration Analysis of Toroidal Shell Segments with Novel Four-Unknown Refined Theory
This study presents an analytical solution for the free vibration response of toroidal shell segments subjected to different boundary conditions. The shell segments are made of a functionally graded graphene platelet reinforced composite (FG-GPLRC). The modified Halpin-Tsai model together with the rule of the mixture is adopted to derive the effective material properties of the nano-composites. The governing equation of motion for the shell is formulated within the framework of the novel four-unknown refined shell theory. The positive feature of such adopted shell theory results directly from the reduction of the number of key unknowns, without using the shear correction factor. The Rayleigh–Ritz procedure is subsequently implemented to determine the natural frequencies of the shell with different boundary conditions. Finally, numerical results and useful remarks on the free vibration of the shells are provided.
Free Vibration Analysis of Toroidal Shell Segments with Novel Four-Unknown Refined Theory
This study presents an analytical solution for the free vibration response of toroidal shell segments subjected to different boundary conditions. The shell segments are made of a functionally graded graphene platelet reinforced composite (FG-GPLRC). The modified Halpin-Tsai model together with the rule of the mixture is adopted to derive the effective material properties of the nano-composites. The governing equation of motion for the shell is formulated within the framework of the novel four-unknown refined shell theory. The positive feature of such adopted shell theory results directly from the reduction of the number of key unknowns, without using the shear correction factor. The Rayleigh–Ritz procedure is subsequently implemented to determine the natural frequencies of the shell with different boundary conditions. Finally, numerical results and useful remarks on the free vibration of the shells are provided.
Free Vibration Analysis of Toroidal Shell Segments with Novel Four-Unknown Refined Theory
Lecture Notes in Civil Engineering
Geng, Guoqing (editor) / Qian, Xudong (editor) / Poh, Leong Hien (editor) / Pang, Sze Dai (editor) / Nguyen, Van-Loi (author) / Limkatanyu, Suchart (author) / Rungamornrat, Jaroon (author)
2023-03-14
11 pages
Article/Chapter (Book)
Electronic Resource
English
Free vibration , Toroidal shell segments , Four-unknown refined shell theory , Rayleigh–Ritz method Engineering , Building Construction and Design , Structural Materials , Solid Mechanics , Sustainable Architecture/Green Buildings , Light Construction, Steel Construction, Timber Construction , Offshore Engineering
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