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期刊名称: Archive of Applied Mechanics
Volume:85    Issue:4        Page:539-553
ISSN:0939-1533

A shear deformable cylindrical shell model based on couple stress theory期刊论文

作者: Zeighampour Hamid Beni Yaghoub Tadi
DOI:10.1007/s00419-014-0929-8

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页码: 539-553
被引频次: 35
出版者: SPRINGER,Springer
期刊名称: Archive of Applied Mechanics
ISSN: 0939-1533
卷期: Volume:85    Issue:4
语言: English
摘要: In this paper, formulation of the thin cylindrical shell via the modified couple stress theory by taking account of shear deformation and rotary inertia is obtained. To do this, the study developed the first shear deformable cylindrical shell theory by considering the size effects via the couple stress theory and the equations of motion of shell with classical and non-classical boundary conditions were extracted through Hamilton's principle. In the end, as an example, free vibrations of the single-walled carbon nanotube (SWCNT) were investigated. Here, the SWCNT was modeled as a simply supported shell, and the Navier procedure was used to solve the vibration problem. The results of the new model were compared with those of the classical theory, pointing to the conclusion that the classical model is a special case of the modified couple stress theory. The findings also demonstrate that the rigidity of the nano-shell in the modified couple stress theory compared with that in the classical theory is greater, resulting in the increase in natural frequencies. In addition, the effect of the material length scale parameter on the vibrations of the nano-shell in different lengths and thickness was investigated.
相关主题: Modified couple stress theory, First shear deformable shell theory, Cylindrical shell, Size effect, STRAIN GRADIENT THEORY, ELASTICITY, MECHANICS, FREE-VIBRATION, MOLECULAR-DYNAMICS SIMULATION, CARBON NANOTUBES, Vibration, Analysis, Nanotechnology, Nanotubes,

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