Received: 14-04-2020
Accepted: 20-07-2020
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Free Vibration Analysis of Functionally Graded Porous Circular Cylindrical Shell Based on the first Shear Deformation Theory
,
Tran Huu Quoc
2
,
Ho Thi Hien
2
Keywords
Free vibration analysis, porous material, cylindrical shell, first-order shear deformation theory
Abstract
In this paper, an analytical solution based on the first-order shear deformation theory (FSDT) is used for the free vibration analysis of the circular cylindrical shell made of porous materials. The cylindrical shell is simply supported at two ends. The elasticity moduli and mass density of porous materials are assumed to be graded in the thickness direction according to symmetric distribution types. Based on Hamilton’s principle, the equations of motion are derived. To verify the reliability of the present solution, the comparisons between the obtained results and the availably published literature are performed for the isotropic cylindrical shell, and very good agreement is observed. The effect of porosity coefficient and geometrical parameters on natural frequencies of the shell are also investigated and discussed in details.
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