The free vibration analysis of carbon nanotubes-reinforced deep conical shells with an intermediate ring support under various boundary conditions

The free vibration analysis of carbon nanotubes-reinforced deep conical shells with an intermediate ring support under various boundary conditions

This article explores the free vibration characteristics of a conical shell strengthened with intermediate ring. The system is thought to be made up of a linearly elastic nanocomposite that is reinforced with carbon nanotubes (CNTs). To get the effective material characteristics, the modified rule o...

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Bibliographic Details
Published in:Engineering structures Vol. 263; p. 114291
Main Authors: Hou, Suxia, Zheng, Yangning, Zandi, Yousef, Khadimallah, Mohamed Amine, Ebtekar, Arash
Format: Journal Article
Language:English
Published: Kidlington Elsevier Ltd 15-07-2022
Elsevier BV
Subjects:
Algorithms
Boundary conditions
Carbon
Carbon nanotubes
Compatibility
Conical shells
Cylindrical shells
Eigenvalues
Equations of motion
FG-CNTRC conical shell
Free vibration
Functionally gradient materials
Hamilton's principle
Hybrid TE-GDQE method
Nanocomposites
Nanotechnology
Nanotubes
Quadratures
Shells
Solid ring
Vibration
Vibration analysis
FG-CNTRC conical shell
Solid ring
Free vibration
Hybrid TE-GDQE method
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Summary:This article explores the free vibration characteristics of a conical shell strengthened with intermediate ring. The system is thought to be made up of a linearly elastic nanocomposite that is reinforced with carbon nanotubes (CNTs). To get the effective material characteristics, the modified rule of mixtures is employed. To account for shear deformations and rotational inertias occurring across the depth of the shell, the first-order model of shells is combined with Donnell’s classical kinematic constraints. Hamilton’s principle is applied to construct the generic motion equations and their related boundary and compatibility constraints. The resulting set of equations is solved analytically in the structure’s circumferential direction. Additionally, the generalized differential quadrature element (GDQE) algorithm is performed to discretize the radial motion equations. An eigenvalue issue is constructed with various edge conditions for the structure boundaries and compatibility conditions to investigate the vibration frequencies. After demonstrating the efficacy and accuracy of the current approach for applying functionally graded (FG) CNT reinforced composite (RC) cylindrical shells with intermediate circle support, several parametric investigations are conducted to determine the effect of the geometric and ingredient properties of FG-CNTRC conical shells. •Natural frequencies of FG-CNTRC conical shell.•Application of solid ring supporter to control and change the free vibration.•Implementing TE-GDQE method to solve the current problem.•Applying suitable continuity conditions in the shell edges and ring location.
ISSN:0141-0296
1873-7323
DOI:10.1016/j.engstruct.2022.114291