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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2024-4pp.2594-2616

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Ziyi Wang, Yu Wang, Ziqiang Xu, Ying Zhang, Xuehui Li, and Yue Gu, "Modeling and Free Vibration Analysis of Dual-Functionally Graded Carbon Nanotube Reinforced Composite Stepped Cylindrical Shells with Arbitrary Boundary Conditions," Mech. Solids. 59 (4), 2594-2616 (2024)
Year 2024 Volume 59 Number 4 Pages 2594-2616
DOI 10.1134/S0025654424604282
Title Modeling and Free Vibration Analysis of Dual-Functionally Graded Carbon Nanotube Reinforced Composite Stepped Cylindrical Shells with Arbitrary Boundary Conditions
Author(s) Ziyi Wang (University of Science and Technology Liaoning, Anshan, 114051 China)
Yu Wang (University of Science and Technology Liaoning, Anshan, 114051 China, wangzy801@163.com)
Ziqiang Xu (University of Science and Technology Liaoning, Anshan, 114051 China)
Ying Zhang (University of Science and Technology Liaoning, Anshan, 114051 China)
Xuehui Li (University of Science and Technology Liaoning, Anshan, 114051 China)
Yue Gu (University of Science and Technology Liaoning, Anshan, 114051 China)
Abstract In this paper, considering the dual-functionally graded carbon nanotube reinforced composite (DFG-CNTRC) cylindrical shells with stepped variable thicknesses, the free vibration characteristics of the shell under arbitrary boundary conditions are investigated. To begin with, based on the improvement law of the mixtures, the effective material properties of DFG-CNTRC are obtained. Then, the artificial spring technique is used to simulate the continuous coupling between the shell segments and the boundary conditions at both ends of the shell. Further, based on the first-order shear deformation theory (FSDT), the dynamics equations of DFG-CNTRC stepped cylindrical shells are derived by the Rayleigh–Ritz method using Chebyshev polynomials as admissible functions. Therefore, the dynamic differential equation of the shell with arbitrary boundary conditions is solved. Finally, compared with the data from existing literature, the results indicate that the proposed method has excellent validity and reasonable convergence. Moreover, the effects of carbon nanotubes (CNTs) volume fraction, CNTs distribution types, matrix volume fraction, geometric parameters, and spring stiffness value on the vibration characteristics of DFG-CNTRC stepped cylindrical shells are assessed.
Keywords dual-functionally graded materials, carbon nanotube reinforced, stepped cylindrical shells, arbitrary boundary conditions, vibration characteristics
Received 14 June 2024Revised 02 September 2024Accepted 12 September 2024
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