| | Mechanics of Solids A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544 Online ISSN 1934-7936 |
Archive of Issues
Total articles in the database: | | 12949 |
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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In English (Mech. Solids): | | 4853 |
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<< Previous article | Volume 59, Issue 4 / 2024 | Next article >> |
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 2024 | Revised |
02 September 2024 | Accepted |
12 September 2024 |
Link to Fulltext |
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