Nonlinear Dynamic Behavior of Hyperbolic Paraboloidal Shells Reinforced by Carbon Nanotubes with Various Distributions
The analytical solution of the nonlinear dynamic behavior of CNT-based hyperbolic paraboloidal shallow shells (HYPARSSs) with various distribution shapes is presented. A theoretical model was created for HYPARSSs reinforced with CNTs using the von Kármán -type nonlinearity. Then the nonlinear basic...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Shahid Chamran University of Ahvaz
2021-04-01
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| Series: | Journal of Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | https://jacm.scu.ac.ir/article_16374_9879622413e3b55497da74855a6bc586.pdf |
| _version_ | 1818966373272911872 |
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| author | Elcin Yusufoglu Mahmure AVEY |
| author_facet | Elcin Yusufoglu Mahmure AVEY |
| author_sort | Elcin Yusufoglu |
| collection | DOAJ |
| description | The analytical solution of the nonlinear dynamic behavior of CNT-based hyperbolic paraboloidal shallow shells (HYPARSSs) with various distribution shapes is presented. A theoretical model was created for HYPARSSs reinforced with CNTs using the von Kármán -type nonlinearity. Then the nonlinear basic equations are reduced to ordinary nonlinear differential equations using Galerkin methods and the correlation for frequency-amplitude relationship is obtained using the Grigolyuk method. In addition, the nonlinear frequency/linear frequency (NL/L) ratio is determined as a function of amplitude. Comparisons with reliable results in the literature were made to test the accuracy of the formulas. Finally, a systematic investigate is performed to control the influences of CNTs in the matrix, CNT distribution types and nonlinearity on the vibration frequency-amplitude relationship. |
| first_indexed | 2024-12-20T13:31:52Z |
| format | Article |
| id | doaj.art-eeb88d2f189846b787f35f5f0fb67d45 |
| institution | Directory Open Access Journal |
| issn | 2383-4536 2383-4536 |
| language | English |
| last_indexed | 2024-12-20T13:31:52Z |
| publishDate | 2021-04-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-eeb88d2f189846b787f35f5f0fb67d452022-12-21T19:39:04ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362021-04-017291392110.22055/jacm.2021.36043.278316374Nonlinear Dynamic Behavior of Hyperbolic Paraboloidal Shells Reinforced by Carbon Nanotubes with Various DistributionsElcin Yusufoglu0Mahmure AVEY1Department of Mathematics, Faculty of Arts and Sciences, Usak University, 64200 Usak, TurkeyDivision of Mathematics, Graduate School of Natural and Applied Sciences, Usak University, 64200 Usak, TurkeyThe analytical solution of the nonlinear dynamic behavior of CNT-based hyperbolic paraboloidal shallow shells (HYPARSSs) with various distribution shapes is presented. A theoretical model was created for HYPARSSs reinforced with CNTs using the von Kármán -type nonlinearity. Then the nonlinear basic equations are reduced to ordinary nonlinear differential equations using Galerkin methods and the correlation for frequency-amplitude relationship is obtained using the Grigolyuk method. In addition, the nonlinear frequency/linear frequency (NL/L) ratio is determined as a function of amplitude. Comparisons with reliable results in the literature were made to test the accuracy of the formulas. Finally, a systematic investigate is performed to control the influences of CNTs in the matrix, CNT distribution types and nonlinearity on the vibration frequency-amplitude relationship.https://jacm.scu.ac.ir/article_16374_9879622413e3b55497da74855a6bc586.pdfnonlinear dynamicscntshyperbolic paraboloidal shallow shellsamplitude-frequency relationship |
| spellingShingle | Elcin Yusufoglu Mahmure AVEY Nonlinear Dynamic Behavior of Hyperbolic Paraboloidal Shells Reinforced by Carbon Nanotubes with Various Distributions Journal of Applied and Computational Mechanics nonlinear dynamics cnts hyperbolic paraboloidal shallow shells amplitude-frequency relationship |
| title | Nonlinear Dynamic Behavior of Hyperbolic Paraboloidal Shells Reinforced by Carbon Nanotubes with Various Distributions |
| title_full | Nonlinear Dynamic Behavior of Hyperbolic Paraboloidal Shells Reinforced by Carbon Nanotubes with Various Distributions |
| title_fullStr | Nonlinear Dynamic Behavior of Hyperbolic Paraboloidal Shells Reinforced by Carbon Nanotubes with Various Distributions |
| title_full_unstemmed | Nonlinear Dynamic Behavior of Hyperbolic Paraboloidal Shells Reinforced by Carbon Nanotubes with Various Distributions |
| title_short | Nonlinear Dynamic Behavior of Hyperbolic Paraboloidal Shells Reinforced by Carbon Nanotubes with Various Distributions |
| title_sort | nonlinear dynamic behavior of hyperbolic paraboloidal shells reinforced by carbon nanotubes with various distributions |
| topic | nonlinear dynamics cnts hyperbolic paraboloidal shallow shells amplitude-frequency relationship |
| url | https://jacm.scu.ac.ir/article_16374_9879622413e3b55497da74855a6bc586.pdf |
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